Poetry Appreciation Essay Essays

Verse Appreciation Essay Essays Verse Appreciation Essay Verse Appreciation Essay In this exposition I am making a trip to thoroughly analyze ‘When we two parted’ a section type of George Gordon. Master Byron’s written in 1815 and Letitia Elizabeth Landon’s ‘Love’s last lesson’ written in c1838. the two writers are British and of the sentimental period. ‘When we two parted’ is a regret of the loss of adoration. Byron is reflecting and breaking down a relationship that has just finished. His despair. choler and distress. increases his use of first person. which keeps up a solid effect on the crowd all through. The section structure is amazing. individual and open. the feeling and enthusiasm is strongly felt through his creation. Byron’s message is dubious ; so the peruser can do their ain reason this is the excellence of the section structure. it is able to single perusing. doing it comprehensive and relatable to a wide range of condition of affairss. The development of the section structure is isolated into four verses every one being an eight. Accentuation recommends that each two lines can be perused as one. the meter of the section structure is measured rhyming. each line holding 5 iambs and 10 syllables when two lines are perused as one. The riming structure in verse one. two and four is ababcdcd yet refrain three is ababacac. The section structure mainly has a normal rhyming procedure however the ‘flow’ is upset in verses one and four lines five and six. I am non sure if this was knowing. I accept the section structure can be deciphered from numerous points of view ; the general inclination is the detachment of two sweethearts. all through the section structure there are army makes reference to proposing grieving. misfortune and unfaithfulness. In the primary Stanza the allegory ‘Pale developed thy cheek and cold. colder thy buss ; ’ utilizes pale and cold interestingly with the rose-shaded warm creative mind of life. this could great be an indicant of expire however could just be an exaggeration of how he felt after the interference up. On Line four the announcement ‘To cut off for years’ is obscure as it recommends a drawn-out partition however can other than mean cut in two in this manner could be identified with line three ‘Half broken-hearted’ . another fascinating point is that the Byron utilized the word mature ages rather than interminability or everlastingly. perhaps there was a desire for being brought together again in the great beyond. ‘Sorrow’ represents the anguish and mourning he feels. non needfully for individual who has gone off simply only a misfortune. In verse two ‘The dew of the forenoon. Sunk frostiness on my brow’ the dew is the cool dampness. the picture of downpour could be a tale of cryings and importance his wretchedness. ‘Thy pledges are completely broken. ’ infers his ‘lover’ was or is hitched or the guarantees she made to him were broken. later Byron talks about inclination embarrassed when he hears his/her name. perchance on the grounds that their relationship was illegal. The undermentioned refrain utilizes a ground-breaking look ‘They name thee before me. A chime to mine ear ; A frisson comes o’er me’ a toll is the sound of a dejecting ringer round simple at a memorial service. his sweetheart may hold kicked the bucket or Byron could again be exaggerating his feelings. discourse creation as if his sweetheart or ex darling has gone off. On line 20 Lord Byron asks ‘Why wert 1000 so adored? ’ for what reason would you say you were so specific? Or then again for what reason did I love you to such an extent? . he is oppugning and detesting these sentiments. the section structure so proceeds to asseverate that figure was conscious of the relationship non even those that knew them both great. ‘Long. long will I atone thee. too much significantly to state. ’ Byron is plainly expressing that he sharply laments the situation. wishing it had neer happened conceivably in any event, encountering liable if his sweetheart was hitched. At long last the fourth verse affirms a matter or some likeness thereof ‘In mystery we met peacefully I lament. That thy chest could cover. Thy soul deceive’ . in the event that his sweetheart had passed on or basically came back to his/her companion. so he would even now distress peacefully as the relationship was private. Byron feels sold out and rancorous ab out the relationship. the utilization of the word ‘spirit’ again gives the sentiment of perish. ‘If I should run into thee. after long mature ages. by what means should I perceive thee! With quietness and tears’ . the last line of the section structure is a reverberation of the second line ; giving a sentiment of hesitation. while the shouting grade places the reverberated line in an alternate setting. at the point when they meet again it will be with quiet and cryings by and by the quietness will hold an alternate importance and the cryings will non be 1s of distress. It is about like every refrain speaks to the musicality of Byron’s feelings. verse one is the underlying disintegration and the beginning of his distressing strategy. in refrain two Byron is as yet troubled and proceeds to show his setback and humiliation. by refrain three he is embarrassed about himself. oppugning the adoration and significantly apologizing the situation in the long run in refrain four he is rancorous and fantasizing of how he would overlook her/him on the off chance that they were to ever run into again. Love’s last lesson’ is a monologue stand foring Landon’s rout. My inclination is that the character has succumbed to individual who hasn’t restored her affection or wasn’t taking the ‘relationship’ each piece genuinely as she might have been. The development of the section structure is free verse ; it has neither customary meters nor rime In lines one to eight Landon communicates her choler and thrashing towards her ex love. who has clearly proceeded onward and cover their relationship with effectiveness. she can non grok how it is her that’s been excused as she believes she was the ideal friend. Landon utilizes words from a semantic field of confidence ‘I who have worshipp’d thee. my God on earth’ is a solid articulation yet the analogy underlines her total love for him. ‘Your last offer. cover me. ‘she talks roughly him just as he has command over her and she should obey him. ‘Will it non drop significantly down inside my deepest mind? ’ oppugning herself for comfort the artist doesn’t think it’s conceivable to go on. ‘Forget thee! †ay. distraction will be a forgiveness to me’ she genuinely wishes she could fence her feelings. it would end her pain. The injury has assumed responsibility for her life to the degree of staying away from sleep in fear ; she remembers the torment in her incubuss ‘a dream had made me unrecorded my sufferings again’ . The fantasies she has are in truth more regrettable than world. ‘Acting my hopelessness. without the expectation my silly chest despite everything sticks to. ’ the solitary thing Landon can make currently is ‘hope’ that there will be some designed development despite the fact that she herself thinks it’s incredibly doubtful. her expectation is the just positive thing she has left other than the pain and distress. she utilizes the comparison of expectation resembling a medication that quiets her stinging to some degree until the acknowledgment hits which makes it unbearable ‘double torture’ . Landon is separated and spending her yearss altogether emotions apprehensive and uncomfortable. ‘when a breath sent the ruby to my cheek. like the rosy spouting of an unexpected injury ; by all the imprudent articulations and the indiscreet words which need to me been similar to the Scorpios stinging’ ruby and bronzed flushing to the cheek gives a creative mind of disgrace. this gave me the sentiment of defamation. Landon may hold a history that she isn’t pleased with and that is the thing that she truly needs to cover. the way she is being dismissed is what is throbbing more than anything as she said it resembled a ‘scorpion stinging’ which is a comparison for indefinable harming. In this verse Landon offers some amazing expressions ; her felicity has been obliterated everlastingly. she’s esteemed with imperishable wretchedness. her emotions have been squandered. her wellbeing crushed. her expectations have been squashed and her chest took.

The Impacts of Government Intervention into the Market

In 2009 the organization of Barack Obama forced higher duties on the imports of tires from China. To a huge degree, this choice can be seen as the strategy of protectionist since it expects to shield local makers from outside competition.Advertising We will compose a custom exposition test on The Impacts of Government Intervention into the Market explicitly for you for just $16.05 $11/page Learn More This paper will talk about the impacts of such government intercession into the market; specifically, we will talk about the connection among request and flexibly. Generally speaking, it is conceivable to contend that this choice will strongly affect the customers, who might need to follow through on greater expense for the item. It ought to be noticed that in 2008 Chinese producers spoke to around 17 percent of the tire business in the United States (Shedlock, unpaged). The new 35% levies constrained a considerable lot of them out of the market. Thusly, the amount of items, accessible t o US customers has lessened. It is smarter to represent these progressions with the assistance of gracefully and request bends. This outline shows that the gracefully of tires lessened while the interest for the item stayed at a similar level. The main conceivable result of these progressions is the expansion of costs. The key issue is that after the presentation of higher duties, the exhibition of household tire-fabricates didn't improve; actually, they delivered a similar measure of tires, around 136 million as in 2008 (Shedlock, unpaged). The main contrast is that now Chinese firms can't rival American makers on equivalent footing. This proof shows that lackluster showing of the US tire industry can be clarified not just by the solid Chinese nearness. The starting points of this decrease ought to be looked for in the emergency that inundated the whole car industry, including tire producers. It ought to be conceived as a primary concern that not all agents of the US tire industry bolster this choice of the Obama organization. Some of them accept that these levies will hurt an extraordinary number of individuals, who work in this industry, for instance, retailers, experts, wholesalers, dockworkers, etc (Tire Industry Association, unpaged).Advertising Looking for paper on business financial aspects? How about we check whether we can support you! Get your first paper with 15% OFF Learn More As an obvious truth, it is speculated that this administration mediation into the market may bring about the loss of 25,000 US occupations. As should be obvious, this is one of those cases, when the arrangements of protectionism can reverse discharge. Furthermore, one should consider that the United States sends out an extraordinary number of items to China; specifically, we have to make reference to agrarian merchandise (Shedlock, unpaged). In this manner, if Chinese government chooses to react to the US approaches along these lines, numerous American ranchers will continue incredible misfortunes in income. Aside from that, some American makers such Boeing may likewise experience the ill effects of this strategy, gave that the Chinese clients of this organization decide to work with an alternate provider. At first, Barack Obama’ choice to require higher duties should safeguard roughly 5.000 occupations for American specialists. In any case, the potential downsides of this strategy far exceed its advantages. Above all else, it can prompt the development in costs for the item. Furthermore, it will hurt those individuals, who help to move and appropriate tires to the clients. Thirdly, this protectionist strategy may strain the US exchange relations with China, which may deliver unfriendly impacts on numerous American undertakings, particularly ranchers. Works Cited Shedlock, Mike. â€Å"Obama Risks Global Trade War with Misguided Tariffs†. MISH Global Economic Trade Analysis. 2010. Gotten to from http://globaleconomicanalysis.blogspot.com/2 009/09/obama-dangers worldwide exchange war-with.html Tire Industry Association. â€Å"Tire Industry Association Expresses Disappointment With President’s Decision Concerning Chinese Tire Tariff† 2009. Gotten to from https://www.tireindustry.org/ This exposition on The Impacts of Government Intervention into the Market was composed and presented by client Keith V. to help you with your own examinations. You are allowed to utilize it for research and reference purposes so as to compose your own paper; be that as it may, you should refer to it in like manner. You can give your paper here.

How Much Would it Cost to Travel to Every Star Wars Filming Location

How Much Would it Cost to Travel to Every Star Wars Filming Location How Much Would it Cost to Travel to Every Star Wars Filming Location? How Much Would it Cost to Travel to Every Star Wars Filming Location?Updated: May 8, 2018From the snowy hills of Hoth to the woods of Endor and the deserts of Jakku and Tatooine, the saga of the Skywalkers wouldn’t be the same without the stunning vistas and alien landscapes on which their story plays out.And one of the great things about the Star Wars movies is that most of those alien planets are actually real places on planet Earth! If you wanted to really celebrate your Star Wars fandom, you could take a trip around the world to visit all of them.Sounds awesome, right? But also expensive. And while the cost might be less than you think. It’s still a lot. The cost of traveling to the filming locations (excluding studio lots) for all nine existing  Star Wars  movies would be just a hair over $12,500. Woof. And that doesn’t even take into account the cost of food and lodging!So, unless you’re  as rich as a Hutt, taking this trip is going to mean saving money. A lot of money. Of course, you could look for a payday loan online  to pay your wayâ€"we just wouldn’t recommend it. At all. We can’t emphasize that enough.By the way, when we tell you that this trip would take you around the world. We mean it you would literally be traveling around the world and back. But don’t take our word for it! Check out this handy-dandy infographic that shows where you’d travel to and how much it would cost.(For a more in-depth cost breakdown, just keep scrollingâ€"crawling?â€"once you’re done.)Enjoy! And May the Force be With You! (sorry.)First things first. We had to pick a place to start our trip from, so we decided on Chicago. Why? Because it’s the best dang city on earth!also it’s where we’re based.From your starting point in the City of Big Shoulders, you’ll depart on a trip that’ll take you to 17 different countries and five different continents across the globe. Here’s how the cost of plane travel, car rentals, and gas (using a standard gas mil eage of 23.9 mpg) will add up country by country.Leg #1: The United StatesFor the first leg of your journey, you’ll fly from Chicago to San Diego, then rent a car and drive to three locations:Yuma, Arizona, where they filmed the Sarlacc pit scene on Tatooine in Return of the Jedi.Twenty Mule Team Canyon/Death Valley, where they filmed several scenes  on Tatooine for  A New Hope.Redwood National Park, where they filmed the forest scenes on Endor for  Return  of  the Jedi.Then you’ll drive to Sacramento, where the international leg of your journey will begin.Here are the costs for Leg #1:Fly from Chicago to San Diego: $362Rent Car: $116Drive 1,587 miles: $165The total cost of the trip so far? $643Leg #2: GuatemalaNext, you’ll fly from Sacramento to Guatemala City, Guatemala, and rent a car or a landspeeder. You’ll then drive to Tikal, where they filmed the rebel base on Yavin IV in A New Hope. Once you’re finished there, you’ll drive back to Guatemala City.Here are the cos ts for Leg #2:Fly from Sacramento to Guatemala City: $690Rent car: $30Drive 666.11 miles from Guatemala City to Tikal and back: $84The total cost of the trip so far? $1,447Leg #3: BoliviaYoull fly now from Guatemala to La Paz Bolivia, where youll rent a bus (or a really large communal  landspeeder?) and head to Unyuni. Once youre there, youll take a tour of the Salar de Uyuni salt flats, aka the planet Crait in The Last Jedi. Then youll take the bus back to La Paz and head out.Here are the costs for Leg #3:Fly from Guatemala City to La Paz, Bolivia: $867Bus to Uyuni: $20Tour of Salar de Uyuni: $168Bus back to La Paz: $20The total cost of the trip so far? $2,522Leg #4: IcelandNow fly  from Guatemala City to Reykjavik, Iceland. (Be warned, this flight’s an expensive one!). Once you’re in Reykjavik, you’ll rent a car and drive to two locations:Eyjafjallajökull, where they filmed the surface of the Starkiller Base in The Force Awakens.Reynisfjara, where they filmed the scenes on Eadu for Rogue One.Skaftafell, where they filmed the escape scene on Crait for  The Last Jedi.Then you’ll drive back to Reykjavik.Here are the costs for Leg #4:Fly from La Paz to Reykjavik: $1,225Rent car: $46Drive 409.48 miles: $123The total cost of the trip so far? $3,916Leg #5: IrelandThe next part of the journey will take you  from Reykjavik to the city of Cork in Ireland. There, you’ll rent a car and drive to the Portmagee Marina where you’ll catch a ferry over to Skellig Michael, where they filmed Luke’s island hideout on Ahch-To for The Force Awakens and  The Last Jedi. Then you’ll catch the ferry back to Cork and drive over to  Brow Head in County Cork, where they also filmed some Ahch-To scenes. Once youre done there, youll head back to to the airport in Cork City.Here are the costs for Leg #5:Fly from Reykjavik to Cork: $492Rent a car: $20Ferry tour to Skellig Michael: $42Drive 277.53 miles: $72The total cost of the trip so far? $4,542Leg #6: United KingdomFor t his leg, you’ll fly from Cork to London Stansted Airport, then you’ll rent a car and drive to a whopping eight locations:Canary Wharf, London, where they filmed the Imperial complex on Scarif in Rogue One.Whippendell Woods, Cassiobury Park, Watford, where they filmed scenes on Naboo for The Phantom Menace.Bovingdon Airfield, Hertfordshire, where they filmed the battles scenes on Scarif for Rogue One.RAF Greenham Common, Berkshire, where they filmed the scenes for the Resistance Base on DQar in The Force Awakens.Fawley Power Station, where they filmed scenes for  Solo.Puzzlewood, Forest of Dean, where they filmed the forest scenes on Takodana in The Force Awakens.RAF Cardington, Bedfordshire, where they filmed they filmed the Rebel Base hangar scenes on Yavin IV for A New Hope and Rogue One.Thirlmere, Cumbria, where they filmed the scenes of the X-Wings flying low over Takodana in The Force Awakens.Derwentwater, Cumbria, where they filmed the scenes outside Maz Kanada’s club on Takodana in The Force Awakens.Then you’ll drive to the Glasgow airport.Here are the costs for Leg #6:Fly from Cork to London Stansted Airport: $187Rent car: $67Drive 898 miles: $230The total cost of the trip so far? $5,027Leg #7: NorwayNext, you’ll fly from Glasgow to Oslo, then rent a car and drive to Hardangerjøkulen Glacier, where they filmed the exterior scenes during the Battle of Hoth in The Empire Strikes Back. Youll take a tour of the glacier and then you’ll drive back to Oslo.Here are the costs for Leg #7:Fly from Glasgow to Oslo: $213Rent car: $74Hardangerjøkulen Glacier tour: $78Drive 342.37 miles: $93The total cost of the trip so far? $5,485Leg #8: SpainFor this leg, you’ll fly from Oslo to Malaga, then rent a car and drive to Plaza de España in Seville, where they filmed the city of Theed on Naboo in Attack of the Clones. Then you’ll drive to the airport in Malaga.Here are the costs for Leg #8:Fly from Oslo to Malaga: $123Rent car: $36Drive 270.92 miles: $ 61The total cost of the trip so far? $5,705Leg #9: SwitzerlandNext, you’ll fly from Malaga to Zurich, then rent a car and drive to Grindelwald (yes, Harry Potter fans, that’s a real place), where they filmed backdrops for Alderaan in Revenge of the Sith. Then you’ll drive back to Zurich.Here are the costs for Leg #9:Fly from Malaga to Zurich: $224Rent car: $122Drive 188.90 miles: $47The total cost of the trip so far? $6,098Leg #10: ItalyNow  fly from Zurich to Milan, then you’ll rent a car and drive to three locations:Villa del Balbianello, where they filmed Padme and Anakin’s wedding scene in Attack of the Clones.Monte Piana, where they filmed scenes for  Solo.Tre Cime, where they filmed scenes for  Solo.Palace of Caserta, where they filmed scenes in the Naboo Royal Palace for The Phantom Menace and Attack of the Clones.Mount Etna, where the filmed footage of a live volcanic eruption that they used for scenes on Mustafar in The Revenge of the Sith.Then you’ll drive to t he airport in Palermo.Here are the costs for Leg #10:Fly from Zurich to Milan: $264Rent car: $67Drive 1,416.73 miles:: $399The total cost of the trip so far? $6,828Leg #11: CroatiaYoull fly into the city of Dubrovnik,  which stood in for Canto Bight for  The Last Jedi.  Youll rent a car head on over to  Large Onofrios Fountain, where the Canto Bight exteriors were shot. Then youll go back to the airport and fly to the  Canary Islandsâ€"specifically, youll fly to the island of Fuerteventura.Here are the costs for Leg #11:Fly from Milan to Dubrovnik: $413Rent car: $28Drive  26.4  miles to Large Onofrios Fountain and back: $6The total cost of the trip so far? $7,275Leg #12:  FuerteventuraYoull fly into  Fuerteventura Airport then rent a car and drive to two nearby spots where they filmed scenes for  Solo:  La Pared and  Cofete. Once youve crossed those sights off your list, youll head back to the airport and continue onto Tunisia.  (Warning, youre going to be in Tunisia for a while, so maybe grab a snack or something before you head out.)Here are the costs for Leg #12:Fly from Dubrovnik toFuerteventura Airport: $366Rent car: $43Drive 132.35  miles: $30The total cost of the trip so far? $7,714Leg #13: TunisiaNow fly from  Fuerteventura (through an asteroid field) to Tunis, then rent a car and drive to eight (eight!) locations, where they filmed scenes for Tatooine for A New Hope, The Phantom Menace, and Attack of the Clones:Onk Jemal, Tozeur, where they filmed scenes in Mos Espa and the lightsaber duel between Qui-Gon Jinn and Darth Maul in The Phantom Menace.Sidi Bouhlel, near Tozeur, where they filmed scenes on the Lars Homestead for A New Hope.Chott el Djerid, near Nefta, where they filmed C-3PO and R2-D2’s arrival on Tatooine in A New Hope.Matmata, where they filmed scenes on the Lars homestead for A New Hope and Attack of the Clones.Ksar Hadada, Ghoumrassen, where they filmed some of the Mos Espa slave quarters scenes in The Phantom Menace.Ksar Ouled Soltan e, where they filmed some of the other Mos Espa slave quarters scenes for The Phantom Menace.Ajim, Island of Djerba, where they filmed scenes for Obi-Wan Kenobi’s house and Mos Eisley for A New Hope.Sidi Jemour, Island of Djerba, where they filmed several scenes for The Phantom Menace and A New Hope.Then you’ll drive to back to Tunis.Here are the costs for Leg #12:Fly from  Fuerteventura to Tunis: $446Rent car: $103Drive 1,008 miles: $104The total cost of the trip so far? $8,367Leg #14: JordanNow  find a scruffy smuggler to fly you from Tunis to Queen Alia International Airport, then rent a car and drive to Wadi Rum, where they filmed scenes set on Jedha for Rogue One.  Then you’ll drive to back to Queen Alia International Airport.Here are the costs for Leg #13:Fly from Tunis to Queen Alia International Airport: $408Rent car: $30Drive 585 km: $58The total cost of the trip so far? $8,863Leg #15: United Arab EmiratesThe next leg of your trip will take  you from Jordan to Abu Dh abi, then rent a car and drive to Rub al Khali where they filmed the desert scenes on Jakku for The Force Awakens. Then you’ll drive back to the Abu Dhabi airport.Here are the costs for Leg #14:Fly from Queen Alia International Airport to Abu Dhabi: $329Rent car: $40Drive 234.26 miles: $19The total cost of the trip so far? $9,251Leg #16: The MaldivesFor this leg, you’ll fly from Abu Dhabi to Male International Airport in The Maldives. You’ll then take a domestic flight to The Laamu Atoll where they filmed scenes on Scarif for Rogue One.  Then you’ll take a flight back Male International Airport.Here are the costs for Leg #15:Fly from Abu Dhabi to Male International Airport: $545Round trip domestic flight to Laamu Atoll: $390The total cost of the trip so far? $10,186Leg #17: ThailandNow jump on a  speeder and  fly from The Maldives to Phuket, then take a boat tour of, Phang Nga Bay where they filmed backdrops for Kashyyyk in The Revenge of the Sith. Then you’ll head back t o the airport.Here are the costs for Leg #16:Fly from Male Internation Airport to Phuket: $374Boat tour of Phang Nga Bay: $58The total cost of the trip so far? $10,618Leg #18: ChinaNext hit the hyperdrive and  soar from Phuket to Gullin, then rent a car and driver and go to Elephant Trunk Hill, where they filmed where they filmed backdrops for Kashyyyk in The Revenge of the Sith. Then you and your driver will return to GuilinHere are the costs for Leg #17:Fly from Phuket to Guilin: $285Rent car with driver: $138The total cost of the trip so far? $11,041Leg #19: Return to ChicagoThat’s it! You’ve visited all the Star Wars filming locations! The only thing left to do is fly back to where you started:Chicago, where they have filmed many movies, including Transformers 3: Dark of The Moon and Man of Steel, as well as a number of films that weren’t terrible. No Star Wars, though.Here are the costs for Leg #18Flight from Guilin, China, to Chicago: $1,479Total CostsNow that youre back home again, lets see how your costs have added upHere are the costs for Legs #1-19Flights: $9,682Cars and Gas: $2,452Other: $386The total cost of your trip? $12,520Want to Read More?Ever wondered how much the Death Star would cost. So did we. As it turns out, the answer is a lot.For fans of the original trilogy who actually saw them in theatres back when they were first released, you might enjoy our Stranger Things infographic where we look at how the cost of living has changed between 1983 and now!If you want to save for this trip, youll have to above and beyond. Check out  our post on The ABCs of Saving to learn more tips and strategies for tucking extra money away.Can you figure out an even cheaper way to see all these locations mentioned in this post? Wed love to hear from you!  You can  email us  or you can find us on  Facebook  and  Twitter.Sources:http://www.calculator.net/fuel-cost-calculator.htmlhttp://gasprices.aaa.com/http://kayak.comhttps://en.wikipedia.org/wiki/List_of _Star_Wars_filming_locationshttps://www.rita.dot.gov/bts/sites/rita.dot.gov.bts/files/publications/national_transportation_statistics/html/table_04_23.htmlhttps://www.expedia.com/lp/flights/smf/gua/sacramento-to-guatemala-cityhttps://www.expatistan.com/https://www.expedia.com/lp/flights/gua/kef/guatemala-city-to-reykjavikhttp://www.skelligmichaelcruises.com/booking-skellig-island-tours/https://www.farecompare.com/flights/Cork-ORK/London-LON/market.html#quote?quoteKey=CORKCLON20171226R20180102P1CTFhttps://www.expedia.com/lp/flights/gla/osl/glasgow-to-oslohttps://www.farecompare.com/flights/Oslo-OSL/Malaga-AGP/market.html#quote?quoteKey=COSLCAGP20171226R20180102P1CTFhttps://www.expedia.com/lp/flights/agp/zrh/malaga-to-zurichhttp://www.sixsenses.com/resorts/laamu/destination/how-to-get-therehttp://english.ctrip.com/flights/guilin-to-chicago/airfares-kwl-chi/https://www.tour-beijing.com/guilin_airport_transfer_and_guilin_train_station_transfer/

Theme Of A Fire By Jack Londons - 911 Words

Death is battle everyone fights, and without the right attitude we would not survive. In ‘To Build a Fire’ written by Jack Londons is a cautionary tale about a man with the lack of survival skills. The main character is introduced a in cold environment with no knowledge on how to survive in general. The short story embark on a journey with the idea of represents about the way we think in a dire situation. The opening scene establishes our main character’s inability or lack of care towards his own survival. ‘To Build a Fire’ begins with our main character, a man, hiking the Yukon trail on a bitter cold day. He had no supplies and did not care. â€Å"It was a clear day, and yet there seemed an intangible pall over the face of things, a subtle gloom that made the day dark, and that was due to the absence of sun. This fact did not worry the man.† The last sentence shows his state of mind and the reader what they will get into. ‘This fact†¦Ã¢â‚¬â„¢ the last sentence of the quote begins this way to establish its’ dry and dark humor. â€Å"But all this—the mysterious, far-reaching hair-line trail, the absence of sun from the sky, the tremendous cold, and the strangeness and weirdness of it all—made no impression on the man. It was not because he was long used to it.† The ‘absence’ of the sun is gone, leaving a dar k dreary sky with a foreboding mood attached. Describing the cold as ‘tremendous’ and foreign to the man is a nod to the reader to how this character sees the environment. It seemed as theShow MoreRelatedThe Theme Of A Fire By Jack London794 Words   |  4 Pages The theme â€Å"To Build a Fire† by Jack London, is about pride, which is shown by survival in the wilderness, taking advice, and inevitably death. 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Isolated by an environment of frigid weather and doom, the author shows us how the main character of the story is completely unaware of his surroundingsRead MoreMajor Theme in to Build a Fire by Jack London1360 Words   |  6 PagesMajor Themes Determinism The movement of naturalism was greatly influenced by the 19th-century ideas of Social Darwinism, which was in turn influenced by Charles Darwins theories on evolution. Social Darwinism applied to the human environment the evolutionary concept that natural environments alter an organisms biological makeup over time through natural selection. Social Darwinists and naturalists cited this as proof that organisms, including humans, do not have free will, but are shaped, orRead More The Existential Theme of London’s To Build A Fire Essay1311 Words   |  6 PagesThe Existential Theme of London’s â€Å"To Build A Fire  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚     Ã‚  Ã‚   Jack London’s short story, â€Å"To Build a Fire,† is the tragic tale of a man who decides to travel alone through the hostile environment of the Yukon in sub-freeing temperatures and falls victim to the unrelenting and unforgiving power of nature. During his journey, the man gets his feet wet as he falls through the ice into the water of a hot spring (London 122). Because of the severity of the cold, some â€Å"one hundred and seven degreesRead MoreJack London : An Oyster Pirate1204 Words   |  5 PagesJack London was born in 1876, and died in 1916. He was born in San Francisco, California, and was the son of Flora Wellman Chaney. When he was a child, he would sometimes living with the Prentisses. Mr. and Mrs. Prentisses were African Americans who served as London’s surrogate parents. When Jack turned 15, he sailed the San Francisco Bay as an oyster pirate. During his time on the water, London developed an alcohol problem, which would eventually become alcoholism. In 1894, London was arrested asRead More Jack Londons To Build a Fire Essay example1103 Words   |  5 PagesJack Londons To Build a Fire In his short story entitled To Build a Fire, Jack London portrays a bitter conflict between man and nature. The nature in this story is the harsh environment of the Yukon Trail. London chose to use nature as the antagonist, almost as a force working against the main character in his struggle for survival. London accomplished this personification of nature by giving the environment many human characteristics, by creating numerous thingsRead MoreLife Requires Imagination Essay1289 Words   |  6 Pagestheir deaths, however some end up passing on and are not able to turn their lives around. However, in the short story To Build a Fire by Jack London the man in the story does not survive his dance with death. In the story, the man, whom never gets a name, embarks on a very cold, very long journey to a mining camp. On his journey, he has to stop several times and build a fire in order to keep himself warm and keep himself going throughout his journey to the camp. He has a dog lead him, and then he mustRead MoreJack London Essay1251 Words   |  6 PagesJack London, an American author known for his thrilling adventure stories, showed the world that even an exciting story that takes place in exotic settings can include all the intricacies of great literature. This is seen in many of his stories with the implementation of symbolism, many times a recurring theme in his work. Also, London used many ideas of the day such as Darwinism and Spencerism in his writings in order to better portray his views. However, perhaps one of the most telling signs thatRead MoreConflict In Jack Londons To Build A Fire1143 Words   |  5 Pagesto beat them. In Jack London’s short story called â€Å"To Build a Fire,† the main character conflicts with mother nature, who keeps tearing him down at every possible point. The main character, who is only referred to as the Man, is battling his way alone through the harsh temperatures of the Yukon. On this journey he runs into many obstacles and challenges. The Man does not listen to the advice he is given, leading to his inevitable death at the end. The most notable theme London builds up and controlsRead MoreEssay on Comparing the Two Versions of To Build a Fire1096 Words   |  5 Pages Comparing the Two Versions of To Build a Fire nbsp; I am absolutely confident that beyond the motif itself, there is no similarity of treatment whatever (544). Jack London, writing in December 1908, was responding to an inquiry from the Richard W. Gilder, editor of Century Magazine. Gilder, having just published To Build a Fire in his magazine, was worried when he came across another version published 6 years earlier. Londons explanation was that the first story was for boys and the

Theme Of Nature In To Kill A Mockingbird - 1394 Words

Often times, nature and the organic things of life come together to form a representation or symbolic message to life. As shown in To Kill a Mockingbird, nature and various aspects of humanity are associated in the form of a mockingbird. As it relates to the novel, A mockingbird represents a commonality of an understood sin. To Kill a Mockingbird by Harper Lee is well known, classic novel originally published in 1960. Though the novel was written in a different time span, its plot vividly details and expresses the events, emotions, and issues during the 1930s. Lee isolated her novel’s setting to a small, Southern town, which serves as a microcosm to the issues, occurring then and still today, throughout the entire nation. Lee develops the†¦show more content†¦These practices were particularly shown in the trial of Emmett Till. This case was strikingly similar to that of Tom Robinson’s in To Kill a Mockingbird. In 1955, two white men were charged with the murder of Till. Throughout the case the defendants claimed that till’s body could not be proven to be his and that they were set up for the crime. Although these claims would not be typically favorable, the all white and all male jury exonerated the two white men from their charges. The political, civic, and judicial aspect of the 1900s showed to be of great importance to Lee and her writing. Being that Lee’s father was a lawyer and shared his experience representing people of color during prejudice times, many suspect that Lee based the role of Atticus on her father. Additionally, many believe that Scout is a representation of Harper Lee’s outlook of her father’s position during her youth. Each of these historical accounts have definitely impacted Harper Lee’s works. Essentially, Lee To Kill a Mockingbird by Harper Lee takes place in Maycomb, Alabama during the Great Depression era. Many families during this time are suffering from having little income, but the Finch’s happen to be of the few prominent families. Scout lives with her widowed father, Atticus, and her brother, Jem. Atticus is a town lawyer who prizes his moral standards. The story is told from the point of view of Scout who allows the reader to follow her life as social issues, including racism, come inShow MoreRelatedKill A Mockingbird By Harper Lee1577 Words   |  7 Pages To Kill a Mockingbird: To Kill a Mockingbird revolves around the time period of the 1930’s in the Southern part of the United States. The protagonist of this story is Scout, a tomboy, who narrates the story from her perspective when she is older. (She was part of this story herself from ages 6-9). The first many chapters of the book is about Scout’s life in school, and how she grows up in her neighborhood streets. She spends her days with her father, Atticus Finch. The main topic and climax ofRead MoreRacism And Critical Disposition Of Kill A Mockingbird By Harper Lee1415 Words   |  6 PagesHarper Lee’s To Kill a Mockingbird. It was applied throughout the novel and was increasingly used to judge others in Maycomb’s society. Racism was revealed through the novel to characters Jem, Scout, and Dill who were young children that were learning about the good and evil in the small town they lived in. Racism was a constant and significant topic. There were many aspects that contri buted to racism and proved that justice would not always prevail. In Harper Lee’s To Kill a Mockingbird, the settingRead MoreHuckleberry Finn : An Enduring Timeless Classic1713 Words   |  7 PagesTo Kill a Mockingbird - An Enduring Timeless Classic From Star Wars to the Adventures of Huckleberry Finn timeless classics exist in multiple contrasting formats and outlines. They all come in with their own unique stories and differences that make each one a must read. However, there are many things that make one timeless classic similar to another. Two important criteria that make a timeless classic include the kind of experiences it presents and the well-rounded symbols it uses to enhance theRead MoreTo Kill a Mockingbird1286 Words   |  6 PagesTo Kill A Mockingbird Essay Reading broadens our minds and touches our hearts. It creates greater understanding and compassion in the reader through its characters and themes. Write an essay that addresses the ideas expressed in this statement with reference to your class novel. â€Å"You never really understand a person, until you climb into his skin and walk around in it.† With over 30 million copies sold worldwide and claiming title to the prestigious Pulitzer Prize, â€Å"To Kill a Mockingbird† isRead MoreSummary Of Kill A Mockingbird By Harper Lee1259 Words   |  6 PagesLicked From the Beginning To Kill a Mockingbird, follows the story of a curious young girl named Scout, with a tomboyish nature. 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The story is told in the eyes of ScoutRead MoreTheme Of To Kill A Mockingbird1699 Words   |  7 PagesPureness of Mockingbirds In 1960, Harper Lee published one of the most controversial books of our time. To kill a mockingbird contains three debatable themes; racism, good and evil, and morals. Harper Lee uses three children and rape trial to portray these topics. These themes are present throughout the story of a small Alabama town divided over a rape trial including an African American man and a young white girl. Lee’s novel is still disputed over to this day. One of the book’s central themes is theRead MoreTo Kill a Mockingbird Motiff Essay779 Words   |  4 Pagesnever know before. The motif of innocence and experience occurs many times in Harper Lee’s â€Å"To Kill a Mockingbird†. The process of this growth is especially obvious in Jem and Scout’s journey through out the book. The first part of to â€Å"kill a mockingbirdâ€Å", while experience is there, innocence is the primary theme. Both Jem and scout are just beginning to experience things. In â€Å"To Kill a Mockingbirdâ€Å", by Harper Lee, there are many great examples of Jem or Scout moving from innocence to experienceRead MoreHarper Lee Was Born In 1926 In Monroe, Alabama, A Village1071 Words   |  5 PagesCentury music, politics, travelling and spending time with herself. To Kill a Mockingbird is the finest piece of work written by Harper Lee. This book is a a very fine novel with the liveliest sense of life and the most authentic humour. There is humour as well as tragedy in this book, besides its faint note of hope for human nature, and it is delightfully written. A lawyer s advice to his children as he defends the real mockingbird of Harper Lee s class novel. A black man charged wit rape of a whiteRead MoreEssay on Human Nature In To Kill a Mockingbird, by Harper Lee1556 Words   |  7 PagesThe cruel nature and intentions of people can either hurt or harm individuals or it can bring about resilience and determination. In the novel To Kill a Mockingbird, Harper Lee revealed that humans often have other motives in life; some are born to be evil in nature, some are naturally innocent and then there are some that are born to protect the innocent. Lee utilized a variety of symbols and themes that correlated with each other and thus had the ability to create questions in the minds of the

My Education Free Essays

Education should be skill based rather than knowledge based Good morning, today l, Sparks Gar, am going to speak for the topic ‘Education should be skill based rather than knowledge based’. As school ends and commencement addresses are given, two pieces of data caught my eye recently. Only 56 percent of law school graduates are getting Jobs proportionate with their education. We will write a custom essay sample on My Education or any similar topic only for you Order Now And there are 3 million Jobs currently unfilled in the U. S. So what explains the disconnection between a large number of highly educated workers unable to find bobs and the millions of openings out there right now? The answer is skills. Or more precisely, having the specialized skills that fit with the Jobs, employers need to fill. The challenge is to get the people who need work to acquire the skills that employers are seeking. It is true that our young generation needs to be skilled in order to get employment. It is very much important to get skills and only then we can think of our bright future. In a class all the students may not be excellent in their studies but here are other projects in which the weaker students can come up. In our society it is not only knowledge that matters but if you have the skill to do something you can guarantee work. Nowadays we usually face problems that a person is knowledgeable but not skilled enough to do a particular Job. The majority of Jobs are in the skilled trades, yet it wouldn’t be hard to build programs around the needs of information technology companies, tech start-ups and manufacturing firms. We’ve all heard Tories of successful people who found their true passion and talent from the help of a teacher who had taken notice when nobody else had. We need to create a system and culture of education in which such self-discovery doesn’t Just happen serendipitously but rather is the core focus of education. This can only come from an early exposure to a rich and diverse set of study, including art, music, science, math, design, writing and more. In 2010, Barack Obama made this a major focus, and from hat came skills for America’s Future, which brought employers and community colleges together to design curriculum around skills for specific types of Jobs. Of course people’s decision changes with time and some of us make a conscious decision to ignore our natural born attributes to pursue a different path in life. That is what makes us human. But with this approach, students will get a around exposure to ideas and critical thinking to marketable skills and training that we can rely on. My Essays By supercharges How to cite My Education, Papers

Mathematics Portfolio Sl Essay Example

Mathematics Portfolio Sl Essay Mathematics Standard Level Teacher: Mr. Lazaro Name: Fatema Ismailjee IB 1 2011 Sequence is a set of things (usually numbers) that are in order. e. g. 1, 2, 3, 4, Where 1 is the first term, 2 is the second term and so on. ( in the end means that the sequence goes on forever. Three dots in the middle e. g. 1, 2, 3 7, 8 indicate that the pattern continues until the next number appears. There is finite and infinite sequence, infinite sequence is when the sequence has no end and finite is a set with a function e. g. {1, 3, n} Calculating specific terms leads to an nth  term formula. Before creating a rule of calculation, you need to realize that sequences are functions with the specific domain of the counting numbers {1, 2, 3, 4, 5, }. So the n replaces x  as the input variable and instead of writing  y, we use  an  as the output variable.Arithmetic sequence: the difference between one term and the next is a constant in arithmetic sequence. The general formula is an  = a1à ‚  + (n 1) d Geometric sequence: A geometric sequence is a group of numbers where each term after the first is found by multiplying the previous one by a fixed non zero number called common ratio. The general formula is an = a1 ? rn-1 Series is the sum of terms of a sequence. Sn = x1 + x2 +. xn Arithmetic series: The general formula is Sn  = n/2(a1  + an) Geometric series: a series which has a constant ratio between terms.The general formula is Sn = a1 (1 – rn) 1 r TRIANGULAR NUMBERS Triangular number is the number of dots in an equilateral triangle uniformly filled with dots. This is an investigation task whereby I will try to find number of shapes of geometric figures which form triangular numbers. I will use different sources of information to attain shapes and figures. For the calculations required, different math techniques will be used for the different shape obtained. Aim In this task I will consider geometric shapes which lead to special numbers.The simplest exa mples of these are square numbers, 1, 4, 9, 16, which can be represented by squares of side 1, 2, 3 and 4. The following diagrams show a triangular pattern of evenly spaced dots. The numbers of dots in each diagram are examples of triangular numbers (1, 3, 6, ). .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 3 6 10 15 There is a sequence of the number of dots in the triangular shape above.Complete the triangular sequence with three more terms. . . . . . . . . . . . . . . . . . . . . . 21 dots . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 dots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 dots Find a general statement that represents the nth triangular number in terms of n. In words: The top row has one dot and each successive row under it has one more dot.Using the formula: 1. Find the common difference between the numbers in the sequence. 2. Use the general formula tn = an2 + bn + c. 3. Three equations will be forme d. Using the elimination method find the coefficients i. e. a, b and c. 4. Substitute in the general formula. The general statement can be reached by following the steps above. Common difference: d= U2 – U1 = U3 – U2 1, 3, 6, 10, 15, d= 3-1 = 2 6-3 = 3 10-6 = 4 15-10 = 5 d= 3-2 = 1 4-3 = 1 5-4 = 1 The difference in terms is found in the second stage so the formula will be n2 . 2 Testing: n = 1 , triangular number = 1 22 = 12 1 12 = 12 n = 2, triangular number = 3 n22 = 92 3 92 = 32 32 12 = 12 12 so this will be 12 n therefore, 2 12 n2 = 12n As the common difference in the second stage is 1, it can be deduced that the formula for the nth term is a quadratic equation. I will use the general formula to find the nth term, tn = an2 + bn + c where a and b are the coefficients and c is constant and n is the number of term. 2 n2 = 12 n = n2 + n 2 When n = 1 1 = a (1)2 + b (1) + c 1 = a + b + c . (i) n = 2 3 = a (2)2 + b (2) + c 3 = 4a + 2b + c . (ii) n = 3 6 = a (3)2 + b (3 ) + c 6 = 9a + 3b + c . (iii) Using the elimination method: 3 = 4a + 2b + c 6 = 9a + 3b + c 1 = a + b + c 3 = 4a + 2b + c 2 = 3a + b 3 = 5a + b Now that two equations are obtained: To find the variables i. e. a, b one of them is eliminated.In this case the equations are being subtracted. b will be eliminated first in order to find a. Substitute the values of a in the equation to find the value of b. 3 = 5a + b 3 = 5a + b 1 = a + b + c 2 = 3a + b 3 = 5(1 ) + b 1 = 1 + 1 +c 2 2 2 1 = 2a 3 5 = b 2 2 2 a = 1 b = 1 c = 0 2 Therefore the formula for finding the nth term will be as follows: tn = 1n2 + 1n 2 2 tn = n2 + n 2 Use of technology to find the general statement: Calculator used: CASIO fx-9750 GA PLUS n| 1| 2| 3| 4| 5| 6| 7| y| 1| 3| 6| 10| 15| 21| 28| Let n = x 1. Select STAT. 2. Encode values for x in list 1 and for y in list 2. 3. Select GRPH (by pressing F1). 4. Select GPH1 (by pressing F1 again). 5. Select x^2 (by pressing F3). The display will show: a = 1 2 b = 1 c = 0 y = ax 2 + bx + c 1n2 + 1n y = 2 2 = n2 + n 2 Consider stellar (star) shapes with p vertices, leading to p-stellar numbers. The first four representations for a star with six vertices are shown in the four stages S1 – S4 below. The 6-stellar number at each stage is the total number of dots in the diagram. Find the number of dots (i. e. the stellar number) in each stage up to S6. Stellar numbers are figurate number, based on the number of dots of units that can fit in a centred hexagon or star shapes. S1 – S4 are the numbers of dots in the stars.To find up to S6 find the common difference (d) followed by the addition of numbers of star in the previous star. S1 has 1 dot S2 has 13 dots S3 has 37 dots S4 has 73 dots Find the common difference between the terms. d = S2 – S1 S3 – S2 d = 13 – 1 = 12 37 – 13 = 24 73 – 37 = 36 As the difference is not constant, find the difference within the answers. d = 36 – 24 = 12 13 – 12 = 12 The c ommon difference is 12. S 5 = 36 + 12 = 48 73 + 48 = 121dots S6 = 48 + 12 = 60 121 + 60 = 181dots Find an expression for the 6-stellar number at stage S7. As shown above, the common difference is 12.As it’s a sequence it follows the same trend therefore: To find the next number of dots in the sequence, add it with 12 first and from the second star add it with the multiples of 12, i. e. 24, 36, 48 etc. S6 = 48 + 12 = 60 = S5 + 60 = 121 + 60 = 181 S7 = 60 + 12 = 72 = S6 + 72 = 181 + 72 = 253 S7 = 253 Find a general statement for the 6-stellar number at stage Sn in terms of n. Use the same general formula to obtain the three equations: The general formula: tn = an2 + bn + c When n = 1 1 = a (1)2 + b (1) + c 1 = a + b + c . (i) n = 2 13 = a (2)2 + b (2) + c 13 = 4a + 2b + c . (ii) = 3 37 = a (3)2 + b (3) + c 37 = 9a + 3b + c . (iii) Using the elimination method: 37 = 9a + 3b + c 13 = 4a + 2b + c 13 = 4a + 2b + c 1 = a + b + c 24 = 5a + b 12 = 3a + b After attaining two equations, either of the coefficients should be eliminated. b in this case which will lead us to find a. Substitute value of a in the equation to find b. Hence, substitute values of a and b for c. 24 = 5a + b 24 = 5a + b 1 = a + b + c 2 = 3a + b 24 = 5(6) + b 1 = 6 + (-6) + c 12= 2a 24 – 30 = b 1 – 0 = c 2 2 a = 6 b = -6 c = 1 Substitute a, b and c in the general statement. General statement: tn = 6n2 – 6n + 1 Now repeat the steps above for other values of p Considering stellar (star) shapes when p=7 and when p=8 leading to p-stellar numbers. p = 7 Find the number of dots (i. e. the stellar number) in each stage up to S6. S1 has 1 dot S2 has 15 dots S3 has 43 dots S4 has 85 dots d = 15 – 1 = 14 3 – 15 = 28 85 – 43 = 42 d = 42 – 28 = 14 28 – 14 = 14 e. g. S4 = 43 + 14 = 42 S3 + 42 43 + 42 = 85 dots S 5 = 42 +14 =56 S4 + 56 85 + 56 = 141dots S6 = 56 +14 = 70 S5 + 70 141 + 70 = 211dots Find an expression for the 6-stellar number at stage S7 . As shown above, the common difference is 14. As it’s a sequence it follows the same trend therefore: To find the next number of dots in the sequence, add it with 2 first and from the second star add it with the multiples of 2, i. e. 14, 28, 42 etc. S7 = 70 + 14 = 84 S6 + 84 211 + 84 = 2955dots S7 = 295dots Find a general statement for the 6-stellar number at stage Sn in terms of n.To find the three equations, use the general formula tn = an2 + bn + c. When n = 1 1 = a (1)2 + b (1) + c 1 = a + b + c . (i) n = 2 15 = a (2)2 + b (2) + c 15 = 4a + 2b + c . (ii) n = 3 43 = a (3)2 + b (3) + c 43 = 9a + 3b + c . (iii) Three equations are obtained, to find a, b and c, the equations need to be solved. Elimination method is one of the ways from which we can attain the coefficients and constant. Using elimination method: Firstly, we need to remain with two equations at the end so subtract equations (equation iii – ii and equation ii – i) and two will be remained. 3 = 9a + 3b + c 15 = 4a + 2b + c 15 = 4a + 2b + c 1 = a + b + c 28 = 5a + b 14 = 3a + b Now that there are two equations, find a and b. Subtract the equation to eliminate one variable. After one is found, the other can be easily found by substituting the value of variable attained in the equation. 28 = 5a + b 28 = 5a + b 1 = a + b + c 14 = 3a + b 28 = 5(7) + b 1 = 7 + (-7) + c 4= 2a 28 – 35 = b 1 – 0 = c 2 2 a = 7 b = -7 c = 1 Substitute a, b and c in the general statement. General statement: tn = 7n2 – 7n + 1 p = 8 S1 has 1 dot S2 has 17 dots S3 has 49 dots S4 has 97 dots Find the common difference: d = 17 – 1 = 16 49 – 17 = 32 97 – 49 = 48 As the difference is not constant, subtract the answers to find the common difference. d = 32 – 16 = 16 48 – 32 = 16 To find the following number in the star e. g. S4 = 32 + 16 = 48 S3 + 48 49 + 48 = 97 dots The common difference is 16.If observed carefully the number is found by adding it with mu ltiples of 16 i. e. 32, 48, 64, 80 etc. S 5 = 48 +16 = 64 S4 + 64 97 + 64 = 161dots S6 = 64 + 16 = 80 S5 + 80 161 + 80 = 241dots Find an expression for the 6-stellar number at stage S7. As shown above, the common difference is 16. As it’s a sequence it follows the same trend therefore: To find the next number of dots in the sequence, add it with 16 first and from the second star add it with the multiples of 3, i. e. 32, 48, 64 etc. S7 = 80 + 16 = 96 S6 + 96 241 + 96 = 337dots S7 = 337dots Find a general statement for the 6-stellar number at stage Sn in terms of n.I will use the same general formula to obtain the three equations: The general formula: tn = an2 + bn + c When n = 1 1 = a (1)2 + b (1) + c 1 = a + b + c . (i) n = 2 17 = a (2)2 + b (2) + c 17 = 4a + 2b + c . (ii) n = 3 49 = a (3)2 + b (3) + c 49 = 9a + 3b + c . (iii) Using the elimination method: 49 = 9a + 3b + c 17 = 4a + 2b + c 17 = 4a + 2b + c 1 = a + b + c 32 = 5a + b 16 = 3a + bNow there are two equations, so b has to eliminated by subtracting the two equations to find a. Once, a is obtained one of the equation has to be chosen and substitute the value of a in it. Hence b is obtained. 32 = 5a + b 32 = 5a + b 1 = a + b + c 16 = 3a + b 32 = 5(8) + b 1 = 3 + (-3) + c 16 = 2a 32 – 40 = b 2 2 a = 8 b = -8 c = 1 Substitute a, b and c in the general statement. General statement: tn = 8n2 – 8n + 1Hence, produce the general statement, in terms of p and n,that generates the sequence of p-stellar numbers for any value of p at stage Sn. The general statements produced are: tn = 6n2 – 6n + 1 tn = 7n2 – 7n + 1 tn = 8n2 – 8n + 1 I observed it, and reached to the conclusion that for all the three statements the number of p and number of coefficient that is a and b is the same. Therefore the general statement in terms of p and n that generates the sequence of p-stellar numbers for any value of p at stage Sn is: tn = pn2 – pn + 1 Test the validity of the general st atement. When p = 5 S1 has 1 dot S2 has 11 dots S3 has 31 dotsS4 has 61 dots Common difference: d = 11 – 1 = 10 31 – 11 = 20 61 – 31 = 30 As the difference is not constant, subtract it within the answer obtained: d = 30 – 20 = 10 20 – 10 = 10 As seen, the common difference is 5. As it’s a sequence it follows the same trend therefore: To find the next number in the sequence, add it with multiples of 5 i. e. 10, 15, 20, etc. S 5 = 30 + 10 = 40 61 + 40 = 101dots S6 = 40 + 10 = 50 = S5 + 50 = 101 + 50 = 151dots S7 = 50 + 10 = 60 = S6 + 60 = 151 + 60 = 211 S7 = 211dots The general formula: tn = an2 + bn + c When n = 1 1 = a (1)2 + b (1) + c 1 = a + b + c . (i) n = 2 1 = a (2)2 + b (2) + c 11 = 4a + 2b + c . (ii) n = 3 31 = a (3)2 + b (3) + c 31 = 9a + 3b + c . (iii) Using the elimination method: 31 = 9a + 3b + c 11 = 4a + 2b + c 11 = 4a + 2b + c 1 = a + b + c 20 = 5a + b 10 = 3a + b 20 = 5a + b 20 = 5a + b 1 = a + b + c 10 = 3a + b 20 = 5(5) + b 1 = 6 + (-6) + c 10= 2a 20 – 25 = b 1 – 0 = c 2 a = 5 b = -5 c = 1 Substitute a, b and c in the general statement. General statement: tn = 5n2 – 5n + 1 Below are the values of the formula Sn= 5n2 5n +1 n = Stage number in the 5-stellar shape. | y= total number of dots at stage ‘n’. | 1| 1| 2| 11| 3| 31| 4| 61| 5| 101| 6| 151| 7| 211| If we want to know the number of dots in the 5th term using the formula we replace n with 5 based on the formula Sn= 5n2 – 5n + 1 Sn= 5n2 – 5n + 1 Sn= 5 (5)2 – 5 (5) +1 Sn= 101 Limitation: * The value of p should be greater than or equal to 4 i. e. p ? 4. The value of p cannot be negative. It must be a positive integer. The general statement has some limitations as listed above. It is an arithmetic series as seen. It is derived from the equations generated in the 5, 6, 7-stellar shape. The coefficients in each question are equal to the corresponding stellar number p. References: Sequences.   Math Is Fun Maths Resources. Web. 12 Mar. 2011. Help for a Generic Formula for a Stellar Pattern.? Yahoo! Answers.   Yahoo! Answers Home. Web. 12 Mar. 2011. Triangular Number ENotes. com Reference.   ENotes Literature Study Guides, Lesson Plans, and More. Web. 11 Mar. 2011.