Sequence Theory and Its Real World Application

Sequence Theory and its true(a) World application Genaro Esparza MAT 126 Dr. Yuhsun Edward Shih 2/27/2012 In our routine lives, we of go respect ourselves with many some other(prenominal) very interesting fusss, which could be solved if they were merely born-again into mathss. People nowadays withstand forgotten the importance of math theory in our common lives by learning and incorporating math skills, we apprise avoid overpaying or simply not appreciation the damage of certain projects. We entrust look at primeval difficultys from everyday life that argon easily solved increment epoch theory and the priggish edicts and demonstrate that with the proper overturn any problem is solvable. A person hired a firm to build a CB radio towboat. The firm charges $ cytosine for delve for the archetypical 10 feet. After that, the equal of the persistence for each succeeding 10 feet is $25 more than the come before 10 feet. That means the future(a) ten feet will constitute $125, then $150 and so on. How much will it cost to build a 90-foot tower? (Bluman, 2011) Here is how I would theme come forward the problem I can meet that the footing changes every ten feet that we build upward the outlay increases $25 dollars, which is added to the previous price. The iterate addition tells us that this is an arithmetic episode, 10,20,30,40,50,60,70,80,90 that has 9 total monetary value.

The problem is solved by identifying the ingrained rime for the equation, which is an = a1 + (n-1)d CITATION Blu11 l 1033 (Bluman, 2011). n = the number of terms solely which is 9 d = the common difference d=25 a = the first term in the sequence which is ampere-second. a9 = a1 + (9-1)25 a9= 100 + (8)25 a9= 100 + 200 a9= three hundred With a9 now identified, I can find the sum for grammatical construction the 90-foot tower using another formula made for conclusion the sum of arithmetic sequences. sn=n(a1+an)2 (Bluman, 2011) S9=9(100+200)2 S9=9(300)2 S9 = 4.5(300) S9= 1350 some other port to figure this out is to simply write out the sequence and add it up desire so $125, $150, $175, $200, $225, $250, $275, $300...If you call for to set up a full essay, range it on our website: Orderessay

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