Sequence Theory and Its Real World Application

Sequence Theory and its Real World application Genaro Esparza sluggishness 126 Dr. Yuhsun Edward Shih 2/27/2012 In our everyday lives, we often love ourselves with many very interesting problems, which could be solved if they were barely reborn into maths. People at presentadays have forgotten the greatness of math theory in our everyday lives by reading and incorporating math skills, we chiffonier avoid overpaying or simply non sagaciousness the damage of certain projects. We ordain look at cardinal problems from everyday life that are easily solved development sequence theory and the proper edicts and demonstrate that with the proper uprise any problem is solvable. A person chartered a cockeyed to build a CB radio chromatography column. The firm charges $ hundred for delve for the first 10 feet. After that, the fit of the labor for each succeeding 10 feet is $25 more(prenominal) than the predate 10 feet. That means the next ten feet go forth cos t $125, then $150 and so on. How much will it cost to build a 90-foot tower? (Bluman, 2011) Here is how I would field come forward the problem I can see that the footing changes every ten feet that we build upward the price increases $25 dollars, which is summariseed to the previous price. The repeated addition tells us that this is an arithmetic sequence, 10,20,30,40,50,60,70,80,90 that has 9 total terms.

The problem is solved by identifying the essential rime for the equation, which is an = a1 + (n-1)d CITATION Blu11 \l 1033 (Bluman, 2011). n = the military issue of terms solely which is 9 d = the common end 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= 300 With a9 now identified, I can find the midpoint for building the 90-foot tower using another formula made for finding 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 way to sort this out is to simply write out the sequence and add it up like so $125, $150, $175, $200, $225, $250, $275, $300...If you call for to get a full essay, order it on our website: OrderCustomPaper.com

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