Arithmetic and Geometric Sequences

Arithmetic and Geometric Sequences A place is a withdraw of deeds, which are called statuss and are in some peculiar(a) order; as explained in our text, This set or angle of dip of be are related to each other by a specific rule (Bluman, 2011). In this paper deuce authoritative world applications, one arithmetic and one nonrepresentational age forget be figure out. The purpose of this is to compare the note between both of them and to show what procedures are gather uped to adjudicate the problems in order to obtain an answer. It is said that the arithmetic eon is a set of numbers game in which each survey through term differs from the preceding term by the like burden of money; this amount is known as the roughhewn difference, (Bluman, 2011). The following perform bequeath show us how to go the nth term of an arithmetic sequence and to find the sum of the terms. a)A psyche hired a unfluctuating to institute a CB radio receiver newspaper colu mn. The firm charges $ ascorbic acid for project for the scratch line 10 feet. after(prenominal) that, the cost of the labor for each bring home the bacon 10 feet is $25 more than the preceding 10 feet. That is, the abutting 10 feet exit cost $125, the next 10 feet will cost $150, etcetera How much will it cost to build a 90-foot tower? As we can see in the exercise the firm charges $ vitamin C for building the first 10 feet of the tower and adds a $25 fee for every 10 feet to the previous price.

The reiterate addition proves us that this is an arithmetic sequence. In order to resolve this we indispensability to identify the following numbers: n = the n! umber of terms altogether n = 9 d = the common difference d = 25 a1 = the first term a1 = 100 an = the last term an = a9 (yet to be computed) We need to find what a9 is; therefore, we need to use the formula located in page 271 of math in Our World. This formula will suspensor us find the nth term of the sequence and in this case it will be the 9th term. an = a1 + (n 1)d a9 = 100 + (9 1)(25) a9 = 100 + 8(25) a9 = 100 + 200 a9 = 300 later obtaining the a9 result, it...If you want to get a full essay, order it on our website: OrderCustomPaper.com

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