Arithmetic and Geometric Sequences

Arithmetic and Geometric Sequences
A place is a learn 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 numbers are related to each other by a specific rule (Bluman, 2011). In this paper deuce real world applications, one arithmetic and one nonrepresentational sequence forget be figure out. The purpose of this is to compare the distinction between both of them and to show what procedures are gather uped to resolving the problems in order to obtain an answer.
It is said that the arithmetic sequence is a set of numbers in which each come through term differs from the preceding term by the same sum 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 build a CB radio receiver newspaper column. The firm charges $ ascorbic acid for labor for the first 10 feet. after(prenominal) that, the cost of the labor for each succeeding 10 feet is $25 more than the preceding 10 feet. That is, the next 10 feet will 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 $100 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 need to identify the following numbers:
n = the number 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 help 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: Orderessay



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