College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.1 - Page 716: 90

Answer

as n gets larger, $a_{n}$ gets closer and closer to $0$ .
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Work Step by Step

The general term of the sequence is defined as a function of the index n, (a positive integer): $a_{m}=f(n)$ , Graphing utility used: online (free) graphing calculator desmos.com. Desmos has the option of defining element lists. For the wanted n:[0,1000,100] there are 10 terms, indexed $a_{100},a_{200}, ..., a_{1000}$, which is why we define a 10 element list, $i$ = $[1...10]$, and then multiply each index by 100 $(n=100i)$ Graph of the sequence consists of the points $(n,f(n))$ Here, as n gets larger, $a_{n}$ gets closer and closer to $0$.
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