Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 11 - Section 11.1 - Sequences - 11.1 Exercises - Page 705: 57

Answer

Divergent

Work Step by Step

To graph the sequence, we can plot a list from 1 to infinity as points by letting $x = n $ and $y = a_{n}$. From the graph, we observe that $a_{n}$ is negative when $n$ is odd and positive when $n$ is even. Since the value of $a_{n}$ oscillates between negative and positive values, it implies that the terms aren't approaching a finite value. Therefore, the sequence is divergent.
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