Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 8 - Sequences and Infinite Series - 8.1 An Overview - 8.1 Exercises: 32

Answer

$a_1 = 2$ $a_2 = 17$ $a_3 = 82$ $a_4 = 257$ Diverges. The terms are increasing without a bound as $n$ increases.

Work Step by Step

$a_n = n^4 + 1$ $a_1 = 1^4 + 1 =2$ $a_2 = 2^4 + 1 = 17$ $a_3 = 3^4 + 1 = 82$ $a_4 = 4^4 + 1 =257$ Since the values of the sequence are increasing without a bound, the sequence is diverging.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.