Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 12 - Section 12.3 - Geometric Sequences - 12.3 Exercises - Page 865: 28

Answer

The first 5 terms are 1, 4, 27, 256, 3125. The sequence is not geometric.

Work Step by Step

$a_{n} = (n)^{n}$ is the formula we are given for the nth term of this sequence. To find the first 5 terms, plug in n =1 ,2, 3... and solve. Since the resulting terms (1,4,27,256,3125) do not have a ratio in common they are not part of a geometric series and therefore cannot be represented by a formula for the nth term of a geometric series.
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.