Answer
$a_n=(-1)^{n+1}$
Work Step by Step
If we look at the pattern:
$ 1, -1, 1, -1, ...$
$(-1)^2, (-1)^3, (-1)^4, (-1)^5, ...$
Hence, the nth term in the sequence is:
$a_n=(-1)^{n+1}$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 14 - Sequences, Series, and the Binomial Theorem - 14.1 Sequences and Series - 14.1 Exercise Set - Page 894: 38
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