Answer
Geometric series.
Work Step by Step
The ratio of the subsequent terms is a constant of $-\frac{1}{2}$, therefore it is geometric.
Also, this is a sum of the elements, which indicates that this is a series.
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 - 14.3 Geometric Sequences and Series - 14.3 Exercise Set - Page 912: 9
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