Answer
$-\frac{4}{3}$
Work Step by Step
1. We can identify the sequence as geometrical with $a_1=-2, r=-\frac{1}{2}$
2. We have $\sum_{i=1}^{\infty}4(-\frac{1}{2})^i=-2\times\frac{1}{1-(-\frac{1}{2})}=-\frac{4}{3}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 11 - Further Topics in Algebra - Summary Exercises on Sequences and Series - Exercises - Page 1038: 21
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