Answer
False.
Work Step by Step
$\sum_{i=1}^{2} (-1)^i2^i=((-1)^12^1)+((-1)^22^2)=-2+4=2$, thus it is false.
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.1 - Page 717: 99
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