Answer
$S_5=1364$
Work Step by Step
$$4,16,64,256,\dots$$
The first term is $a_1=4$ and common ratio is $r=16:4=4$.
Using sum formula:
$$S_n=\frac{a_1(1-r^n)}{1-r}$$
$$S_5=\frac{4(1-4^5)}{1-4}=\frac{-2046}{-3}=1364$$
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter 7 - Section 7.3 - Geometric Sequences and Series - 7.3 Exercises - Page 654: 22
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