Answer
True
Work Step by Step
The given sequence has common ratio $r=\dfrac{1}{2}$
For an infinite geometric sequence, we have $S_{\infty}=\dfrac{a_1}{1-r}$
which is same as the common ratio of $0.5$
Hence, the given statement is true.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 11 - Section 11.3 - Geometric Sequences and Series - Exercise Set - Page 857: 118
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