College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.3 - Page 742: 93

Answer

See below.

Work Step by Step

Aa finite geometric sequence is finite while the infinite geometric series is infinite. Also, a finite geometric sequence has always a finite sum, while an infinite geometric series only has a finite sum if for the common ratio $r$, $|r|\lt1$.
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