Answer
Divergent
Work Step by Step
Given $$ \sum_{k=1}^{\infty} \left(\frac{-3}{2}\right)^{k+1}$$
This is a geometric series with $|r|=\frac{3}{2}>1$ , so $\displaystyle \sum_{k=1}^{\infty} \left(\frac{-3}{2}\right)^{k+1}$ is a divergent series
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 9 - Infinite Series - 9.3 Infinite Series - Exercises Set 9.3 - Page 621: 6
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