Answer
Convergent series.
Work Step by Step
The series $\sum_{n=0}^{\infty} 7^{-n}$ can be written as follows:
$$\sum_{n=0}^{\infty}(\frac{1}{7})^n$$
which is geometric series with $r=1/7 \lt 1$, which converges.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 11 - Infinite Series - 11.4 Absolute and Conditional Convergence - Exercises - Page 563: 17
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