# Chapter 11 - Infinite Series - 11.4 Absolute and Conditional Convergence - Exercises - Page 563: 17

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.

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