Answer
Converges
Work Step by Step
Use the ratio test to test for convergence or divergence
$\Sigma^{\infty}_{n=1} \frac{1}{5^n}$
$\lim\limits_{n \to \infty} \frac{\frac{1}{5^{n+1}}}{\frac{1}{5^n}}= \frac{1}{5}$
$\frac{1}{5} \lt 1$
Series Converges Absolutely
