Answer
$\lim\limits_{n \to \infty} | \frac{a_{n+1}}{a_{n}}| = \frac{1}{2} < 1 $
Thus , the series converges by ratio test .
Work Step by Step
$\lim\limits_{n \to \infty} | \frac{a_{n+1}}{a_{n}}| = \frac{1}{2} < 1 $
Thus , the series converges by ratio test .
Solution is attached below :