Determine whether the series converges or diverges

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Determine whether the series

\displaystyle\sum_{n=1}^{\infty} \frac{2^{\,n}}{3^{\,n}+1}

converges or diverges. Provide a brief justification (one sentence).