Determine Whether the Series $\sum _ { n = 1 } ^ { \infty } \frac { n } { \sqrt { 3 n + 2 } }$

Short Answer

Determine whether the series $\sum _ { n = 1 } ^ { \infty } \frac { n } { \sqrt { 3 n + 2 } }$ is convergent or divergent. If it is convergent, find the sum.