Determine Whether the Series $\sum _ { n = 0 } ^ { \infty } \frac { 1 + \sin ^ { 2 } n } { 5 ^ { n } }$

Short Answer

Determine whether the series $\sum _ { n = 0 } ^ { \infty } \frac { 1 + \sin ^ { 2 } n } { 5 ^ { n } }$ converges.