Determine the Sum of the Following Infinite Series $\sum _ { n = 1 } ^ { \infty } \frac { 2 ^ { n } + ( - 1 ) ^ { n } } { 3 n }$

Short Answer

Determine the sum of the following infinite series: $\sum _ { n = 1 } ^ { \infty } \frac { 2 ^ { n } + ( - 1 ) ^ { n } } { 3 n }$ Enter just a reduced fraction of form $\frac { a } { b }$ .