Determine the Sum of the Series $\sum _ { n = 0 } ^ { \infty } \frac { 1 - 2 ^ { n } } { 3 n }$

Multiple Choice

Determine the sum of the series $\sum _ { n = 0 } ^ { \infty } \frac { 1 - 2 ^ { n } } { 3 n }$ .

A) - $\frac { 3 } { 2 }$
B) 3
C) $\frac { 2 } { 3 }$
D) none of these