Find the Sum of the Infinite Series $\sum _ { j = 1 } ^ { \infty } \left( \frac { 7 } { 10 } \right) ^ { \rangle }$

Multiple Choice

Find the sum of the infinite series. $\sum _ { j = 1 } ^ { \infty } \left( \frac { 7 } { 10 } \right) ^ { \rangle }$

A) $- \frac { 7 } { 3 } j$
B) $\frac { 7 } { 3 }$
C) $- \frac { 7 } { 10 } j$
D) $\frac { 7 } { 10 }$
E) $- \frac { 7 } { 3 }$