Find the Indicated Partial Sum of the Series $$\sum _ { i = 1 } ^ { \infty } 5 \left( - \frac { 1 } { 3 } \right) ^ { i }$$

Multiple Choice

Find the indicated partial sum of the series.
$$\sum _ { i = 1 } ^ { \infty } 5 \left( - \frac { 1 } { 3 } \right) ^ { i }$$
fourth partial sum

A) $\frac { 5 } { 81 }$

B) $\frac { 305 } { 81 }$

C) $- \frac { 100 } { 81 }$

D) $\frac { 35 } { 81 }$

E) $- \frac { 205 } { 162 }$