Find the Sum of the Convergent Series $$\sum _ { n = 0 } ^ { \infty } 10 \left( - \frac { 9 } { 10 } \right) ^ { n }$$

Multiple Choice

Find the sum of the convergent series. $$\sum _ { n = 0 } ^ { \infty } 10 \left( - \frac { 9 } { 10 } \right) ^ { n }$$

A) $\frac { 110 } { 17 }$
B) $\frac { 100 } { 19 }$
C) $\frac { 90 } { 19 }$
D) $\frac { 110 } { 19 }$
E) $\frac { 100 } { 17 }$