Find the Sum of the Infinite Series $\sum _ { i = 1 } ^ { \infty } 2 \left( \frac { 1 } { 10 } \right) ^ { i }$

Multiple Choice

Find the sum of the infinite series. $\sum _ { i = 1 } ^ { \infty } 2 \left( \frac { 1 } { 10 } \right) ^ { i }$

A) $\frac { 2 } { 9 }$
B) $\frac { 9 k } { 2 }$
C) $\frac { 9 } { 2 }$
D) $- \frac { 2 k } { 9 }$
E) $\frac { 2 k } { 9 }$