Find the Sum of the Geometric Series $\sum _ { \mathrm { i } = 1 } ^ { 11 } \frac { 1 } { 5 } ( - 3 ) ^ { \mathrm { i } - 1 } \quad$

Multiple Choice

Find the sum of the geometric series.
- $\sum _ { \mathrm { i } = 1 } ^ { 11 } \frac { 1 } { 5 } ( - 3 ) ^ { \mathrm { i } - 1 } \quad$ Express the answer as a fraction.

A) $\frac { 44,294 } { 5 }$
B) $\frac { 44,281 } { 5 }$
C) 8857
D) $\frac { 44,287 } { 5 }$