Find the Sum of the Geometric Series $\sum _ { i = 1 } ^ { 8 } 5 \left( \frac { 1 } { 3 } \right) ^ { \mathrm { i } - 1 }$

Multiple Choice

Find the sum of the geometric series.
- $\sum _ { i = 1 } ^ { 8 } 5 \left( \frac { 1 } { 3 } \right) ^ { \mathrm { i } - 1 }$
Express the answer as a fraction.

A) $\frac { 3280 } { 2187 }$
B) $\frac { 8767 } { 2187 }$
C) $\frac { 16,400 } { 2187 }$
D) $\frac { 7015 } { 2048 }$