Find the Fifth Partial Sum S₅ of the Given Series $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { 3 ^ { n } }$

Multiple Choice

Find the fifth partial sum S₅ of the given series. $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { 3 ^ { n } }$

A) $- \frac { 121 } { 243 }$
B) $- \frac { 40 } { 81 }$
C) $- \frac { 61 } { 243 }$
D) $- \frac { 20 } { 81 }$