Find the Nth Term of the Geometric Sequence $$3 , - \frac { 3 } { 5 } , \frac { 3 } { 25 } , - \frac { 3 } { 125 } , \frac { 3 } { 625 }$$

Find the nth term of the geometric sequence.
- $$3 , - \frac { 3 } { 5 } , \frac { 3 } { 25 } , - \frac { 3 } { 125 } , \frac { 3 } { 625 }$$

A) $a _ { n } = 3 \cdot \left( - \frac { 1 } { 25 } \right) ^ { n - 1 }$
B) $a _ { n } = 3 \cdot \left( - \frac { 1 } { 5 } \right) ^ { n - 1 }$
C) $a _ { n } = 3 \cdot \left( - \frac { 1 } { 5 } \right) ^ { n }$
D) $a _ { n } = 3 \cdot \left( - \frac { 1 } { 5 } \right) ^ { n + 1 }$

Correct Answer:

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