Find a General Term an for the Geometric Sequence $$\mathrm { a } _ { 1 } = \frac { 1 } { 3 } , \mathrm { r } = 6$$

Find a general term an for the geometric sequence.
- $$\mathrm { a } _ { 1 } = \frac { 1 } { 3 } , \mathrm { r } = 6$$

A) $a _ { n } = \frac { 1 } { 3 } + \frac { 1 } { 6 } ( n - 1 )$
B) $a _ { n } = \left( \frac { 1 } { 3 } \right) ^ { n - 1 } - \frac { 5 } { 18 }$
C) $a _ { n } = \frac { 1 } { 3 } \cdot 6 ^ { n - 1 }$
D) $a _ { n } = \frac { 1 } { 3 } - \frac { 5 } { 18 } ( n - 1 )$

Correct Answer:

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