State an Explicit Rule for the Nth Term of the Recursively-Defined

Multiple Choice

State an explicit rule for the nth term of the recursively-defined sequence.
- $$a _ { n } = \left( \frac { 1 } { 7 } \right) \cdot a _ { n - 1 } ; a _ { 1 } = 1$$

A) $a _ { n } = 1 \cdot \left( \frac { 1 } { 7 } \right) ^ { n }$
B) $a _ { n } = 7 \cdot \left( \frac { 1 } { 1 } \right) ^ { n }$
C) $a _ { n } = 7 \cdot \left( \frac { 1 } { 1 } \right) ^ { n - 1 }$
D) $a _ { n } = 1 \cdot \left( \frac { 1 } { 7 } \right) ^ { n - 1 }$