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

question 18

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) \(a _ { n } = 1 \cdot \left( \frac { 1 } { 7 } \right) ^ { n - 1 }\)

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