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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.
- an=(17) ⋅an−1;a1=1a _ { n } = \left( \frac { 1 } { 7 } \right) \cdot a _ { n - 1 } ; a _ { 1 } = 1


A) an=1⋅(17) na _ { n } = 1 \cdot \left( \frac { 1 } { 7 } \right) ^ { n }
B) an=7⋅(11) na _ { n } = 7 \cdot \left( \frac { 1 } { 1 } \right) ^ { n }
C) an=7⋅(11) n−1 a _ { n } = 7 \cdot \left( \frac { 1 } { 1 } \right) ^ { n - 1 }
D) an=1⋅(17) n−1a _ { n } = 1 \cdot \left( \frac { 1 } { 7 } \right) ^ { n - 1 }

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