Use the Formula for the General Term of a Geometric $$\mathbf { a } _ { 1 }$$

question 202

Multiple Choice

Use the Formula for the General Term of a Geometric SequenceUse the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the
sequence with the given first term, $$\mathbf { a } _ { 1 }$$ , and common ratio, r.
- $$4 , - \frac { 4 } { 5 } , \frac { 4 } { 25 } , - \frac { 4 } { 125 } , \frac { 4 } { 625 } , \ldots$$

• A) \(a _ { n } = 4 \left( - \frac { 1 } { 5 } \right) n - 1\)
• B) \(a _ { n } = 4 \left( - \frac { 1 } { 5 } \right) ^ { n }\)
• C) \(a _ { n } = 4 \left( - \frac { 1 } { 5 } \right) ^ { n + 1 }\)
• D) \(a _ { n } = 4 \left( - \frac { 1 } { 25 } \right)^{ n - 1}\)

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