Write the Nth Term of the Geometric Sequence as a Function

question 43

Multiple Choice

Write the nth term of the geometric sequence as a function of n. $$a _ { 1 } = 2 , a _ { k + 1 } = 4 a _ { k }$$

• A) \(a _ { n } = 2 ( 4 ) ^ { n - 1 }\)
• B) \(a _ { n } = - 2 + 4 n\)
• C) \(a _ { n } = 2 ( 4 ) ^ { n }\)
• D) \(a _ { n } = 2 \left( \frac { 1 } { 4 } \right) ^ { n - 1 }\)
• E) \(a _ { n } = 4 ( 2 ) ^ { n - 1 }\)

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