Write the First Five Terms of the Sequence Defined Recursively $a _ { 1 } = - 7 , a _ { k + 1 } = 3 a _ { k }$

question 127

Multiple Choice

Write the first five terms of the sequence defined recursively.Use the pattern to write the nth term of the sequence as a function of n.(Assume that n begins with 1.) $a _ { 1 } = - 7 , a _ { k + 1 } = 3 a _ { k }$

• A) \(a _ { n } = - 7 n ; - 7 , - 21 , - 63 , - 189 , - 567\)
• B) \(a _ { n } = - 7 ( 3 ) ^ { n } ; - 21 , - 63 , - 189 , - 567 , - 1701\)
• C) \(a _ { n } = ( - 21 ) ^ { n } ; - 7 , - 63 , - 189 , - 567 , - 1701\)
• D) \(a _ { n } = ( - 21 ) ^ { n - 1 } ; - 21 , - 63 , - 189 , - 567 , - 1701\)
• E) \(a _ { n } = - 7 ( 3 ) ^ { n - 1 } ; - 7 , - 21 , - 63 , - 189 , - 567\)

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