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

question 60

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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