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Write the First Five Terms of the Sequence Defined Recursively a1=−7,ak+1=3aka _ { 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. ) a1=−7,ak+1=3aka _ { 1 } = - 7 , a _ { k + 1 } = 3 a _ { k }


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

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