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Write the First Five Terms of the Sequence Defined Recursively a1=−8,ak+1=−3aka _ { 1 } = - 8 , a _ { k + 1 } = - 3 a _ { k }

Question 40

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=−8,ak+1=−3aka _ { 1 } = - 8 , a _ { k + 1 } = - 3 a _ { k }


A) ak=(24) n;−8,−512,4096,−32768,262144a _ { k } = ( 24 ) ^ { n } ; - 8 , - 512,4096 , - 32768,262144 ​
B) an=−8(−3) n−1;−8,24,−72,216,−648a _ { n } = - 8 ( - 3 ) ^ { n - 1 } ; - 8,24 , - 72,216 , - 648 ​
C) an=−8n;−8,−16,−24,−32,−40a _ { n } = - 8 n ; - 8 , - 16 , - 24 , - 32 , - 40 ​
D) ak=(24) n−1;−8,−512,4096,−32768,262144a _ { k } = ( 24 ) ^ { n - 1 } ; - 8 , - 512,4096 , - 32768,262144 ​
E) an=−8(−3) n;24,−72,216,−648,1944a _ { n } = - 8 ( - 3 ) ^ { n } ; 24 , - 72,216 , - 648,1944 ​

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