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

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. ) $$a _ { 1 } = - 8 , a _ { k + 1 } = - 3 a _ { k }$$

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

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