How do you write the first five terms of the sequence defined recursively a 1 = 32 , a k + 1 = 1 2 a k ?

Question

How do you write the first five terms of the sequence defined recursively             a      1        =    32    ,          a              k        +        1              =          1      2              a      k      ?

ti1k1le2l · Accepted Answer

When       k    =    1    ,          a              k        +        1              =          a      2        =          1      2              a      1        =          1      2              (      32      )        =    16  When       k    =    2    ,          a              k        +        1              =          a      3        =          1      2              a      2        =          1      2              (      16      )        =    8  When       k    =    3    ,          a              k        +        1              =          a      4        =          1      2              a      3        =          1      2              (      8      )        =    4  When       k    =    4    ,          a              k        +        1              =          a      5        =          1      2              a      4        =          1      2              (      4      )        =    2  So:             a      1        =    32    ,          a      2        =    16    ,          a      3        =    8    ,          a      4        =    4    ,          a      5        =    2

How do you write the first five terms of the sequence defined recursively a_1=32,a_(k+1)=1/2a_k?

Answered question

Answer & Explanation

New Questions in Algebra I