Question

Write the first five terms of the sequence defined by the explicit formula.

Answer 1

(a) 112, 28, 7, (7/4), (7/16)

Explanation:

The sequence is given by the explicit formula

`a_(n) = 112 ((1)/(4) )^(n-1)`

The terms of the sequence are :

`a_(1) = 112 ((1)/(4) )^(1-1) = 112  ((1)/(4) )^(0) =112`

`a_(2) = 112 ((1)/(4) )^(2-1) = 112((1)/(4) ) =28`

`a_(3) = 112 ((1)/(4) )^(3-1) = 112((1)/(4) )^(2) = 7`

`a_(4) = 112 ((1)/(4) )^(4-1)=112((1)/(4) )^(3) = (7)/(4)`

`a_(5) = 112 ((1)/(4) )^(5-1)=112 ((1)/(4) )^(4) = (7)/(16)`