Answer
The first five terms are:
$a_1= A$
$a_2 = Ar$
$a_3 = Ar^2$
$a_4 = Ar^3$
$a_5= Ar^4$
Work Step by Step
Use the given recursive formula to find the next four terms:
$a_1= A$
$a_2 = r(a_1) = r(A) = Ar$
$a_3 = r(a_2) = r(Ar) = Ar^2$
$a_4 = r(a_3) = r(Ar^2) = Ar^3$
$a_5= r(a_4) = r(Ar^3) = Ar^4$