Answer:
Solution is given below
Explanation:
f(x+1) = 2.5f(x) is an example of a recursion formula
Use what we know about f(1) to find f(2). Then use f(2) to find f(3), etc.
f(1) = 3.2
f(2) = f(1+1) = 2.5f(1) = 2.5(3.2) = 8
f(3) = f(2+1) = 2.5f(2) = 2.5(8) = 20
f(4) = f(3+1) = 2.5f(3) = 2.5(20) = 50
f(5) = f(4+1) = 2.5f(4) = 2.5(50) = 125
and for f(x+1)=5/2
f(x + 1) = (5/2)(f(x))
f(1 + 1) = (5/2)(3.2)
f(2) = 8