Question

What if f(5) if f(1) = 3.2 and f(x+1) = 5/2 (f(x))

Answer 1

`f(5)=125`

Explanation:

If
`f(1)=3.2` and
`f(x+1)=(5)/(2)f(x),` then

1. at
   `x=1` you have
   `f(2)=(5)/(2)\cdot f(1)=2.5\cdot 3.2=8;`
2. at
   `x=2` you have
   `f(3)=(5)/(2)\cdot f(2)=2.5\cdot 8=20;`
3. at
   `x=3` you have
   `f(4)=(5)/(2)\cdot f(3)=2.5\cdot 20=50;`
4. at
   `x=4` you have
   `f(5)=(5)/(2)\cdot f(4)=2.5\cdot 50=125.`