Question

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

Answer 1

Answer:

$f(5)=125$

Step-by-step explanation:

If $f(1)=3.2$ and $f(x+1)=\dfrac{5}{2}f(x),$ then

1. at $x=1$ you have $f(2)=\dfrac{5}{2}\cdot f(1)=2.5\cdot 3.2=8;$
2. at $x=2$ you have $f(3)=\dfrac{5}{2}\cdot f(2)=2.5\cdot 8=20;$
3. at $x=3$ you have $f(4)=\dfrac{5}{2}\cdot f(3)=2.5\cdot 20=50;$
4. at $x=4$ you have $f(5)=\dfrac{5}{2}\cdot f(4)=2.5\cdot 50=125.$