Chapter 8.3, Problem 9E

To determine

(a)

Given $f\left(n\right)=f\left(n/5\right)+3n^2$ when $n$ is a positive integer divisible by $5$, and $f\left(1\right)=4$, find $f\left(5\right)$.

To determine

(b)

Given $f\left(n\right)=f\left(n/5\right)+3n^2$ when $n$ is a positive integer divisible by $5$, and $f\left(1\right)=4$, find $f\left(125\right)$.

To determine

(c)

Given $f\left(n\right)=f\left(n/5\right)+3n^2$ when $n$ is a positive integer divisible by $5$, and $f\left(1\right)=4$, find $f\left(3125\right)$