Question 170
Let $f(n)$ be a function satisfying the following three conditions for all positive integers $n$:
(a) $f(n)$ is a positive integer,
(b) $f(n+1) \gt f(n)$,
(c) $f(f(n)) = 3n$.
Find $f(2001)$.
(a) $f(n)$ is a positive integer,
(b) $f(n+1) \gt f(n)$,
(c) $f(f(n)) = 3n$.
Find $f(2001)$.