Question 95
Suppose $f: N \to N$ is a function such that
$$
f^n(n) = 2n
$$
for all $n \in N$. Must $f(n) = n + 1$ for all $n$?
$$
f^n(n) = 2n
$$
for all $n \in N$. Must $f(n) = n + 1$ for all $n$?
Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)