Question 46
Are there bijective functions $f, g : \mathbb{N} \to \mathbb{N}$ such that for every $n \in \mathbb{N}$
$$
g(n) = \frac{f(1) + f(2) + \dots + f(n)}{n}\ ?
$$
$$
g(n) = \frac{f(1) + f(2) + \dots + f(n)}{n}\ ?
$$
MathNet 2024-part-03 — 168 problems (EN–VI) Question 46
Math Olympiad Vault · MathNet 2024-part-03 — 168 problems (EN–VI)