Question 114
Let $\left(u_{n}\right)_{n \in \mathbb{N}}$ be a sequence that is periodic with period 2022 and with period 5. Show that $\left(u_{n}\right)$ is constant.
A sequence $\left(u_{n}\right)$ is said to be periodic with period $t$ if, for every natural number $n$, $u_{n+t}=u_{n}$.
A sequence $\left(u_{n}\right)$ is said to be periodic with period $t$ if, for every natural number $n$, $u_{n+t}=u_{n}$.