IMO 2024 Shortlist A5
Find all periodic sequences a1, a2, ... of real numbers such that the following conditions hold for all n ě 1: an2 a2 n ...
Category: Algebra
Problem
Find all periodic sequences a1, a2, ... of real numbers such that the following
conditions hold for all n ě 1:
an2 a2
n “ an a2 n1 and |an`1 ´ an| ď 1.
(Kosovo)