IMO 2022 Shortlist A1
Let panqně1 be a sequence of positive real numbers with the property that pan1q2 anan2 ď an an2 for all positive integer...
Category: Algebra
Problem
Let panqně1 be a sequence of positive real numbers with the property that
pan1q2 anan2 ď an an`2
for all positive integers n. Show that a2022 ď 1.
(Nigeria)