IMO 2024 Shortlist A3
Decide whether for every sequence panq of positive real numbers, 3a1 3a2 ¨¨¨ 3an p2a1 2a2 ¨¨¨ 2anq2 ă is true for at lea...
Category: Algebra
Problem
Decide whether for every sequence panq of positive real numbers,
3a1
3a2 ¨¨¨ 3an p2a1 2a2 ¨¨¨ 2anq2
ă
is true for at least one positive integer n.
(China)