IMO 2017 Shortlist A4
A sequen e of real numbers a1,a2,... satis es the relation an “ ´ max ij“n pai ajq for all n ą 2017. Prove that this seq...
Category: Algebra
Problem
A sequen e of real numbers a1,a2,... satis es the relation
an “ ´ max
ij“n pai ajq for all n ą 2017.
Prove that this sequen e is bounded, i.e., there is a onstant M su h that |an| ď M for all
positive integers n.
(Russia) Shortlisted problems 5