IMO 2018 Shortlist A2
Find all positive integers n ě 3 for whi h there exist real numbers a1,a2,...,an, an1 “ a1, an2 “ a2 su h that aiai1 1 “...
Category: Algebra
Problem
Find all positive integers n ě 3 for whi h there exist real numbers a1,a2,...,an,
an1 “ a1, an2 “ a2 su h that
aiai1 1 “ ai`2
for all i “ 1,2,...,n.
(Slovakia)