IMO 2010 Shortlist A4
A sequence x1,x2,... is defined by x1 1 and x2k xk, x2k1 p1qk 1 xk for all k ©1. Prove that x1 x2 xn ©0 for...
Category: Algebra
Problem
A sequence x1,x2,... is defined by x1 1 and x2k xk, x2k1 p1qk 1 xk for all k ©1. Prove that x1 x2 xn ©0 for all n ©1. (Austria)