olymmath

RMO 2016 A6

  • CRMO Paper 1

Let (a1,a2,… )(a_1,a_2,\dots) be a strictly increasing sequence of positive integers in arithmetic progression. Prove that there is an infinite sub-sequence of the given sequence whose terms are in a geometric progression.

Dataset text AI-MO AoPS. Quoted with source.

Official text: Indian Regional Mathematical Olympiad 2016 official paper, page 1.

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