olymmath

RMO 2016 C6

  • CRMO Paper 3

(a). Given any natural number NN, prove that there exists a strictly increasing sequence of NN positive integers in harmonic progression.

(b). Prove that there cannot exist a strictly increasing infinite sequence of positive integers which is in harmonic progression.

Dataset text AI-MO AoPS. Quoted with source.

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

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