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ASU 011 All Russian MO1961 10.1 sequences

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June 17, 2019
Sequencealgebra

Problem Statement

Prove that for three arbitrary infinite sequences, of natural numbers a1,a2,...,an,...a_1,a_2,...,a_n,... , b1,b2,...,bn,...b_1,b_2,...,b_n,... , c1,c2,...,cn,...c_1,c_2,...,c_n,... there exist numbers pp and qq such, that ap≥aqa_p \ge a_q, bp≥bqb_p \ge b_q and cp≥cqc_p \ge c_q.
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