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TOT 2004 Spring - Senior O-Level p4 a_1^2,a_2^2,a_3^2 in arithm. progression

Source:

February 25, 2020
IntegersArithmetic ProgressionSequencenumber theory

Problem Statement

Arithmetical progression a1,a2,a3,a4,...a_1, a_2, a_3, a_4,... contains a12,a22a_1^2 , a_2^2 and a32a_3^2 at some positions. Prove that all terms of this progression are integers.
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