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Source: 2022 AIME I Problem 6

February 9, 2022
AMCAIMEAIME I

Problem Statement

Find the number of ordered pairs of integers (a,b)(a, b) such that the sequence 3,4,5,a,b,30,40,503, 4, 5, a, b, 30, 40, 50 is strictly increasing and no set of four (not necessarily consecutive) terms forms an arithmetic progression.
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