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Arithmetic Sequenceshard
0:00.0

Consider three arithmetic progressions: $$A = \{1, 4, 7, 10, \dots\}$

B=2,7,12,17,dotsB = \\{2, 7, 12, 17, \\dots\\}B=2,7,12,17,dots

C = \\{3, 10, 17, 24, \\dots\\}$$ How many positive integers less than or equal to 1000$ are common to all three sequences?