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A number n is divisible by 7 if, when we form an alternating sum of blocks...

A number n is divisible by 7 if, when we form an alternating sum of blocks of three from right to left, we obtain a multiple of 7 (e.g., if n = 100, 200, 240, then we consider 240−200+100 = 140, which is divisible by 7). Prove the statement.

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