prove that any three consecutive numbers are divisible by 3
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Let three consecutive positive integers be n, n + 1 and n + 2. Whenever a number is divided by 3, the remainder obtained is either 0 or 1 or 2. ∴ n = 3p or 3p + 1 or 3p + 2, where p is some integer. ... So, we can say that one of the numbers among n, n + 1 and n + 2 is always divisible by 3
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