show that one of every three consecutive odd positive integer is divisible by 3
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yes it is true it can be proved by simple way
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Prove that one of every three consecutive positive integer is divisible by 3. Let n,n+1,n+2 be three consecutive positive integers. In this case, n is divisible by 3 but n+1 and n+2 are not divisible by 3. In this case, n+2=3q+1+2=3 is divisible by 3 but n and n+1 are not divisible by 3.
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