Prove that one of every three consecutive positive integers is divisible by 3
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Prove that one of every three consecutive positive integers is divisible by 3
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let the 3 consecutive positive intergers be n,n+1,n+3
let n be q
=3q,3q+1 or, 3q+2
We are taking 3 cases
Hence n,n+1, and n+2 is divisible by 3.
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