show that one and only one out of n,n+2 or n+4 is divisible by 3,where 'n' is any positive integer
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show that one and only one out of n,n+2 or n+4 is divisible by 3,where 'n' is any positive integer
show that one and only one out of n,n+2 or n+4 is divisible by 3,where 'n' is any positive integer
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Answer:
Prove that one and only one out of n, n + 2 and n + 4 is divisible by 3, where n is any positive integer . Euclid's division Lemma any natural number can be written as: . ... ⇒n = 3q = 3(q) is divisible by 3, ⇒ n + 2 = 3q + 2 is not divisible by 3
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