Question

show that one and only one of n,n+2, n+4 is divisible by 3 where 'n' is any positiveinteger.

Answer 1

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Answer 2

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 + 2 = 3q + 2 is not divisible by 3. ⇒ n + 4 = 3q + 4 = 3(q + 1) + 1 is not divisible by 3.