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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Because n ,n+2 and n+4 are three consecutive odd/even number. So , one of them will always be divisible by 3
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Step-by-step explanation:
→ 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.
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