Math, asked by Tanyaaaaa8353, 10 months ago

Show that only ond out of n , n+2,n+4 is divisible by 3 where n is any positive integer

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Answered by mukeshkgoyal79
0

Answer:⇒ n + 2 = 3q + 2 + 2 = 3q + 4 = 3(q + 1) + 1 is not divisible by 3. ⇒ n + 4 = 3q + 2 + 4 = 3q + 6 = 3(q + 2) is divisible by 3. Thus one and only one out of n , n+2, n+4 is divisible by 3

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