Question

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

Answer 1

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

Step-by-step explanation: