Question

show that exactly one of the number n,n+2 or n +4 & divisble by 3​

Answer 1

Step-by-step explanation:

⇒ 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.

Hope It helps!!

Stay Safe Stay Healthy