Question

Show that one and only out of n, n+2, or n+4 is divisible by 3.

Answer 1

Answer:

thus any number is in the form of 3q , 3q+1 or 3q+2. n is 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.