show that one and only one out of n,n+2,n+4 is divisible by 3 ,where n is any positive integer

show that one and only one out of n,n+2,n+4 is divisible by 3 ,where n

1.	show that one and only one out of n,n+2,n+4 is divisible by 3 ,where n is any positive integer
Answer» We applied Euclid Division algorithm on n and 3.a = bq +r on putting a = n and b = 3n = 3q +r , 0