Question

Show that one and only one out of n, (n+1) and (n + 2) is divisible
by 3, where n is any positive integer.​

Answer 1

Step-by-step explanation:

n=3k+2 not divisible by 3

n+1=3k+3=3(k+1) is divisible by 3

n+2=3k+4=3(k+1)+1 is not divisible by 3

from above only one is divisible by 3