Question

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

Answer 1

Step-by-step explanation:

Let a be the positive integer

let a be divided by 3 and get Quotient and remainder

According to Euclid division lemma

a=3q+r

a=3q

let 3q =n

if r=0

Then

a=(n+0) or n

if r=2

Then

a=(n+2)

if r=4

Then

a=(n+4)