Question

prove that 1 and only one out of n, n+2 and n+4 is divisible by 3 where n is any positive integer​

Answer 1

Step-by-step explanation:

let 3 is divisible of n

if 3 is divisible of n so it should also divide n+2 and n+4 but this is not divisible by 3 because if it is divisible of 3 and we add 2 or 4 in this it should not be divisible of 3

similarly for n+2 is divisible by 3

and n+4 is divisible by 3

therefore solving this we always get only one if them is divisible by 3 in each case