Question

Show that exactly one of the numbers n, n + 2 or n + 4 is divisible by 3.

Answer 1

HOPE IT HELPS YOU!!!!!!!!!!!!!!!!
PLZ MARK ME AS BRAINLIEST

Answer 2

Case 1.
Let n= 3q,where q>=0,0<=r1.n=3q is divisible by 3.
2.n+2=3q+2 is not div. by 3.
3.n+4=3q+4 is not div. by 3.

Case 1.
Let n= 3q,where q>=0,0<=r1.n=3q is divisible by 3.
2.n+2=3q+2 is not div. by 3.
3.n+4=3q+4 is not div. by 3.

Case 2.
Let n= 3q+1,where q>=0,0<=r1.n=3q+1 is not divisible by 3.
2.n+2=3q+3 is div. by 3.
3.n+4=3q+5 is not div. by 3.

Case 3.
Let n= 3q+2,where q>=0,0<=r1.n=3q+2 is not divisible by 3.
2.n+2=3q+4 is not div. by 3.
3.n+4=3q+6 is div. by 3.

Therefore,only one and one out of numbers n,n+2,n+4 is divisible by 3.

___Ans.