Question

Show that n^2+n+2 is not divisible by 5 for any n where n is a natural nmber

Answer 1

let the value of n be 2

(2)^2 + 2 +2=8 which is not divisible by 5

n=3

(3)^2+3+2=14 which is not divisible by 5

Similarly put any no. in place of n you will get a no. that is not divisible by 5