Question

Show that n² – 3n is divisible by 2 for every natural number

Answer 1

natural numbers=1,2,3,4,.........

let us put some natural numbers in n²-3n

first put 1
(1)²-3(1)=1-3= -2
-2is divisible by 2..............…….(1)

now put 2
(2)²-3(2)=4-6=-2
-2also divisible by -2...............(2)

similarly, put 3
(3)²-3(3)=9-9=0
0 is divisible by 2...………………(3)

from 1,2 and 3

answer get by putting natural number in n²-3n is divisible by 2

Hence, n²-3n is divisible by 2 for every natural number