Show that n² – 3n is divisible by 2 for every natural number
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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
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
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in equation 3 how is 0 divisible by 2
answer get is 0 hence it is divisible by 2
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