Question

show n (n +1)( n-1) is divisible by 3 for any positive integers n ​

Answer 1

n can be 4 because :-

(4+1)(4-1) = 5 × 3 = 15

15 is divisible by 3.

So, the answer is 4.

Hope you will like the explanation.

Answer 2

Answer:

Put n=1, then answer would come out to be zero which is divisible by 3

now put n=2, answer=6 which is also divisible by 3

now put n=3,answer=12 which is also divisible by 3

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so on it goes on and you can notice here that for positive value of n the answer comes out to be divisible by 3

Hence proved.