Prove that the product of three consecutive no.s is divisible by 6.

Prove that the product of three consecutive no.s is divisible by 6.

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X+(X+1)+(X+2):6
X=1--->1+1+1+1+2:6
6:6
X=k---->k+k+1+k+2:6
3k+3:6
3(k+1):6
X=K+1------>k+1+K+2+K+3:6

3k+6:6
w8 i stuck here...:S

I think u added every term. Are we not to multiply x(x+1)(x+2)? Plz explain in detail.

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