Prove that n(n+1)(n+2) is divisible by 6 Share with your friends Share 2 Gursheen Kaur answered this Here is the link for answer to your query.https://www.meritnation.com/ask-answer/question/using-mathematical-induction-prove-that-n-n-1-n-2-is-di/principle-of-mathematical-induction/2747808 8 View Full Answer Surabhi Negi answered this n(n+1)(n+2) = 6dP(1) = 1(1+2)(2+3) = 2X3 = 6P(k) = k(k+1)(k+2) = 6d ........(i)P(k+1) = (k+1)(k+2)(k+3) = 6d/k(k+3) (from (i)) =6d(k+3/k)hence proved -42