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n(n+1)(n+5)divisible by 3 |
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Answer» hope you underatand it? =>suppose n=k than =>k(k+1)(k+5)=6m [multiple of 6]=>P(k+1)=( k+1) (k+2)( k+6) =>k(k+1)(k+2)+6(k+1)(k+2)………split (k+6) =>6n+6(….)…………………………………………….k(k+1)(k+2) product of 3 consecutive no’s is divisible by 6 |
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