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Prove that : n! (n + 2) = n! + (n + 1)! |
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Answer» Given : n! (n + 2) = n! + (n + 1)! R.H.S. = n! + (n + 1)! = n! + (n + 1)(n + 1 – 1)! = n! + (n + 1)n! = n!(1 + n + 1) = n! (n + 2) = L.H.S L.H.S = R.H.S Hence, Proved. |
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