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given:
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(n+2)! / (n+2)n!
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(n+2)! = (n+2)(n+1)n!
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(n+2)! / (n+2)n!
(n+2)(n+1)n! / (n+2)n!
(n+1)n! / n!
(n+1)
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answer:
n + 1
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