Inductie matematica

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alex2008
Leibniz
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Inductie matematica

Post by alex2008 »

Sa se calculeze suma urmatoare si apoi sa se demonstreze prin inductie matematica formula gasita: \( 1!(1^2+1+1)+2!(2^2+2+1)+...+n!(n^2+n+1). \)
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Mateescu Constantin
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Post by Mateescu Constantin »

\( \sum_{k=1}^n k!(k^{2}+k+1)=(n+1)!(n+1)-1. \)
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