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Inductie matematica
Posted:
Thu Jan 08, 2009 8:56 pm
by
alex2008
Sa se calculeze suma urmatoare si apoi sa se demonstreze prin inductie matematica formula gasita:
\( 1!(1^2+1+1)+2!(2^2+2+1)+...+n!(n^2+n+1). \)
Posted:
Fri May 01, 2009 5:44 pm
by
Mateescu Constantin
\( \sum_{k=1}^n k!(k^{2}+k+1)=(n+1)!(n+1)-1. \)