Sir de numere naturale

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BogdanCNFB
Thales
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Joined: Wed May 07, 2008 4:29 pm
Location: Craiova

Sir de numere naturale

Post by BogdanCNFB »

Sa se arate ca un sir neconstant de numere naturale nenule \( (x_n)_{n\geq 0} \) este o progresie aritmetica daca si numai daca exista \( a>0 \) astfel incat \( x_{n+1}=x_n+[\frac{x_n}{n+a}],\forall n\in \mathbb{N} \)
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