Sir de numere cu n divide a_n

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BogdanCNFB
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Sir de numere cu n divide a_n

Post by BogdanCNFB »

Fie \( (a_n)_{n\in N} \) un sir cu proprietatea ca
\( a_1=3,a_{n+1}=\frac{3a_n^2+1}{2}-a_n,\forall n\in N. \)
Demonstrati ca daca n este o putere a lui 3, atunci \( n|a_n \).
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