Concursul "Teodor Topan" - problema 2

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maky
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Concursul "Teodor Topan" - problema 2

Post by maky »

Se considera sirul \( \left(a_n\right)_{n\ge{1}} \) cu \( a_1\g0 \) si \( a_{n+1}=\frac{5a_n+3}{a_n+3} \).
Aratati ca sirul \( \left(b_n\right)_{n\ge{1}} \) cu \( b_n=\frac{a_n-3}{a_n+1} \) este o progresie geometrica.
Paul Florinel, Zalau
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