Another type of generalized fibonacci series

Autor: Júlio Pureza, Gil Bazanini
Jazyk: English<br />Portuguese
Rok vydání: 2004
Předmět:
Zdroj: Semina: Ciências Exatas e Tecnológicas, Vol 25, Iss 2, Pp 123-128 (2004)
Druh dokumentu: article
ISSN: 1676-5451
1679-0375
Popis: The Fibonacci sequence, with many applications and occurrences in nature and arts is discussed in the present work. It is considered a generalization of the Fibonacci series by the introduction of a real coefficient in the recurrence relation. The analysis shows the divergence of the generalized series when the coefficient is the square root of a positive number, although the relation between two consecutive terms converges to a finite number when the coefficient is a real number. Fibonacci. Series. Convergence.
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