Another type of generalized fibonacci series
DOI:
https://doi.org/10.5433/1679-0375.2004v25n2p123Keywords:
Fibonacci., Series, Convergence.Abstract
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.Metrics
Downloads
Published
How to Cite
Issue
Section
License
The Copyright Declaration for articles published in this journal is the author’s right. Since manuscripts are published in an open access Journal, they are free to use, with their own attributions, in educational and non-commercial applications. The Journal has the right to make, in the original document, changes regarding linguistic norms, orthography, and grammar, with the purpose of ensuring the standard norms of the language and the credibility of the Journal. It will, however, respect the writing style of the authors. When necessary, conceptual changes, corrections, or suggestions will be forwarded to the authors. In such cases, the manuscript shall be subjected to a new evaluation after revision. Responsibility for the opinions expressed in the manuscripts lies entirely with the authors.
This journal is licensed with a license Creative Commons Attribution-NonCommercial 4.0 International.
