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.Downloads
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