Published: 2021-07-27

A note on two fundamental recursive sequences

Reza Farhadian Logo ORCID , Rafael Jakimczuk

Abstract

In this note, we establish some general results for two fundamental recursive sequences that are the basis of many well-known recursive sequences, as the Fibonacci sequence, Lucas sequence, Pell sequence, Pell-Lucas sequence, etc. We establish some general limit formulas, where the product of the first n terms of these sequences appears. Furthermore, we prove some general limits that connect these sequences to the number e (≈2:71828...).

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Citation rules

Farhadian, R., & Jakimczuk, R. (2021). A note on two fundamental recursive sequences. Annales Mathematicae Silesianae, 35(2), 172–183. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13444
Domyślna okładka

Vol. 35 No. 2 (2021)
Published: 2021-09-10


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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