Sum Formulas for Generalized Fifth-Order Linear Recurrence Sequences

Soykan, Yüksel (2019) Sum Formulas for Generalized Fifth-Order Linear Recurrence Sequences. Journal of Advances in Mathematics and Computer Science, 34 (5). pp. 1-14. ISSN 2456-9968

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Abstract

In this paper, closed forms of the summation formulas for generalized Pentanacci numbers are presented. Then, some previous results are recovered as particular cases of the present results. As special cases, we give summation formulas of Pentanacci, Pentanacci-Lucas, fifth order Pell, fifth order Pell-Lucas, fifth order Jacobsthal and fifth order Jacobsthal-Lucas sequences. We present the proofs to indicate how these formulas, in general, were discovered. In fact, all the listed formulas of the special cases of of the main theorems may be proved by induction, but that method of proof gives no clue about their discovery.

Item Type: Article
Subjects: Science Global Plos > Mathematical Science
Depositing User: Unnamed user with email support@science.globalplos.com
Date Deposited: 08 Apr 2023 09:14
Last Modified: 15 Mar 2024 12:17
URI: http://ebooks.manu2sent.com/id/eprint/492

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