Abstract
In this paper, closed forms of the summation formulas for generalized Fibonacci numbers are presented. As special cases, we give summation formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas numbers. We present the proofs to indicate how these formulas, in general, were discovered. Of course, all the listed formulas may be proved by induction, but that method of proof gives no clue about their discovery.
Publisher
Sciencedomain International
Subject
Geology,Ocean Engineering,Water Science and Technology
Cited by
2 articles.
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1. On Doubled and Quadrupled Fibonacci Type Sequences;Annales Mathematicae Silesianae;2023-11-22
2. Models of Recurrent Distributions Statistical Averaging for Electronic Components with Fluctuations;2023 17th International Conference on the Experience of Designing and Application of CAD Systems (CADSM);2023-02-22