Summation of certain infinite Fibonacci related series
Bakir Farhi
TL;DR
This paper derives closed-form sums for specific infinite Fibonacci-related series, generalizing previous results by various researchers in the field.
Contribution
It introduces new closed-form formulas for Fibonacci-related series, extending prior work by Brousseau, Popov, Rabinowitz, and others.
Findings
Derived closed-form sums for Fibonacci series
Generalized existing Fibonacci series results
Extended the scope of Fibonacci series summation
Abstract
In this paper, we find the closed sums of certain type of Fibonacci related convergent series. In particular, we generalize some results already obtained by Brousseau, Popov, Rabinowitz and others.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Mathematical Theories and Applications · Advanced Combinatorial Mathematics