<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>We develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred from some trigonometric identities.</p>
</abstract>

We develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred from some trigonometric identities.

Fibonacci Sums Modulo 5

Department of Physics and Engineering Physics

Faculty of Mathematics and Computer Science

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Fibonacci Sums Modulo 5"}

We develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our...

Fibonacci Sums Modulo 5

Published Online: Jun 07, 2024

Page range: -

Received: Dec 01, 2023

Accepted: May 10, 2024

DOI: https://doi.org/10.2478/amsil-2024-0015

Keywords
Fibonacci number, Lucas number, Bernoulli polynomial, Chebyshev polynomial, trigonometric identity, binomial sum

© 2024 Kunle Adegoke et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fibonacci Sums Modulo 5

Published Online: Jun 07, 2024

Page range: -

Received: Dec 01, 2023

Accepted: May 10, 2024

DOI: https://doi.org/10.2478/amsil-2024-0015

KeywordsFibonacci number, Lucas number, Bernoulli polynomial, Chebyshev polynomial, trigonometric identity, binomial sum

© 2024 Kunle Adegoke et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Fibonacci number, Lucas number, Bernoulli polynomial, Chebyshev polynomial, trigonometric identity, binomial sum