Robert Frontczak

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 22, 2016, Number 2, Pages 64—71

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## Details

### Authors and affiliations

Robert Frontczak

*Landesbank Baden-Wuerttemberg
Am Hauptbahnhof 2, 70173 Stuttgart, Germany
*

### Abstract

In this note we consider a family of finite and infinite alternating sums containing products of Fibonacci numbers. We derive closed-form expressions for this family of sums. As a consequence of this result we establish new algebraic relationships between certain alternating sums of reciprocals of products of Fibonacci numbers with integer power.

### Keywords

- Fibonacci number
- Alternating sums
- Reciprocals

### AMS Classification

- 11B37
- 11B39

### References

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## Cite this paper

APAFrontczak, R. (2016). A note on a family of alternating Fibonacci sums. Notes on Number Theory and Discrete Mathematics, 22(2), 64-71.

ChicagoFrontczak, Robert. “A Note on a Family of Alternating Fibonacci Sums.” Notes on Number Theory and Discrete Mathematics 22, no. 2 (2016): 64-71.

MLAFrontczak, Robert. “A Note on a Family of Alternating Fibonacci Sums.” Notes on Number Theory and Discrete Mathematics 22.2 (2016): 64-71. Print.