S. G. Rayaguru and G. K. Panda

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 26, 2020, Number 2, Pages 152–158

DOI: 10.7546/nntdm.2020.26.2.152-158

**Full paper (PDF, 180 Kb)**

## Details

### Authors and affiliations

S. G. Rayaguru

*Department of Mathematics, National Institute of Technology
Rourkela, India
*

G. K. Panda

*Department of Mathematics, National Institute of Technology
Rourkela, India
*

### Abstract

We obtain some closed form expressions for certain infinite sums related to Lucas and associated Lucas sequences. Some of our results generalize existing results concerning infinite sums involving Lucas sequences and others are variants of some existing results.

### Keywords

- Lucas sequences
- Convergence of infinite series

### 2010 Mathematics Subject Classification

- 11B39

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## Related papers

## Cite this paper

Rayaguru, S. G., & Panda, G. K. (2020). Infinite sums associated with certain Lucas sequences. *Notes on Number Theory and Discrete Mathematics*, 26 (2), 152-158, DOI: 10.7546/nntdm.2020.26.2.152-158.