On Sum and Ratio Formulas for Balancing Numbers


Affiliations

  • National Institute of Technology, Department of Mathematics, Rourkela, 769 008, India

Abstract

This paper deals with the construction of explicit formulas for sum of consecutive balancing numbers, consecutive even/odd balancing numbers, squares of consecutive balancing numbers, squares of consecutive even/odd balancing numbers and pronic product of balancing numbers. Sums of these numbers with alternative signs give beautiful results. When indices are in arithmetic progression, ratios of sums and differences follow certain interesting patterns.

Keywords

Balancing and Lucas Balancing Numbers, Balancer, Integer Sequences, Binet Form.

Subject Discipline

Mathematical Sciences

Full Text:

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