Identities of Common Factors of Generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas Numbers

Yashwant K. Panwar^1, , Bijendra Singh² and V. K. Gupta³

¹Department of Mathematics and MCA, Mandsaur Institute of Technology, Mandsaur, India

²School of Studies in Mathematics, Vikram University Ujjain, India

³Department of Mathematics, Govt. Madhav Science College, Ujjain, India

Cite this paper:
Yashwant K. Panwar, Bijendra Singh and V. K. Gupta. Identities of Common Factors of Generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas Numbers. Applied Mathematics and Physics. 2013; 1(4):126-128. doi: 10.12691/amp-1-4-5

Abstract

The Fibonacci sequence is famous for possessing wonderful and amazing properties. In this paper, we present generalized identities involving common factors of generalized Fibonacci, Jacobsthal and jacobsthal-Lucas numbers and related identities consisting even and odd terms. Binet’s formula will employ to obtain the identities.

Keywords:
generalized Fibonacci numbers Jacobsthal and jacobsthal-Lucas numbers Binet’s formula

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