On the Relations between Lucas Sequence and Fibonacci-like Sequence by Matrix Methods

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Arfat Ahmad Wani 1,* V. H. Badshah 1

1. School of Studies in Mathematics, Vikram University Ujjain, India.

* Corresponding author.

DOI: https://doi.org/10.5815/ijmsc.2017.04.03

Received: 21 Feb. 2017 / Revised: 28 Apr. 2017 / Accepted: 8 Jun. 2017 / Published: 8 Nov. 2017

Index Terms

Fibonacci Sequence, Lucas Sequence, Generalization of Fibonacci Sequence, Matrix Method


In the present paper first and foremost we introduce a generalization of a classical Fibonacci sequence which is called a Fibonacci-Like sequence and at hindmost we obtain some relationships between Lucas sequence and Fibonacci-Like sequence by using two cross two matrix representation to the Fibonacci-Like sequence. The most worth noticing cause of this article is our proof method, since all the identities are proved by using matrix methods.

Cite This Paper

Arfat Ahmad Wani, V. H. Badshah,"On the Relations between Lucas Sequence and Fibonacci-like Sequence by Matrix Methods", International Journal of Mathematical Sciences and Computing(IJMSC), Vol.3, No.4, pp.20-36, 2017.DOI: 10.5815/ijmsc.2017.04.03


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