### International Journal of Mathematical Sciences and Computing(IJMSC)

*ISSN: *2310-9025 (Print), *ISSN: *2310-9033 (Online)

*Published By: *MECS Press

*IJMSC Vol.3, No.4, Nov. 2017*

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

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#### Abstract

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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