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

Arfat Ahmad Wani, V. H. Badshah

Abstract


In the present paper first and foremost we introduce a generalization of a classical Fibonacci sequence which is known as 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.

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References


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