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Asian Journal of Mathematics & Statistics
  Year: 2018 | Volume: 11 | Issue: 1 | Page No.: 18-26
DOI: 10.3923/ajms.2018.18.26
 
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Matrix Representation of an All-inclusive Fibonacci Sequence

Tanveer Ahmad Tarray , Parvaiz Ahmad Naik and Riyaz Ahmad Najar

Abstract:
Background and Objectives: Fibonacci sequence is a sequence of positive integers that has been studied over several years. The aim of this paper was to suggest new generalized Fibonacci sequence to a particular class of recursive sequence. Materials and Methods: The equilibrium point of the model was investigated and a new sequence. The matrix method was applied to perform the generalization. Results: The nth power of the generating matrix for this generalized Fibonacci sequence was established and some basic properties of this sequence were obtained by matrix methods. Conclusion: Cassini’s identity and Binet’s formula for the generalized Fibonacci sequence was obtained.
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How to cite this article:

Tanveer Ahmad Tarray, Parvaiz Ahmad Naik and Riyaz Ahmad Najar, 2018. Matrix Representation of an All-inclusive Fibonacci Sequence. Asian Journal of Mathematics & Statistics, 11: 18-26.

DOI: 10.3923/ajms.2018.18.26

URL: https://scialert.net/abstract/?doi=ajms.2018.18.26

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