Generalized Identities of Companion Fibonacci-Like Sequences

Authors

  • Shikha Bhatnagar
  • Bijendra Singh
  • Omprakash Sikhwal

DOI:

https://doi.org/10.14419/gjma.v1i3.805

Abstract

The Fibonacci sequence, Lucas sequence, Pell sequence, Pell-Lucas sequence, Jacobsthalsequence and Jacobsthal-Lucas sequence are most prominent examples of second order recursivesequences. In this paper, we deal with two companion Fibonacci- Like sequences which aregeneralization of Fibonacci-Like sequence. Further we obtain some generalized identities amongthe terms of companion Fibonacci-Like sequences, Jacobsthal and Jacobsthal-Lucas sequencesthrough Binet’s formulae.

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Published

15-10-2013

Issue

Vol. 1 No. 3 (2013)

Section

Articles

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How to Cite

Bhatnagar, S., Singh, B., & Sikhwal, O. (2013). Generalized Identities of Companion Fibonacci-Like Sequences. Global Journal of Mathematical Analysis, 1(3), 104-109. https://doi.org/10.14419/gjma.v1i3.805