Generalized Identities of Companion Fibonacci-Like Sequences

  • Authors

    • Shikha Bhatnagar
    • Bijendra Singh
    • Omprakash Sikhwal
    https://doi.org/10.14419/gjma.v1i3.805

    Received date: April 11, 2013

    Accepted date: April 27, 2013

    Published date: October 15, 2013

  • 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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  • 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