Generalized Fibonacci Lucas sequence its Properties

  • Authors

    • Mamta Singh
    • Yogesh Gupta School of Studies in Mathematics,Vikram university,Ujjain
    • Omprakash Sikhwal
    2014-07-25
    https://doi.org/10.14419/gjma.v2i3.2793

  • Abstract

    Sequences have been fascinating topic for mathematicians for centuries. The Fibonacci sequences are a source of many nice and interesting identities. A similar interpretation exists for Lucas sequence. The Fibonacci number, Lucas numbers and their generalization have many interesting properties and applications to almost every field. Fibonacci sequence is defined by the recurrence formula and , where are an nth number of sequences. The Lucas Sequence is defined by the recurrence formula and , where an nth number of sequences are. In this paper, we present generalized Fibonacci-Lucas sequence that is defined by the recurrence relation , with B0= 2s, B1 = s . We present some standard identities and determinant identities of generalized Fibonacci-Lucas sequences by Binets formula and other simple methods.

    Keywords: Fibonacci sequence, Lucas Sequence, Generalized Fibonacci sequence, Binets Formula.

  • References

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  • How to Cite

    Singh, M., Gupta, Y., & Sikhwal, O. (2014). Generalized Fibonacci Lucas sequence its Properties. Global Journal of Mathematical Analysis, 2(3), 160-168. https://doi.org/10.14419/gjma.v2i3.2793

    Received date: 2014-05-13

    Accepted date: 2014-06-14

    Published date: 2014-07-25