Generalized Identities of Companion Fibonacci-Like Sequences

  • Abstract
  • Keywords
  • References
  • PDF
  • 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 Binets formulae.




Article ID: 805
DOI: 10.14419/gjma.v1i3.805

Copyright © 2012-2015 Science Publishing Corporation Inc. All rights reserved.