Author(s): Shikha Bhatnagar | Bijendra Singh | Omprakash Sikhwal
Journal: Global Journal of Mathematical Analysis
ISSN 2307-9002
Volume: 1;
Issue: 3;
Start page: 104;
Date: 2013;
Original page
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.
Journal: Global Journal of Mathematical Analysis
ISSN 2307-9002
Volume: 1;
Issue: 3;
Start page: 104;
Date: 2013;
Original page
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.
