On The Properties of Fibonacci-Like Sequence

Arfat Ahmad Wani; G. P. S.Rathore; Kiran Sisodiya

doi:https://doi.org/10.14445/22315373/IJMTT-V29P513

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 29 | Number 2 | Year 2016 | Article Id. IJMTT-V29P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V29P513

On The Properties of Fibonacci-Like Sequence

Arfat Ahmad Wani, G. P. S.Rathore, Kiran Sisodiya

Abstract

The Fibonacci sequences are well known examples of second order recurrences.In this paper, we introduce and study Fibonacci-Like sequence that is defined by the recurrence relation as T T T n T m T m n n n 0 1 , 2, , , where m being a fixed positive integer.In this paper we present identities of Fibonacci-Like sequence in addition to this we shall define Binet’s formula and generating function of Fibonacci-Like sequence andalmost allof the identities are proved by Binet’s formula

Keywords

Fibonacci sequence, Fibonacci-Like sequence, Binet’s formula.

References

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Citation :

Arfat Ahmad Wani, G. P. S.Rathore, Kiran Sisodiya, "On The Properties of Fibonacci-Like Sequence," International Journal of Mathematics Trends and Technology (IJMTT), vol. 29, no. 2, pp. 80-86, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V29P513