The Binet Forms for the Fibonacci and Lucas Numbers

Datta M. Mahajan

doi:https://doi.org/10.14445/22315373/IJMTT-V10P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 10 | Number 1 | Year 2014 | Article Id. IJMTT-V10P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V10P503

The Binet Forms for the Fibonacci and Lucas Numbers

Datta M. Mahajan

Abstract

The Binet forms for the well known Fibonacci and Lucas Sequences {Fn} and {Ln}are discussed, in detail, in this paper.

Keywords

Fibonacci Fn, Lucas Ln, Binet forms

References

1. Bodas, M.A. Fibonocci Sequences and the Golden Section. SanJose, California : Master’s thesis, SanJose state University, 2001.
2. Hoggatt, V.E. Fibonacci and Lucas numbers. Boston : Houghton Mifflin Company, 1969.
3. Sury, B. “A Parcnt of Binet’s formula.” Mathematics Magazine 77, no. 4 (2004) : 308 - 310.
4. Silverman, J. H.(2006). A friendly introduction to number theory (3rd ed.).Upper Saddle River, NJ: Pearson Education.

Citation :

Datta M. Mahajan, "The Binet Forms for the Fibonacci and Lucas Numbers," International Journal of Mathematics Trends and Technology (IJMTT), vol. 10, no. 1, pp. 14-16, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V10P503