Fibonacci Sequence with Golden Ratio and Its
Application

Pradip Kumar Sah; Akanksha Madhuri Raj; A.K. Sah

doi:https://doi.org/10.14445/22315373/IJMTT-V66I3P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 3 | Year 2020 | Article Id. IJMTT-V66I3P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I3P505

Fibonacci Sequence with Golden Ratio and Its Application

Pradip Kumar Sah, Akanksha Madhuri Raj, A.K. Sah

Citation :

Pradip Kumar Sah, Akanksha Madhuri Raj, A.K. Sah, "Fibonacci Sequence with Golden Ratio and Its Application," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 3, pp. 28-32, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I3P505

Abstract

In this paper the Fibonacci numbers are an interesting sequence of integers and related to the Golden Ratio and many of the natural things such as branching trees, the arrangement of leaves on a stem (phyllotaxis), the birth rates of rabbits and other natural phenomena, that shows up in many places in mathematics. The Fibonacci numbers play very important role in coding theory.

Keywords

Fibonacci numbers, Golden Ratio, Natural phenomena, Coding

References

[1] Sah, A.K., Sah, P.K. (2015): Application of Fibonacci numbers in Biological Science, International Journal of Applied Computational Science and Mathematics, Vol. 5(1), pp. 100-106.
[2] Burton, D. M. (2002) : Elementary number theory (5th ed.). New York: McGraw–Hill.
[3] Craw, I. (2002) : The Fibonacci sequence. Retrieved March 1, 2007, from http://www.maths.abdn.ac.uk/~igc/tch/ma 2001/notes/node31.html
[4] Knott, R. (2007a) : Fibonacci numbers and nature. Retrieved April 17, 2007, from http://www.mcs.surrey. ac.uk/Personal/ R.Knott/Fibonacci/fibnat.html.
[5] Knott, R. (2007b) : Fibonacci numbers and the golden section in art, architecture, and music. Retrieved April 20, 2007.
[6] Rosen, K. H. (1999) : Discrete mathematics and its applications (4th ed.). Boston : WCB/McGraw Hill.
[7] Sudipta, Sinha (2017) : The Fibonacci numbers and its applications. International Journal of Engineering Science Invention, Vol. 6 issue 9. pp. 07-14.
[8] Garg, M. Grag, P., Vohra, R.K. (2014) : Advanced Fibonacci sequence with Golden Ratio, International Journal of Scientific & Engineering Research, Vol. 5(6), 388-39.