English

Fibonacci numbers and the golden ratio

History and Overview 2016-11-23 v1 Number Theory

Abstract

In this expository paper written to commemorate Fibonacci Day 2016, we discuss famous relations involving the Fibonacci sequence, the golden ratio, continued fractions and nested radicals, and show how these fit into a more general framework stemming from the quadratic formula.

Cite

@article{arxiv.1611.07384,
  title  = {Fibonacci numbers and the golden ratio},
  author = {Robert Schneider},
  journal= {arXiv preprint arXiv:1611.07384},
  year   = {2016}
}

Comments

6 pages, appropriate for undergraduate and advanced high school mathematics students

R2 v1 2026-06-22T17:01:00.904Z