Relações e aplicações dos números de Fibonacci

Abstract

The Fibonacci sequence arose from the solution to the problem of how rabbits reproduced numerically. Also known as Fibonacci numbers, this sequence of numbers has several applications, both in the area of mathematics and also in art, nature and architecture. This work aims to provide a theoretical approach to the relationships and some of the different forms of application of the Fibonacci number. The article begins with a brief account of the life and works of Leonardo de Fibonacci, with emphasis on his main work, Liber Abaci. Next, the formal definition, examples, relationship with the golden number, relationship with Pascal's triangle and its applications in the school environment will be discussed