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A fantástica sequência de Fibonacci e o enigmático número de ouro: contexto histórico, definições, propriedades e aplicações

2020; Lázaro, C. and Rodrigues, T.; Volume: 18; Issue: IC Linguagem: Inglês

10.21167/cqdvol18ic202023169664grlsrlsa7788

2316-9664

Reginaldo Leoncio Silva, Roger Luiz da Silva Almeida,

Mathematics and Applications

The content on Fibonacci numbers and golden ratio is a very rich opportunity for the teacher to work on the connection between mathematics and everyday life.Thus, in this work we will talk about these subjects and highlight their practical applications.We will start by talking a little about the historical context, highlighting aspects of Fibonacci's life and his works, then we will approach the formal study of its sequence, defining it and highlighting some of its main properties.Then, we will approach the gold number with its definition and a little of the historical context.Then we will talk about the golden rectangle and the golden spiral.Next, we will show you some curiosities from that issue and highlight its beautiful relationship with the Fibonacci sequence.Finally, we will highlight some applications of such a sequence and the golden number