Visualizing the Newtons Fractal from the Recurring Linear Sequence with Google Colab: An Example of Brazil X Portugal Research
Francisco Regis Vieira Alves 1 * , Renata Passos Machado Vieira 2, Paula Maria Machado Cruz Catarino 3
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1 Federal Institute of Science and Technology of Ceara, BRAZIL2 Federal Institute of Education, Science and Technology, Fortaleza, BRAZIL3 UTAD - University of Trás-os-Montes and Alto Douro, PORTUGAL* Corresponding Author


In this work, recurrent and linear sequences are studied, exploring the teaching of these numbers with the aid of a computational resource, known as Google Colab. Initially, a brief historical exploration inherent to these sequences is carried out, as well as the construction of the characteristic equation of each one. Thus, their respective roots will be investigated and analyzed, through fractal theory based on Newton's method. For that, Google Colab is used as a technological tool, collaborating to teach Fibonacci, Lucas, Mersenne, Oresme, Jacobsthal, Pell, Leonardo, Padovan, Perrin and Narayana sequences in Brazil and Portugal. It is also possible to notice the similarity of some of these sequences, in addition to relating them with some figures present and their corresponding visualization.


This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, Volume 15, Issue 3, October 2020, Article No: em0594

Publication date: 17 May 2020

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