Title of article
Visualizing the Newtons Fractal from the Recurring Linear Sequence with Google Colab: An Example of Brazil X Portugal Research
Author/Authors
alves, francisco regis vieira federal institute of science and technology of ceara, BRAZIL , vieira, renata passos machado federal institute of education, science and technology, Fortaleza, BRAZIL , catarino, paula maria machado cruz university of trás-os-montes and alto douro (utad ), PORTUGAL
From page
1
To page
19
Abstract
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.
Keywords
teaching , characteristic equation , fractal , Google Colab , Newton s method , sequences
Journal title
international electronic journal of mathematical education
Journal title
international electronic journal of mathematical education
Record number
2750755
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