Banca de DEFESA: ARQUIMEDES ALBUQUERQUE MOURA

A TEACHING PROPOSAL FOR TEACHING MATRIZES USING JACOBSTHAL NUMBERS

Jacobsthal Sequence. Jacobsthal Matrices. Matrices.

This work presents an approach on the Jacobsthal Sequence, its properties and applications. In this sense, solving a problem with essential issues, such as the Infinite Induction Principle, Sequences, Recurrences and Matrices. That done, we formally define a Jacobsthal Sequence to later show some types of generalizations of that sequence. Next, we present the Jacobsthal Matrix and show a specific generalization that allows us to relate to the Jacobsthal Numbers using a matrix that we denote by Fs. Finally, we present a
didactic sequence proposal based on the Zabala Sequence for the study of matrices using the Jacobsthal matrices.