A SOLUTION TO THE JOSEPHOS’ PROBLEM

Márcia Erondina Souza da Silva, Luciane Gobbi Tonet

Abstract


http://dx.doi.org/10.5902/2179460X14613

In this paper, we present a didactic sequence of activities designed for a group of high school students, aged 15-18 years. Our main objective is to study a problem proposed by the mathematician Josephus, around the year 64. Initially, we review some content like numerical sequences, including the special cases of the Arithmetic and Geometric Progressions. Then, we introduce some notions about Recurrence Relations and the Principle of Mathematical Induction, allowing the generalization of some concepts and results which are already known intuitively by the group of students. This article is part of the dissertation entitled A Proposed Approach to Josephus Problem Applied to High School prepared by the student Erondina Marcia D. S. da Silva under the guidance of the Professor Dr. Gobbi Luciane Tonet.


Keywords


Problema de Flávio Josefo, Relações de Recorrência, Princípio da Indução Matemática



DOI: http://dx.doi.org/10.5902/2179460X14613

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