Recorrências e algumas aplicações em problemas de contagem

• Ano de defesa: 2020
• Autor(a) principal: SILVA, Paulo Roberto Rêgo da
• Orientador(a): CARVALHO, Renata de Farias Limeira
• Banca de defesa: CARVALHO, Renata de Farias Limeira , SPINDOLA, Flausino Lucas Neves , MOREIRA NETO, Sandra Imaculada
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal do Maranhão
• Programa de Pós-Graduação: PROGRAMA DE PÓS-GRADUAÇÃO EM REDE - MATEMÁTICA EM REDE NACIONAL/CCET
• Departamento: DEPARTAMENTO DE MATEMÁTICA/CCET
• País: Brasil
• Palavras-chave em Português: Problemas de contagem; Raciocínio recursivo; Recorrência matemática
• Palavras-chave em Inglês: Counting problems; Recursive reasoning; Mathematical recurrence
• Área do conhecimento CNPq: Matemática
• Link de acesso: https://tedebc.ufma.br/jspui/handle/tede/3241

Many mathematical problems, in which it is necessary to count certain elements, present themselves in situations that are difficult to solve. We present in this work an alternative way to solve some counting problems that can help to overcome these difficulties. The proposed form addresses a recursive reasoning called mathematical recurrence or, simply, recurrence. This recursive thinking is presented superficially in High School of Basic Education. We will show here some questions that address counting problems and that may seem difficult to be solved at first sight, but that through the perception of a recurrence relationship in the proposed problem, the solution can be easily found. Thus, our main objective is to provide another mathematical tool that will, in some situations, complement the learning about Combinatorial Analysis events, in particular, the counting of certain elements.