Download PDFOpen PDF in browser
Switch back to the title and the abstract in Portuguese

Solved Problems on Sequences in the Training of High School Students for International Mathematical Olympiads

EasyChair Preprint no. 1125, version 3

Versions: 123history
124 pagesDate: July 30, 2019


The International Mathematical Olympiad (IMO) is a competition for high school students in which the number of participants has grown steadily over time. The goals of IMOs are to discover, stimulate and challenge talented students in Mathematics. The Brazilian delegation made its first appearance in 1979 and has improved performance over time. In this dissertation 26 problems that have been proposed for some of the IMO versions and which, in one way or another use sequences in their formulation, are presented and discussed in detail. The intention is that these can be used to train students preparing for international olympics. The material can also be used by university teachers and students. The problems appear organized in four chapters: Algebra, Number Theory, Combinatorics and Geometry. However, typically each problem uses knowledge linked to more than one area of mathematics. Within each chapter a section is dedicated to each problem and they are ordered by the year in which the IMO took place, from the most recent to the oldest. In several sections we first present an introduction to the key knowledge for solving the problem.

Keyphrases: algebra, combinatorics, geometry, high school education, International Mathematical Olympiad, number theory, problems solved, sequences, university teaching

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
  author = {Juan López Linares},
  title = {Solved Problems on Sequences in the Training of High School Students for International Mathematical Olympiads},
  howpublished = {EasyChair Preprint no. 1125},

  year = {EasyChair, 2019}}
Download PDFOpen PDF in browser