Abstract

http://dx.doi.org/10.5902/2179460X14661This article intends to address in an elementary way the study of harmonic progressions. To this end, the usage of history of mathematics and problem solving strategies permeated the text. Several problems, some classics and other extracted from mathematical olympiads, were treated to show the wide applicability of this subject. In the end, the triangle of Leibniz and his relationship with the harmonic progressions is studied.

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