Progressão aritmética de ordem superior; outro olhar, outra abordagem

Abstract

This work, shows the concepts, of Ordinary Arithmetic Progressions, already well known in High School, and about Higher Order Arithmetic Progressions, however, it brings a new approach, with some new ideas to deal with old problems, these new tools, we believe, bring much more conditions of analysis and other methods of solving many problems. They will also allow analysis of the behavior of these progressions, increasing the field of options and expanding concepts. These, for simplicity, may well be better disseminated in High Schools, with the objective of spreading some more the use of these types of number sequences. We believe, the approach and the new views and tools presented here, may provide an incentive and conditions for High School students, for greater adventures in the field of Higher Order Arithmetic Progressions. We still leave new ideas for further studies.