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Document from the year 2018 in the subject Mathematics - Algebra, University of Chittagong, language: English, abstract: We are familiar with series in high school algebra. Here I introduce a more extensive series with manner due to arithmetic series. The series proposed here have two constant parameters, the number of terms N and its step M. It is a finite series of two constant parameters. In this paper I develop 9 theorems to cover this paper and 4 combination rules established as theorems.