Generalized arithmetic progression
A SET OF INTEGERS CONSTRUCTED AS AN ARITHMETIC PROGRESSION
Multiple arithmetic progression; Generalised arithmetic progression; Linear set; Semilinear set; Linear Set; Semilinear Set; Multidimensional arithmetic progression; Multi-dimensional arithmetic progression
In mathematics, a generalized arithmetic progression (or multiple arithmetic progression) is a generalization of an arithmetic progression equipped with multiple common differences – whereas an arithmetic progression is generated by a single common difference, a generalized arithmetic progression can be generated by multiple common differences. For example, the sequence 17, 20, 22, 23, 25, 26, 27, 28, 29, \dots is not an arithmetic progression, but is instead generated by starting with 17 and adding either 3 or 5, thus allowing multiple common differences to generate it.