A sequence of integers constructed as an arithmetic progression
Also known as linear set · multiple arithmetic progression · multidimensional arithmetic progression
2 identifiers linking generalized arithmetic progression across the web's reference databases
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In mathematics, a generalized 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 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. A semilinear set generalizes this idea to multiple dimensions – it is a set of vectors of integers, rather than a set of integers.