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Related to arithmetic progression: geometric progression, harmonic progression
See: accession, advance, advancement, arrangement, array, boom, chain, civilization, continuity, cycle, enlargement, gamut, headway, hierarchy, improvement, increase, manner, order, progress, promotion, prosperity, reform, sequence, serial, step, succession, way

PROGRESSION. That state of a business which is neither the commencement nor the end. Some act done after the matter has commenced and before it is completed. Plowd. 343. Vide Consummation; Inception.

References in periodicals archive ?
Now, Dubner and Nelson are thinking about taking the next step: going to eight consecutive primes in arithmetic progression.
Then the arithmetic progression a + bt is prime for infinitely many values of t.
Montgomery, Primes in arithmetic progressions, Mich.
Just in case you thought that magic squares were just amusing diversions and had no relevance to any other areas of mathematics, this very problem (construction of a 3 by 3 magic square all of whose entries are squares) has been shown to be highly relevant to problems in various domains, including arithmetic progressions, Pythagorean triangles, and elliptic curves.