The Collaborative International Dictionary
Progression \Pro*gres"sion\, n. [L. progressio: cf. F. progression.]
The act of moving forward; a proceeding in a course; motion onward.
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Course; passage; lapse or process of time.
I hope, in a short progression, you will be wholly immerged in the delices and joys of religion.
--Evelyn. (Math.) Regular or proportional advance in increase or decrease of numbers; continued proportion, arithmetical, geometrical, or harmonic.
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(Mus.) A regular succession of tones or chords; the movement of the parts in harmony; the order of the modulations in a piece from key to key.
Arithmetical progression, a progression in which the terms increase or decrease by equal differences, as the numbers [lbrace2]2, 4, 6, 8, 1010, 8, 6, 4, 2[rbrace2] by the difference 2.
Geometrical progression, a progression in which the terms increase or decrease by equal ratios, as the numbers by a continual multiplication or division by 2.
Harmonic progression, a progression in which the terms are the reciprocals of quantities in arithmetical progression, as 1/2, 1/4, 1/6, 1/8, 1/10.
Arithmetical \Ar`ith*met"ic*al\, a. Of or pertaining to arithmetic; according to the rules or method of arithmetic.
Arithmetical complement of a logarithm. See Logarithm.
Arithmetical mean. See Mean.
Arithmetical progression. See Progression.
Arithmetical proportion. See Proportion.
Usage examples of "arithmetical progression".
Behold once more the confirming Series, 2, 4, 6: is not this an Arithmetical Progression?
His play had become wilder and wilder at each hole in arithmetical progression.
Certainly, the terror of a deserted house swells in geometrical rather than arithmetical progression as houses multiply to form a city of stark desolation.