Arithmetical progression
(gcide) | Progression \Pro*gres"sion\, n. [L. progressio: cf. F.
progression.]
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1. The act of moving forward; a proceeding in a course;
motion onward.
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2. Course; passage; lapse or process of time.
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I hope, in a short progression, you will be wholly
immerged in the delices and joys of religion.
--Evelyn.
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3. (Math.) Regular or proportional advance in increase or
decrease of numbers; continued proportion, arithmetical,
geometrical, or harmonic.
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4. (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.
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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.
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Geometrical progression, a progression in which the terms
increase or decrease by equal ratios, as the numbers
[lbrace2]2, 4, 8, 16, 32, 6464, 32, 16, 8, 4, 2[rbrace2]
by a continual multiplication or division by 2.
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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.
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