arithmetical progression

Webster's Dictionary (GCIDE)

Progression \Pro*gres"sion\, n. [L. progressio: cf. F. progression.] [1913 Webster]

1.The act of moving forward; a proceeding in a course; motion onward. [1913 Webster]

2.Course; passage; lapse or process of time. [1913 Webster]

I hope, in a short progression, you will be wholly immerged in the delices and joys of religion.— Evelyn.[1913 Webster]

3.(Math.) Regular or proportional advance in increase or decrease of numbers; continued proportion, arithmetical, geometrical, or harmonic. [1913 Webster]

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. [1913 Webster]

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. [1913 Webster]

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. [1913 Webster]

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. [1913 Webster]

Arithmetical \Ar`ith*met"ic*al\, a. Of or pertaining to arithmetic; according to the rules or method of arithmetic. [1913 Webster]

Arithmetical complement of a logarithm. See Logarithm.

Arithmetical mean. See Mean.

Arithmetical progression. See Progression.

Arithmetical proportion. See Proportion. [1913 Webster]