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arithmetical progression

算術級數 AP

Pro·gres·sion n.

1. The act of moving forward; a proceeding in a course; motion onward.

2. 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.*

3. Math. Regular or proportional advance in increase or decrease of numbers; continued proportion, arithmetical, geometrical, or harmonic.

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.

**Arithmetical progression**, a progression in which the terms increase or decrease by equal differences, as the numbers

**Geometrical progression**, a progression in which the terms increase or decrease by equal ratios, as the numbers

-- **Harmonic progression**, a progression in which the terms are the reciprocals of quantities in arithmetical progression, as ½, ¼, ⅙, ⅛, ¹/₁₀.

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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.

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