Arithmetical progression

Arithmetical progression
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]


The Collaborative International Dictionary of English. 2000.

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  • arithmetical progression — or arithmetical sequence noun A series increasing or diminishing by a common difference, eg 7, 10, 13, 16, 19, 22, or 12, 101/2, 9, 71/2, 6 • • • Main Entry: ↑arithmetic * * * arithmetical progression or arithmetical series, a series of numbers… …   Useful english dictionary

  • Arithmetical progression — 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… …   The Collaborative International Dictionary of English

  • arithmetical progression — progress wherein terms (numbers) increase or decrease by equal differences (e.g. by the difference 2 2, 4, 6, 8, 10 or 10, 8, 6, 4, 2) …   English contemporary dictionary

  • arithmetical progression — /ˌærəθmɛtɪkəl prəˈgrɛʃən/ (say .aruhthmetikuhl pruh greshuhn) noun a sequence in which each term is obtained by the addition of a constant number to the preceding term. For example, 1, 4, 7, 10, 13, and 6, 1, 4, 9, 14. Also, arithmetic series …  

  • 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… …   The Collaborative International Dictionary of English

  • arithmetical series — (mathematics) A series progressing by constant difference • • • Main Entry: ↑series * * * arithmetical progression or arithmetical series, a series of numbers in which there is always the same difference, added or subtracted, between a number and …   Useful english dictionary

  • 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… …   The Collaborative International Dictionary of English

  • Arithmetical complement of a logarithm — 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… …   The Collaborative International Dictionary of English

  • Arithmetical mean — 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… …   The Collaborative International Dictionary of English

  • Arithmetical proportion — 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… …   The Collaborative International Dictionary of English

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