arithmetical series


arithmetical series
arithmetical series (mathematics)
A series progressing by constant difference
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Main Entry:series

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arithmetical progression or arithmetical series,
a series of numbers in which there is always the same difference, added or subtracted, between a number and the one next after it. Examples: 2, 4, 6, 8, 10 is an arithmetical progression in which 2 is added to each number; 8, 5, 2, ―1, is an arithmetical progression in which 3 is subtracted from each number.

Useful english dictionary. 2012.

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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

  • Series — Se ries, n. [L. series, fr. serere, sertum, to join or bind together; cf. Gr. ??? to fasten, Skr. sarit thread. Cf. {Assert}, {Desert} a solitude, {Exert}, {Insert}, {Seraglio}.] 1. A number of things or events standing or succeeding in order,… …   The Collaborative International Dictionary of English

  • Arithmetical complement of a logarithm — Logarithm Log a*rithm (l[o^]g [.a]*r[i^][th] m), n. [Gr. lo gos word, account, proportion + ariqmo s number: cf. F. logarithme.] (Math.) One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550 1617), to abridge… …   The Collaborative International Dictionary of English

  • arithmetical sequence — 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 …   Useful english dictionary

  • series — n. (pl. same) 1 a number of things of which each is similar to the preceding or in which each successive pair are similarly related; a sequence, succession, order, row, or set. 2 a set of successive games between the same teams. 3 a set of… …   Useful english 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 …   Australian English dictionary

  • in series — Series Se ries, n. [L. series, fr. serere, sertum, to join or bind together; cf. Gr. ??? to fasten, Skr. sarit thread. Cf. {Assert}, {Desert} a solitude, {Exert}, {Insert}, {Seraglio}.] 1. A number of things or events standing or succeeding in… …   The Collaborative International Dictionary of English

  • Eisenstein series — This article describes holomorphic Eisenstein series; for the non holomorphic case see real analytic Eisenstein series In mathematics, Eisenstein series, named after German mathematician Gotthold Eisenstein, are particular modular forms with… …   Wikipedia

  • Bell series — In mathematics, the Bell series is a formal power series used to study properties of arithmetical functions. Bell series were introduced and developed by Eric Temple Bell.Given an arithmetic function f and a prime p, define the formal power… …   Wikipedia

  • cohort — Series Se ries, n. [L. series, fr. serere, sertum, to join or bind together; cf. Gr. ??? to fasten, Skr. sarit thread. Cf. {Assert}, {Desert} a solitude, {Exert}, {Insert}, {Seraglio}.] 1. A number of things or events standing or succeeding in… …   The Collaborative International Dictionary of English