sequence

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sequence

The Columbia Encyclopedia, Sixth Edition | 2008 | The Columbia Encyclopedia, Sixth Edition. Copyright 2008 Columbia University Press. (Hide copyright information) Copyright

sequence in mathematics, ordered set of mathematical quantities called terms. A sequence is said to be known if a formula can be given for any particular term using the preceding terms or using its position in the sequence. For example, the sequence 1, 1, 2, 3, 5, 8, 13, … (the Fibonacci sequence) is formed by adding any two consecutive terms to obtain the next term. The sequence - 1/2 , 1, 7/2 , 7, 23/2 , 17, … is formed according to the formula ( n2  - 2)/2 for the n th, or general, term. A sequence may be either finite, e.g., 1, 2, 3, … 50, a sequence of 50 terms, or infinite, e.g., 1, 2, 3, … , which has no final term and thus continues indefinitely. Special types of sequences are commonly called progressions . The terms of a sequence, when written as an indicated sum, form a series ; e.g., the sum of the sequence 1, 2, 3, … 50 is the series 1 + 2 + 3 + … + 50.

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sequencer

The Concise Oxford Dictionary of Music | 1996 | | © The Concise Oxford Dictionary of Music 1996, originally published by Oxford University Press 1996. (Hide copyright information) Copyright

sequencer. Elec. device enabling a succession of several sounds (together with modifications in each) to be pre-set.

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MICHAEL KENNEDY and JOYCE BOURNE. "sequencer." The Concise Oxford Dictionary of Music. 1996. Encyclopedia.com. 8 Dec. 2009 <http://www.encyclopedia.com>.

MICHAEL KENNEDY and JOYCE BOURNE. "sequencer." The Concise Oxford Dictionary of Music. 1996. Encyclopedia.com. (December 8, 2009). http://www.encyclopedia.com/doc/1O76-sequencer.html

MICHAEL KENNEDY and JOYCE BOURNE. "sequencer." The Concise Oxford Dictionary of Music. 1996. Retrieved December 08, 2009 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O76-sequencer.html

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Sequence

The Concise Oxford Dictionary of World Religions | 1997 | | © The Concise Oxford Dictionary of World Religions 1997, originally published by Oxford University Press 1997. (Hide copyright information) Copyright

Sequence. A hymn, usually in couplets, sung in the mass on certain days after the epistle. In medieval times a large number of sequences (c.150 melodies and 400 texts, with at least 5,000 having been written) were in regular use, but in the missal only five are now printed.

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JOHN BOWKER. "Sequence." The Concise Oxford Dictionary of World Religions. 1997. Encyclopedia.com. 8 Dec. 2009 <http://www.encyclopedia.com>.

JOHN BOWKER. "Sequence." The Concise Oxford Dictionary of World Religions. 1997. Encyclopedia.com. (December 8, 2009). http://www.encyclopedia.com/doc/1O101-Sequence.html

JOHN BOWKER. "Sequence." The Concise Oxford Dictionary of World Religions. 1997. Retrieved December 08, 2009 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O101-Sequence.html

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