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Article: sequence
- Article from:
- The Columbia Encyclopedia, Sixth Edition
CopyrightThe Columbia Encyclopedia, Sixth Edition. Copyright 2008 Columbia University Press. (Hide copyright information)
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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 (
n
2
- 2)/2 for the
n
th, ...
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Encyclopedia entry: Golden Section
The Columbia Encyclopedia, Sixth Edition;
473 words
... ... thinsp; b and c / b  =  b / a. Thus, b is the geometric ... For example, in the Fibonacci sequence (the sequence of numbers formed by adding successive ... 1, 1, 2, 3, 5, 8, 13, … ), the ...
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