infinite series

(Mathematics) sequence of numbers containing an infinite number of terms

In mathematics, a series is often represented as the sum of a sequence of terms. That is, a series is represented as a list of numbers with addition operations between them, for example this arithmetic sequence:1 + 2 + 3 + 4 + 5 + ... + 99 + 100.In most cases of interest the terms of the sequence are produced according to a certain rule, such as by a formula, by an algorithm, by a sequence of measurements, or even by a random number generator.A series may be finite or infinite. Finite series may be handled with elementary algebra, but infinite series require tools from mathematical analysis if they are to be applied in anything more than a tentative way.
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infinite series /'infinit'siəri:z/
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