Abstract
An infinite sequence of numbers (hereafter briefly sequence of numbers) is an infinite system of numbers a 1, a 2, …, a n , … or briefly {a n } with n = 1, 2, …, arranged in a given order. The numbers of the sequence of numbers are called the terms of the sequence. Among the terms of a sequence of numbers the same numbers can occur several times. A sequence is considered to be defined if the law of formation, i.e., a rule is given, by which any term of the sequence can be uniquely determined. Mostly there is a formula for the general term a n .
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© 2015 Springer-Verlag Berlin Heidelberg
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Bronshtein, I.N., Semendyayev, K.A., Musiol, G., Mühlig, H. (2015). Infinite Series. In: Handbook of Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46221-8_7
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DOI: https://doi.org/10.1007/978-3-662-46221-8_7
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