series (noun)

similar things placed in order or happening one after another

"they were investigating a series of bank robberies"

serial, series (noun)

a serialized set of programs

"a comedy series"; "the Masterworks concert series"

series, serial, serial publication (noun)

a periodical that appears at scheduled times

series (noun)

(sports) several contests played successively by the same teams

"the visiting team swept the series"

series (noun)

(electronics) connection of components in such a manner that current flows first through one and then through the other

"the voltage divider consisted of a series of fixed resistors"

series (noun)

a group of postage stamps having a common theme or a group of coins or currency selected as a group for study or collection

"the Post Office issued a series commemorating famous American entertainers"; "his coin collection included the complete series of Indian-head pennies"

series (noun)

(mathematics) the sum of a finite or infinite sequence of expressions

series (Noun)

A number of things that follow on one after the other or are connected one after the other.

series (Noun)

A television or radio program which consists of several episodes that are broadcast in regular intervals

series (Noun)

A group of episodes of a television or radio program broadcast in regular intervals with a long break between each group, usually with one year between the beginning of each.

series (Noun)

The sum of the terms of a sequence.

series (Noun)

A group of matches between two sides, with the aim being to win more matches than the opposition.

series (Noun)

An unranked taxon.

series (Adjective)

Connected one after the other in a circuit.

Series

A series is, informally speaking, the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely. In mathematics, given an infinite sequence of numbers { an }, a series is informally the result of adding all those terms together: a1 + a2 + a3 + · · ·. These can be written more compactly using the summation symbol ∑. An example is the famous series from Zeno's dichotomy and its mathematical representation: The terms of the series are often produced according to a certain rule, such as by a formula, or by an algorithm. As there are an infinite number of terms, this notion is often called an infinite series. Unlike finite summations, infinite series need tools from mathematical analysis, and specifically the notion of limits, to be fully understood and manipulated. In addition to their ubiquity in mathematics, infinite series are also widely used in other quantitative disciplines such as physics, computer science, and finance.