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  2. In mathematics, a series is, roughly speaking, the operation of adding infinitely many quantities, one after the other, to a given starting quantity. The study of series is a major part of calculus and its generalization, mathematical analysis.
    en.wikipedia.org/wiki/Series_(mathematics)
    A series is the sequence of partial sums of another sequence. The sum of a series is the limit of the sequence of partial sums, if it exists. Just like you can write a sequence as (an) (a n), it may help to write the corresponding series as ∑an ∑ a n.
    math.stackexchange.com/questions/637542/what-i…
    Series In mathematics, the term series is typically used to describe an infinite series. An infinite series is the sum of an infinite sequence. Series can either converge or diverge. When a series converges, it is a single value, since it is the sum of an infinite sequence.
    www.math.net/series
    What exactly is a series? Actually, a series in math is simply the sum of the various numbers or elements of the sequence. For example, to make a series from the sequence of the first five positive integers 1, 2, 3, 4, 5 we will simply add them up. Therefore 1 + 2 + 3 + 4 + 5 is a series.
    www.toppr.com/guides/maths-formulas/series-form…
     
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    In mathematics, a series is, roughly speaking, the operation of adding infinitely many quantities, one after the other, to a given starting quantity. The study of series is a major part of calculus and its generalization, mathematical analysis. Series are used in most areas of mathematics, even for studying finite structures … See more

    An infinite series or simply a series is an infinite sum, represented by an infinite expression of the form
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    Partial summation takes as input a sequence, (an), and gives as output another sequence, (SN). It is thus a unary operation on … See more

    There exist many tests that can be used to determine whether particular series converge or diverge.
    n-th term test: If $${\textstyle \lim _{n\to \infty }a_{n}\neq 0}$$ See more

    • A geometric series is one where each successive term is produced by multiplying the previous term by a constant number (called the common … See more

    Series are classified not only by whether they converge or diverge, but also by the properties of the terms an (absolute or conditional convergence); type of convergence of the … See more

    A series of real- or complex-valued functions
    $${\displaystyle \sum _{n=0}^{\infty }f_{n}(x)}$$ See more

    Development of infinite series
    Greek mathematician Archimedes produced the first known summation of an infinite series with a … See more

     
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