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  2. Geometric progression - Wikipedia

    en.wikipedia.org/wiki/Geometric_progression

    Examples of a geometric sequence are powers r k of a fixed non-zero number r, such as 2 k and 3 k. The general form of a geometric sequence is , , , , , … where r is the common ratio and a is the initial value. The sum of a geometric progression's terms is called a geometric series.

  3. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    An infinite series of any rational function of can be reduced to a finite series of polygamma functions, by use of partial fraction decomposition, [8] as explained here. This fact can also be applied to finite series of rational functions, allowing the result to be computed in constant time even when the series contains a large number of terms.

  4. Geometric series - Wikipedia

    en.wikipedia.org/wiki/Geometric_series

    The geometric series is an infinite series derived from a special type of sequence called a geometric progression.This means that it is the sum of infinitely many terms of geometric progression: starting from the initial term , and the next one being the initial term multiplied by a constant number known as the common ratio .

  5. Arithmetico-geometric sequence - Wikipedia

    en.wikipedia.org/wiki/Arithmetico-geometric_sequence

    An arithmetico-geometric series is a sum of terms that are the elements of an arithmetico-geometric sequence. Arithmetico-geometric sequences and series arise in various applications, such as the computation of expected values in probability theory , especially in Bernoulli processes .

  6. Category:Geometric series - Wikipedia

    en.wikipedia.org/wiki/Category:Geometric_series

    Download as PDF; Printable version; ... Arithmetico-geometric sequence; D. Divergent geometric series; G. Grandi's series; Template:Grandi's series ...

  7. Category:Mathematical series - Wikipedia

    en.wikipedia.org/wiki/Category:Mathematical_series

    Download as PDF; Printable version; ... Geometric series (1 C, 11 P) Grandi's series ... Arctangent series; Arithmetico-geometric sequence;

  8. Series (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Series_(mathematics)

    The infinite sequence of additions expressed by a series cannot be explicitly performed in sequence in a finite amount of time. However, if the terms and their finite sums belong to a set that has limits, it may be possible to assign a value to a series, called the sum of the series.

  9. Category:Sequences and series - Wikipedia

    en.wikipedia.org/wiki/Category:Sequences_and_series

    In mathematics, a sequence is a list of objects (or events) which have been ordered in a sequential fashion; such that each member either comes before, or after, every other member. More formally, a sequence is a function with a domain equal to the set of positive integers. A series is a sum of a sequence of terms. That is, a series is a list ...

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