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  2. Arithmetico-geometric sequence - Wikipedia

    en.wikipedia.org/wiki/Arithmetico-geometric_sequence

    is the sum of an arithmetico-geometric series defined by = =, =, and =, and it converges to =. This sequence corresponds to the expected number of coin tosses required to obtain "tails". The probability T k {\displaystyle T_{k}} of obtaining tails for the first time at the k th toss is as follows:

  3. Geometric progression - Wikipedia

    en.wikipedia.org/wiki/Geometric_progression

    The first block is a unit block and the dashed line represents the infinite sum of the sequence, a number that it will forever approach but never touch: 2, 3/2, and 4/3 respectively. A geometric progression , also known as a geometric sequence , is a mathematical sequence of non-zero numbers where each term after the first is found by ...

  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. Anion gap - Wikipedia

    en.wikipedia.org/wiki/Anion_gap

    Different labs use different formulas and procedures to calculate the anion gap, so the reference range (or "normal" range) from one lab isn't directly interchangeable with the range from another. The reference range provided by the particular lab that performed the testing should always be used to interpret the results. [ 3 ]

  6. Summation by parts - Wikipedia

    en.wikipedia.org/wiki/Summation_by_parts

    It may be used to prove Nicomachus's theorem that the sum of the first cubes equals the square of the sum of the first positive integers. [2] Summation by parts is frequently used to prove Abel's theorem and Dirichlet's test.

  7. Can Microneedling Actually Prevent Hair Loss? - AOL

    www.aol.com/microneedling-actually-prevent-hair...

    Hair loss in men is common, and a quick Google search reveals all sorts of options for reducing and reversing thinning hair — topical minoxidil, hair transplant surgery, serums, and even ...

  8. Sums of powers - Wikipedia

    en.wikipedia.org/wiki/Sums_of_powers

    In mathematics and statistics, sums of powers occur in a number of contexts: . Sums of squares arise in many contexts. For example, in geometry, the Pythagorean theorem involves the sum of two squares; in number theory, there are Legendre's three-square theorem and Jacobi's four-square theorem; and in statistics, the analysis of variance involves summing the squares of quantities.

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