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  2. 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 ...

  3. Arithmetico-geometric sequence - Wikipedia

    en.wikipedia.org/wiki/Arithmetico-geometric_sequence

    is an arithmetico-geometric sequence. The arithmetic component appears in the numerator (in blue), and the geometric one in the denominator (in green). The series summation of the infinite elements of this sequence has been called Gabriel's staircase and it has a value of 2. [2] [3] In general,

  4. Arithmetic progression - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_progression

    For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2. If the initial term of an arithmetic progression is and the common difference of successive members is , then the -th term of the sequence is given by

  5. Geometric series - Wikipedia

    en.wikipedia.org/wiki/Geometric_series

    In mathematics, a geometric series is a series summing the terms of an infinite geometric sequence, in which the ratio of consecutive terms is constant.For example, the series + + + is a geometric series with common ratio ⁠ ⁠, which converges to the sum of ⁠ ⁠.

  6. Lazy caterer's sequence - Wikipedia

    en.wikipedia.org/wiki/Lazy_caterer's_sequence

    The maximum number of pieces from consecutive cuts are the numbers in the Lazy Caterer's Sequence. When a circle is cut n times to produce the maximum number of pieces, represented as p = f (n), the n th cut must be considered; the number of pieces before the last cut is f (n − 1), while the number of pieces added by the last cut is n.

  7. Boeing’s terrible year is ending with the worst aviation ...

    www.aol.com/boeing-terrible-ending-worst...

    Boeing’s stock plunged by about a third this year, after closing down more than 2% on Monday following the crash. Its ... The 737 Max has had numerous problems, including fatal crashes in 2018 ...

  8. Recurrence relation - Wikipedia

    en.wikipedia.org/wiki/Recurrence_relation

    In mathematics, a recurrence relation is an equation according to which the th term of a sequence of numbers is equal to some combination of the previous terms. Often, only k {\displaystyle k} previous terms of the sequence appear in the equation, for a parameter k {\displaystyle k} that is independent of n {\displaystyle n} ; this number k ...

  9. Pregnant Woman Reportedly Stabbed 14 Times by Pizza Delivery ...

    www.aol.com/pregnant-woman-reportedly-stabbed-14...

    The outlet quoted an arrest affidavit as stating that she was stabbed 14 times by Alvelo after she gave her a $2 tip for delivering the pizza. She suffered a ruptured lung and wounds to her chest ...