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  2. 1, 2, 3, 4 (Plain White T's song) - Wikipedia

    en.wikipedia.org/wiki/1,_2,_3,_4_(Plain_White_T's...

    The music video for the song premiered on the MySpace main page January 16, 2009 [3] and was subsequently released on MTV, MTVU, VH1, Fuse, Music Choice and YouTube. [4] [5] [6] It found success on the weekly VH1 Top 20 Video Countdown, charting over five months straight between January and May, peaking at #5. It was listed on the VH1 Top 40 ...

  3. 1/2 − 1/4 + 1/8 − 1/16 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1/2_%E2%88%92_1/4_%2B_1/8...

    Pairing up the terms of the series 1 / 21 / 4 + 1 / 81 / 16 + ⋯ results in another geometric series with the same sum, 1 / 4 + 1 / 16 + 1 / 64 + 1 / 256 + ⋯. This series is one of the first to be summed in the history of mathematics; it was used by Archimedes circa 250–200 BC. The Euler transform of the divergent series 12 ...

  4. 1 + 2 + 3 + 4 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

    The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...

  5. 1/2 + 1/4 + 1/8 + 1/16 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/...

    1/2 + 1/4 + 1/8 + 1/16 + ⋯. First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series ⁠ 1 2 ⁠ + ⁠ 1 4 ⁠ + ⁠ 1 8 ⁠ + ⁠ 1 16 ⁠ + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation ...

  6. 1 − 2 + 3 − 4 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%E2%88%92_2_%2B_3_%E2%88...

    The idea becomes clearer by considering the general series 1 − 2x + 3x 2 − 4x 3 + 5x 4 − 6x 5 + &c. that arises while expanding the expression 1 ⁄ (1+x) 2, which this series is indeed equal to after we set x = 1.

  7. One, Two, Three, Four, Five - Wikipedia

    en.wikipedia.org/wiki/One,_Two,_Three,_Four,_Five

    Illustration of the poem from the 1901 Book of Nursery Rhymes. This is one of many counting-out rhymes. It was first recorded in Mother Goose's Melody around 1765. Like most versions until the late 19th century, it had only the first stanza and dealt with a hare, not a fish, with the words:

  8. 1, 2, 3, 4 (Sumpin' New) - Wikipedia

    en.wikipedia.org/wiki/1,_2,_3,_4_(Sumpin'_New)

    Larry Flick from Billboard described the song as "a jumpy, funk-lined jeep anthem that allows Coolio plenty of room to work up a fun, lyrical sweat."He added, "The sample-happy groove provides a wigglin' good time, riding primarily on a prominent snippet of the early '80s 12-incher "Wikka Wrap" by the Evasions.

  9. 1 + 2 + 4 + 8 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_4_%2B_8_%2B_%E...

    In mathematics, 1 + 2 + 4 + 8 + ⋯ is the infinite series whose terms are the successive powers of two. As a geometric series, it is characterized by its first term, 1, and its common ratio, 2. As a series of real numbers it diverges to infinity, so the sum of this series is infinity. However, it can be manipulated to yield a number of ...

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