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  2. Geometric series - Wikipedia

    en.wikipedia.org/wiki/Geometric_series

    The geometric series 1/4 + 1/16 + 1/64 + 1/256 + ... shown as areas of purple squares. Each of the purple squares has 1/4 of the area of the next larger square (1/2× 1/2 = 1/4, 1/4×1/4 = 1/16, etc.). The sum of the areas of the purple squares is one third of the area of the large square. Another geometric series (coefficient a = 4/9 and ...

  3. 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 ...

  4. 1 − 2 + 4 − 8 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%E2%88%92_2_%2B_4_%E2%88...

    1 − 2 + 48 + ⋯. In mathematics, 1 − 2 + 48 + ⋯ is the infinite series whose terms are the successive powers of two with alternating signs. 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. So in the usual sense it has no sum.

  5. Tourniquets 101: Everything You Need To Know for ... - AOL

    www.aol.com/tourniquets-101-everything-know...

    When To Not Use a Tourniquet. A tourniquet is an emergency device used to stop life-threatening bleeding that cannot otherwise be stopped. You should avoid using a tourniquet if: You can stop the ...

  6. Justice Kagan says there needs to be a way to enforce ... - AOL

    www.aol.com/news/justice-kagan-says-needs-way...

    July 25, 2024 at 8:15 PM. SACRAMENTO, Calif. (AP) — Justice Elena Kagan on Thursday became the first member of the U.S. Supreme Court to call publicly for beefing up its new ethics code by ...

  7. Olympics closing ceremony 2024: Everything you need to know ...

    www.aol.com/news/olympic-closing-ceremony-2024...

    The closing ceremony will be held on Sunday. NBC will air a live preshow at 2 p.m. ET, which will include a recap of some of the most unforgettable moments from this year’s Olympics. The actual ...

  8. 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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