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Formula for ? - It's National Pi Day 3/14

  • 1.  Formula for ? - It's National Pi Day 3/14

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    Contributor
    Posted 03-14-2018 11:05
    It is my favorite day of the year - National Pi Day.

    Everybody is getting in on the fun including Google and QuickBase.

    Today Is the 30th Anniversary of Pi Day
    Here's What to Know About the Mathematical Holiday
    http://time.com/5198663/google-doodle-pi-day-30-anniversary/

    To celebrate here is my QuickBase formula for ? from the 15th century (Nilakantha):
    3 +
    4 * (
      1 / ( 2 *  3 *  4) -  
      1 / ( 4 *  5 *  6) + 
      1 / ( 6 *  7 *  8) - 
      1 / ( 8 *  9 * 10) + 
      1 / (10 * 11 * 12) - 
      1 / (12 * 13 * 14) + 
      1 / (14 * 15 * 16) -
      1 / (16 * 17 * 18) +
      1 / (18 * 19 * 20) -
      1 / (20 * 21 * 22) +
      1 / (22 * 23 * 24) -
      1 / (24 * 25 * 26)
    )
    Which evaluates to : 3.1414796890043

    Not too shabby and certainly beats memorizing all those digits.


  • 2.  RE: Formula for � - It's National Pi Day 3/14

    Posted 03-14-2018 11:08
    Very elegant formula and incredible that it was done in the 15th century.


  • 3.  RE: Formula for � - It's National Pi Day 3/14

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    Contributor
    Posted 03-14-2018 11:10
    And it is 100% native!


  • 4.  RE: Formula for � - It's National Pi Day 3/14

    Posted 03-14-2018 11:13
    Nice � in your subject line btw. It is difficult to find that character on my iPad during breakfast.