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

  • March 14, 2018
  • 0 replies
  • 17 views

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.
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Very elegant formula and incredible that it was done in the 15th century.