Theorizing About Numbers

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Hello mathematicians, puzzlers, and other curious people!

Today I have for you a number-generating procedure using a random number and some addition and subtraction.

  • Pick a number. (I picked 573 by squishing the keypad with my fingers.)
  • Add 1. (I get 574.)
  • Instead, subtract 1 from the number you started with. (I get 572.)
  • Now add up those three numbers. (573+574+572=1719.)

Do this several times and make a list of just the final results, not the numbers you add.

  • 1719
  • 75
  • 9
  • 201
  • etc.

Look for patterns in your list. Do you notice anything that they have in common? Once you notice something, try to decide whether what you\’ve noticed is reliable or a coincidence.

I\’ll let you know about mine once you\’ve had a while to work on this yourself.

Calc You Later!


Update: This post has a sequel in which I point out some patterns I saw, and put them to the test.


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