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Loops in PI (Posted on 2012-04-15) Difficulty: 1 of 5
Loop Sequences within Pi (FOUND ON THE WEB):

Dan Sikorski pointed out an interesting loop sequence within the decimal expansion of Pi.
If you search for 169, it appears at position 40. If you then search for 40, it appears at position 70. Search for 70, ... and so on.
The sequence Dan found is: 40, 70, 96, 180, 3664, 24717, 15492, 84198, 65489, 3725, 16974, 41702, 3788, 5757, 1958, 14609, 62892, 44745, 9385, 169, 40...

My remark: the position is counted from the decimal point e.g. the string "1592" is located at position 3.

Prove: Not all number strings will loop.

  Submitted by Ady TZIDON    
Rating: 4.5000 (2 votes)
Solution: (Hide)
To prove is enough to show a string that does not loop , like 14 or 93. 93>14==>1==>1==>1 etc

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionEasy solutionMath Man2012-05-27 21:28:20
re(2): a different way YOU ARE RIGHTbroll2012-04-16 08:44:47
Some Thoughtsre: a different way YOU ARE RIGHTAdy TZIDON2012-04-16 02:03:35
a different waybroll2012-04-16 00:49:59
SolutionFor example ... (spoiler, and extra credit)Steve Herman2012-04-15 17:51:52
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