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You can't have your cake and eat it too. (Posted on 2004-04-14) Difficulty: 3 of 5
What are the next 4 digits in the sequence:

1 4 5 9 0 5 4 6 2 7 0

See The Solution Submitted by SilverKnight    
Rating: 3.4000 (5 votes)

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Solution Solution | Comment 2 of 9 |

5329

Take the original sequence:  1 4 5 9 0 5 4 6 2 7 0

Whenever there is a decrease in the magnitude, add 10:

1 4 5 9 10 15 24 26 32 37 40

Now take the difference of the n+1 th term minus the n th
3 1 4 1 5 9 2 6 5 3

Fortunately, I have PI memorized to 30 places:

3.14159265358979323846264338327950288  or something like that

Anyway, the next few terms of PI are  5897
so adding term by term gives us:
1 4 5 9 10 15 24 26 32 37 40 45 53 62 69
stripping off the 1st digit gives us:
1 4 5 9 0 5 4 6 2 7 0 5 3 2 9

Unless you consider that circular logic. 

Edited on April 14, 2004, 8:03 pm
  Posted by Larry on 2004-04-14 20:00:32

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