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Topic: Number sequence (Read 584 times) |
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Munchkin
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Not too sure if it's been posted before, but here goes:
What's the next number in the sequence?
0, 0, 1, 0, 0, 4, 2, 4, 1, 0, 1, 4
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K Sengupta
Senior Riddler
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Posts: 371
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Re: Number sequence
« Reply #1 on: Jun 20th, 2007, 10:29am » |
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Let the pth term of the sequence be S(p).
Then, S(p) = p*(100/p - [100/p]) where [n] = greatest integer < = n
In other words, S(p) is equal to the remainder when 100 is divided by p
Thus,
S(1) = 0;; S(2) = 0; S(3) = 1; …., and so on
Now, S(13) = 9, and consequently:
The required next number of the sequence is 9.
Reference:
http://www.research.att.com/~njas/sequences/?q=0%2C+0%2C+1%2C+0%2C+0%2C+ 4%2C+2%2C+4%2C+1%2C+0%2C+1%2C+4&language=english&go=Search
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| « Last Edit: Jun 20th, 2007, 10:38am by K Sengupta » |
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