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Who Ordered the Pi? (Posted on 2003-04-21) Difficulty: 4 of 5
What is the next number in this sequence?

1, 4, 9, 16, 25, pi

The sequence is not arbitrary. Create a mathematical function that generates this sequence.

  Submitted by Bryan    
Rating: 1.7778 (9 votes)
Solution: (Hide)
Like most questions (in life, as in Flooble-space), there is more than one possible answer. One solution is to define the nth term of this sequence as

n^2 + (pi-36)(n-1)(n-2)(n-3)(n-4)(n-5)/5!

For n=1 to 5, the second term equals zero.
For n=6, the expression simplifies to 36 + (pi-36)*5!/5! = pi.
The next term in this sequence (n=7) is

36 + (pi-36)6!/5! = 6*pi - 180

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAlternative MethodologyK Sengupta2008-04-02 05:54:31
Some Thoughtsre: The 5th degree vs. The interrupted sequenceK Sengupta2008-03-31 14:58:22
Some Thoughtsre: Word problem???K Sengupta2008-03-31 13:49:42
SolutioneasyKatie2004-01-03 14:24:37
Solutioneasyseth2003-12-27 00:46:26
re: Word problem???Ahmed2003-04-24 02:02:49
re: Word problem???Bryan2003-04-22 05:03:54
Solutionre: Word problem??? - maths bitfwaff2003-04-21 22:29:44
Some ThoughtsWord problem???fwaff2003-04-21 22:00:33
as Arsenio Hall said....jude2003-04-21 09:48:56
The 5th degree vs. The interrupted sequenceBrian Smith2003-04-21 05:52:35
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