Fraction series tending to p/2
By Chris Park on Wednesday, September 26, 2001 - 06:02 am:

What is the value of Tn (nth term) of this sequence as n goes to infinity?



2
1
 , 2x2
1x3
 , 2x2x4
1x3x3
 , 2x2x4x4
1x3x3x5
 , 2x2x4x4x6
1x3x3x5x5
 , 2x2x4x4x6x6
1x3x3x5x5x7


Thank you! :)
By Arun Iyer on Thursday, September 27, 2001 - 08:06 pm:






lim
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 æ
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è 		2×2×4×4×6¼(2n)(2n)
1×3×3×5×5¼(2n-1)(2n-1)(2n+1)
 ö
÷
ø 		= p
2
This is called the Wallis formula.

love arun
By The Editor
This gives one way of calculating p.

It takes a while to converge, but it would be reasonably easy to set up a short program to do it.