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# Re: how to compute pi by using continued fraction?
Jing S Chen wrote:
>
> Hello:
> I'm a student of City College of San Francisco. Right now, I have a
> project that I've been working on at least 4 days. Yet I still have no
> idea at all.
> The purpose of the project is to compute pi by using continued
> fraction. Here is the formula.
>
> pi = 3 + ( 1 / ( 7 + ( 1 / ( 7 + ( 1 / ( .... 1 / 7)
>
> that means
> 1
> pi = 3 + -----------
> 7 + / 1 \
> ( ------ )
> \ 7 + /
> .......
> 1
> + ----
> 7
>
> Is here any one who has a program that can follow the above formula and
> can generate pi?
>
> Jing S. Chen
> e-mail: jchen06@hills.ccsf.cc.ca.us
Jing:
You are computing the continued fraction <3,7,7,7,...> which is NOT
equal to Pi. If fact any cf that is periodic like has the form a + b
Sqrt[c]. The continued fraction representation of pi is <3,7,15,1...>
and has no pattern. The NumberTheory`ContinuedFraction.m package will
compute the representation to many terms.
Ken Levasseur
UMass Lowell
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