Pie value continuation

10 hours ago, GVENKATESH said:

Pie value continuation

How are you continuing anything as a new member and this is your only post ?

Anyway welcome, what you say is true and you have provided an interesting diagram.

But what it does not show is just how slow the convergence is for this method of calculating Pi.

Here is a spreadsheet of the series.

It takes 16 terms to confirm the first digit alone ( the 3).

It takes 34 terms to confirm the second digit (so 3.1)

And I only worked out the first 200 terms but it had still not confirmed the third digit (3.14)

Many otherwise promising methods have this problem.

 

9 minutes ago, studiot said:

And I only worked out the first 200 terms but it had still not confirmed the third digit (3.14)

Yes, the Leibniz series is known to converge extremely slowly. Fun beginning programming project.

 

9 minutes ago, studiot said:

How are you continuing anything as a new member and this is your only post ?

 

I think he was continuing the series, not any previous conversation.

 

Edited July 10, 20214 yr by wtf

The standard transliteration for "[tex]\pi[/tex]" is "pi", not "pie".

If anyone else is interested in studying (playing with) the convergence of the series you are welcome to the actual Excel spreadsheet.
It is easy enough to extend to many more terms than 200.