Leibniz Approximation of pi

Version 1.3.0.0 (6.81 KB) by Ben Nuttall
This program computes the decimal places of pi using Leibniz's formula. Watch them converge!
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Updated 13 Apr 2011

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pi/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 ...

The program performs this computation and prints the approximation after every iteration, so you can see the decimal places converging one by one.

There are three programs, each more efficient and accurate. The final program uses an averaging method to find a much better approximation after every 2 iterations.

Now includes visualisations of convergence

Cite As

Ben Nuttall (2024). Leibniz Approximation of pi (https://www.mathworks.com/matlabcentral/fileexchange/29554-leibniz-approximation-of-pi), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2008b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
1.3.0.0

Added variations of original program including visualisations of convergence
1.1.0.0

Now includes visualisation of convergence.
1.0.0.0