Problem 953. Pi Estimate 1

Created by Ed Hall

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<div style = "text-align: start; line-height: 20px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; "><div style="display: block; min-width: 0px; padding-top: 0px; transform-origin: 332px 25.5px; vertical-align: baseline; perspective-origin: 332px 25.5px; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; "><span style="">Estimate Pi as described by the Leibniz formula (see the following link):</span></span></div><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><a target='_blank' href = "https://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80"><span style=""><span style="">https://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80</span></span></a></div></div></div>

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1415 Solutions
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Last Solution submitted on Oct 20, 2020

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tiwag7 on 8 Oct 2019

please update the link to the document, cant find it anymore

Daniel Montag on 30 Oct 2019

The link is broken, but you can solve this problem with the Leibniz formula for π.

Adam Jelínek on 2 Dec 2019

The principle is described here: https://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80

Paul Derwin on 4 May 2020

@Jordan Wilkerson change the number format and round to significant digits shown in test code

Jordan Wilkerson on 4 May 2020

@Paul Derwin
Oh right, duh. I should've thought of that haha. That worked! I deleted my last comment since it basically was a solution after all. Thanks for your help!

Rafael S.T. Vieira on 12 Jul 2020

Leibniz formula, precision 1e-6.

Anoop V S on 3 Oct 2020 at 7:22

please update the link.

goc3 on 3 Oct 2020 at 14:08

The description has been updated per the link provided in a prior comment.

Sajjad Hossain on 4 Oct 2020 at 16:07

function [estimate] = pi_est1(nMax)
estimate=0;
for i=1:(nMax-1)
m=2*i+1;
if mod(i,2)~=0
estimate=(1/m)+estimate;
else
estimate=-(1/m)+estimate;
end
end

estimate=(1-estimate)*4;
estimate=round(estimate,6);
end

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Solution 2835762

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1 Comment

Maryam HCTRAK Yousef on 14 Aug 2020

I tried my answer on Matlab and It is correct but when I wrote it here it shows me wrong.

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Problem 953. Pi Estimate 1

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Problem 953. Pi Estimate 1

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