Problem 2908. Approximation of Pi

Created by goc3

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Pi (divided by 4) can be approximated by the following infinite series:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>pi/4 = 1 - 1/3 + 1/5 - 1/7 + ...</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For a given number of terms (n), return the difference between the actual value of pi and this approximation of the constant.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Also, try</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/2909-approximation-of-pi-vector-inputs\"><w:r><w:t>Problem 2909</w:t></w:r></w:hyperlink><w:r><w:t>, a slightly harder variant of this problem.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

1531 Solutions
449 Solvers

Last Solution submitted on May 13, 2022

Last 200 Solutions

Problem Comments

Problem Recent Solvers449

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 2908. Approximation of Pi

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers449

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Problem 2908. Approximation of Pi

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers449

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Players