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Write a matlab function for approximating the value of pi (certain equation)

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Jin
Jin 2023-4-12
编辑： Torsten 2023-4-12
Hi.
Task:
Write a program that calculates the approximation of pi when it is given an upper limit of the sum 𝑁.
Code that I'm trying to use:
function p = fun_my(n)
p = 0;
for k = 1:n
p = p + sqrt(8 + sum(16./((2*(1:n) - 1).^2 .* (2*(1:n) + 1).^2)));
end
Thanks for advance!

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Torsten
Torsten 2023-4-12
编辑：Torsten 2023-4-12
Ran in:
You sum twice.
And
(2*n-1)^2*(2*n+1)^2 = (4*n^2-1)^2
Either use
n = 20;
p = 0;
for k = 1:n
p = p + 1/(4*k^2-1)^2;
end
p = sqrt(8 + 16*p)
p = 3.1416
or use
n = 20;
p = sum(1./(4*(1:n).^2-1).^2);
p = sqrt(8+16*p)
p = 3.1416

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