MATLAB: Code to estimate pi

pi

see above image.
Please help for both calculations.
thanks

Best Answer

Use the MATLAB vector capabilities:
N = 1E+8; % Number Of Terms
pie1 = sqrt(sum(6./[1:N].^2))
pie2 = sqrt(8 + sum(16./((2*[1:N] - 1).^2 .* (2*[1:N] + 1).^2)))
pie1 =
3.1415926440655
pie2 =
3.14159265358975