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3. The Leibniz method of approximating the value of pi uses the following mathem

ID: 3903746 • Letter: 3

Question

3. The Leibniz method of approximating the value of pi uses the following mathematical series: 1/3 Final Exam.md 6/11/2018 Each additional term can be represented as (-1)(n) 1/ (2n+1). So for example: o n-2: (-1)01/(6+1)-11/7 Write a program which approximates the value of pi using the Leibniz method where the user can input an integer value for n indicating the number of iterations you should perform. This program should perform the n iterations and print out the approximate value of pi that results from the calculation. Example output: how many iterations: 1000e0 i 3.1415826535897198

Explanation / Answer

Find the required program in MATLAB:

%=========================================

iter=input('How many iterations: ');
sum=0;
for i=1:iter
sum=sum+((-1)^(i-1) * (1/(2*(i-1) +1)));
end
pi=4*sum

%=========================================

Hope this helps!

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