Write Matlab program that calculates an estimate of the value of PI. In mathemat

Question

Write Matlab program that calculates an estimate of the value of PI.
In mathematics, PI is approximated by the following formula:
PI = 4 %u2013 4/3 + 4/5 %u2013 4/7 + 4/9 - 4/11 + 4/13 - 4/15 + 4/17 . . .
The more terms you use, the closer to PI you get (The above equation shows 9 terms). For example, if you use 5 terms to calculate PI, your formula would be as follows:
PI = 4 - 4/3 + 4/5 - 4/7 + 4/9 = 4 %u2013 1.333333333333 + 0.8 - 0.571428 + 0.4444444
= 3.33968254.
What is your job?
Write a program that prompts the user to enter the number of terms which will be used to calculate PI. Also, your program should keep asking the user to re-calculate PI as long as you wish. Your program should get as close as it can to PI= 3.141592653589793.
Here is an example of input/output: %uF0E0 Enter number of terms for PI calculation: 5
Your results are: Actual PI = 3.141592653589793 Calculated PI = 3.33968254
Would you like to try another PI calculation? (yes/no) yes Enter number of terms for PI calculation: 500000
Your results are: Actual PI = 3.141592653589793 Calculated PI = 3.141590654
Would you like to try another PI calculation? (yes/no) yes Enter number of terms for PI calculation: 50000000
Your results are: Actual PI = 3.141592653589793 Calculated PI = 3.141592634
Would you like to try another PI calculation? (yes/no) no
Thank you, I am satisfied with this result.
Note: Your results might be just a little different from the above as far as the precision.

Explanation / Answer

resume='yes';

while( strcmpi(resume,'yes') )

t=input('Enter number of terms for PI calculation :');

res=0;

for i=1:t

res=res + ((-1)^(i+1))*(4/(2*i-1));

end

fprintf('Yout Results are: ');

fprintf('Actual PI: %.15f ',pi);

fprintf('Calculated PI: %.15f ',res);

resume = input('Would you like to try another PI calculation? (yes/no)','s');

end

disp('Thank you, I am satisfied with this result.');

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