this is MATLAB questionSolutionclc clear all close all n 100

this is MATLAB question.

Solution

clc;
clear all;
close all;
n= 100
val=0;
for i = 1 : 100
exp = 1/(n*n);
val=val+exp;
end

pi=sqrt(6*val);
disp(\' n value \')
disp(n)
disp(\' pi value \')
disp(pi);

n= 10000
val=0;
for i = 1 : 10000
exp = 1/(n*n);
val=val+exp;
end
pi=sqrt(6*val);
disp(\' n value \')
disp(n)
disp(\' pi value \')
disp(pi);

n= 1000000
val=0;
for i = 1 : 1000000
exp = 1/(n*n);
val=val+exp;
end
pi=sqrt(6*val);
disp(\' n value \')
disp(n)
disp(\' pi value \')
disp(pi);

output:

n =

100

n value
100

pi value
0.2449

n =

10000

n value
10000

pi value
0.0245

if n value is less the computed value is near to pi,

but if n increases difference with computed value and pi is high.

n =

1000000

n value
1000000

pi value
0.0024