Any suggestions on what I have done wrong?

I am attempting to find the smallest number of terms needed in the following series such that the absolute error of P - pi is less than 10^-6.

The series being S = 1/1^2 + 1/2^2 + 1/3^2............1/n^2.

With P = sqrt(6S)

I have the following code, but have managed to create an infinite loop. Any suggestions as to where I have gone wrong?

S=1;
P=sqrt(6*S);
n=1
while abs(P-pi)>10^(-6)
  n=n+1
  S=S+1/(n^2)
end
disp(n)

Answer 1

[David Fletcher]

The variable P in your loop condition is never being updated in the loop. So if the condition is true at the start of the loop it will always be true - hence the infinite loop

[Monkeyman]

Wow that was dumb, cheers mate