How to verify Eulers Theory

The mathematician Euler proved the following:
pi^2/6= 1+1/4+1/9+1/16 ...
Rather than finding a mathematical proof for this, verify whether the conjecture seems to be true or not by writing a loop until the sum is close to pi^2/6

I have trouble understanding loops. help please!

Answer 1

[Julius]

sum = 0;
threshold = 1e-6;
for ii = 1 : 1 : 100000
    sum = sum + 1/ii^2;
    if abs(sum - pi^2/6) <= threshold
        break;
    end
end
disp(sprintf('%s iterations needed to approach pi^2/6',num2str(ii)));

[Chris]

could you explain what you did there? what exactly is the threshold and what did you do in line 5?

[Walter Roberson]

Providing complete homework solutions is not advised.