Pi (divided by 4) can be approximated by the following infinite series:
pi/4 = 1 - 1/3 + 1/5 - 1/7 + ...
For a given number of terms (n), return the difference between the actual value of pi and this approximation of the constant.
Also, try Problem 2909, a slightly harder variant of this problem.
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Find the index of n in magic(n)
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