Slow pi approximation X27663

Statement

Write a function @slow_pi_approx(n)@ that given a non negative integer $n$ computes $4\sum_{k = 0}^n \frac{(-1)^k}{2k + 1}$ The returned value has to be rounded to the ten thousandth by using the python function round(_,4).

Sample session

>>> slow_pi_approx(10)
3.2323
>>> slow_pi_approx(100)
3.1515
>>> slow_pi_approx(1000)
3.1426

Information

Author: ProAl
Language: English
Official solutions: Python
User solutions: Python