Question
The Leibniz method of approximating the value of pi uses the following mathematical series: pi = 4 * (1/1 - 1/3 + 1/5 - 1/7
The Leibniz method of approximating the value of pi uses the following mathematical series: pi = 4 * (1/1 - 1/3 + 1/5 - 1/7 + ...)
Each additional term can be represented as (-1)(n)* 1 / (2n + 1). So for example:
n = 0: (-1)(0)* 1 / (0 + 1) = 1 * 1/1
n = 1: (-1)(1)* 1 / (2 + 1) = -1 * 1/3
n = 2: (-1)(2)* 1 / (4 + 1) = 1 * 1/5
n = 3: (-1)(3)* 1 / (6 + 1) = -1 * 1/7
Write a program which approximates the value of pi using the Leibniz method where the user can input an integer value for n indicating the number of iterations you should perform. This program should perform the n iterations and print out the approximate value of pi that results from the calculation.
Please help. I do not understand how to do such a code. This is for Python. Thanks.
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