The German mathematician Gottfried Leibniz developed the following method to approximate the value of π: π/4 = 1 − 1/3 + 1/5 − 1/7 + ... Write a program that allows the user to specify the number of iterations used in this approximation and that displays the resulting value of π.

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Explanation:

Hypothesis - In the sciences, a provisional supposition from which to draw conclusions that shall be in accordance with known facts, and which serves as a starting-point for further investigation. Prediction - The action of predicting future events; an instance of this, a prophecy, a forecast.

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