Chapter 6, Problem 14P

The value of p can be estimated from:

$\frac{{\pi }^3}{32}={\displaystyle \underset{n=0}{\overset{\infty }{\sum }}\frac{{(-1)}^n}{{(2n+1)}^3}}$

Write a program (using a loop) that determine p for a given n. Run the program with n=10, n=100, and n=1,000. Compare the result with pi. (Use format long.)