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Homework Program C The value for PI can be determined by the series equation: PI = 4(1/1 - 1/3 + 1/5 - 1/7 + 1/9

Homework Program C

The value for PI can be determined by the series equation: PI = 4(1/1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + 1/13 ...) Write a function using a loop to approximate the value of PI using the formula given including terms up through 1/99, 1/999 and 1/9999. As the number of iterations increase, the estimate gets closer to the value of PI. The function should accept the number of iterations and return the estimate of PI. Hint: To flip the sign from + to -, declare a variable and multiply it by -1 inside the loop. Sample output:

Run 1: ESTIMATE PI Enter number of iterations: 99 Estimated PI is 3.121595

Run 2: ESTIMATE PI Enter number of iterations: 9999 Estimated PI is 3.141393

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