calculate pi for infinite series, Other Engineering

Write a program to calculate from the infinite series:

Print a table showing the value of approximated by one term, two terms, three terms, four terms, and so on from the series. The table should have three columns showing the number of terms used, the approximated value of , and the difference between the actual value (3.141592654) and the approximate value calculated by the above sum (eight places of decimal). How many terms of this series are needed to get three significant digits of accuracy (3.14)?

Your program should prompt the user to identify the number of terms to be summed up, and then should print the above table with three columns.

Your solution should accomplish the following:
• Ask user to enter the number of terms to use for approximating the value of .
• Perform the necessary calculations to determine the approximate value of .
• Find the difference between approximated value of and the actual value of .
• Display the table (sample given at the end) showing three columns showing the number of terms used, the approximated value of , and the difference between the actual value (3.141592654) and the approximate value calculated by the above sum (eight places of decimal).
• Ask the user whether the program needs to be re-run or terminated.
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