Abraham Series to Compute Write a well-documented Python program, hmwk4Q2.py, that calculates. Construct a function abr_pi.py(N) accepts an integer N and returns an estimate of computing the Abraham Series using N terms. The series is: 2(-1) 3ền 2n + 1 T[=> 12=0 Have the main() call upon your function for various values of N to ensure it is correctly working.
Abraham Series to Compute Write a well-documented Python program, hmwk4Q2.py, that calculates. Construct a function abr_pi.py(N) accepts an integer N and returns an estimate of computing the Abraham Series using N terms. The series is: 2(-1) 3ền 2n + 1 T[=> 12=0 Have the main() call upon your function for various values of N to ensure it is correctly working.
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
Problem 8SA
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Step 1
Algorithm:
1. Define a function abr_pi that takes one parameter, N, which is an integer representing the number of terms to use in the computation.
2. Set a variable pi_estimate to 0.
3. Use a loop to iterate over the range of N.
4. In each iteration, add the result of (2 * (-1)**n * 3**(1/2 - n)) / (2*n + 1) to pi_estimate.
5. After the loop, return pi_estimate.
6. Define a main function.
7. Use a loop to iterate over a list of values for N, such as [5, 10, 15, 20].
8. For each iteration, call abr_pi with the current value of N as an argument and assign the result to pi_estimate.
9. Print the result of pi_estimate.
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