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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.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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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) 3ần 2n + 1 12=0 Have the main() call upon your function for various values of N to ensure it is correctly working. π =
Transcribed Image Text: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) 3ần 2n + 1 12=0 Have the main() call upon your function for various values of N to ensure it is correctly working. π =
Expert Solution
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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