Refer to the first pic for the 2nd problem How Many Terms of The Abraham Series?Write a well-documented Python program, hmwk4Q3.py, that determines the number of terms in the infinite series ofAbraham to obtain a specified level of precision with the actual value of, as computed by Python's math module.Your main program prompts a user for an integer M. Your application identifies the number of terms N to achieve anestimate of within 10M. Your program should call upon your function defined in hmwk4Q2.py. As a comment includethe answer to the question when M = 9. Abraham Series to ComputeWrite a well-documented Python program, hmwk4Q2.py, that calculates. Construct a function abr_pi.py(N) acceptsan integer N and returns an estimate of computing the Abraham Series using N terms. The series is:[2(1) 3ần2n + 112=0Have the main() call upon your function for various values of N to ensure it is correctly working.π =

Algorithm: (1) Import the math library. Define a function abr_pi(N) that takes an integer N as…

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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

Problem 1PE

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Refer to the first pic for the 2nd problem

How Many Terms of The Abraham Series?
Write a well-documented Python program, hmwk4Q3.py, that determines the number of terms in the infinite series of
Abraham to obtain a specified level of precision with the actual value of, as computed by Python's math module.
Your main program prompts a user for an integer M. Your application identifies the number of terms N to achieve an
estimate of within 10M. Your program should call upon your function defined in hmwk4Q2.py. As a comment include
the answer to the question when M = 9.

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)

Import the math library.
Define a function abr_pi(N) that takes an integer N as input and returns an estimate of pi using the Leibniz formula for pi, which is calculated by iterating over the range from 0 to N and summing the terms of the series.
Define a main() function that asks the user to enter an integer M and stores the true value of pi from the math library in the variable trueValue.
Initialize a variable N to 1.
Use a while loop to iterate over the value of N until the absolute difference between the estimate of pi obtained from abr_pi(N) and the true value of pi is less than 10^(-M).
Print the number of terms required to estimate pi within the user-specified accuracy and the estimated value of pi to 15 decimal places using the format() function.
If the script is being run directly, call the main() function.

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