can be approximated by using the following inte series ++) White a program that points out two versions of the approximation one that goes out to a denominator of 13 and one that goes out of a denominator of 18 Note you will want to use 1.0 for your numerators. In my code used a decimal version for all of these inters

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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Using eclipse in Java programming
Write a program that points out the versions of the approximation one that goes out to a denominator of 13 and one that goes out of a denominator of 18
Note you will want to use 1.0 for your numerators. In my code used a decimal version for all of these integre
Transcribed Image Text:Write a program that points out the versions of the approximation one that goes out to a denominator of 13 and one that goes out of a denominator of 18 Note you will want to use 1.0 for your numerators. In my code used a decimal version for all of these integre
Expert Solution
Step 1: Providing the algorithm

1. Start

2. Define a class PiApproximation:

    a. Define a method calculatePiApproximation(denominator):
       i. Initialize piApproximation to 0.
       ii. Initialize a boolean variable subtract to false.
       iii. Iterate i from 1 to denominator with a step of 2:,a. Define a method calculatePiApproximation(denominator):
       i. Initialize piApproximation to 0.
       ii. Initialize a boolean variable subtract to false.
       iii. Iterate i from 1 to denominator with a step of 2:,a. Define a method calculatePiApproximation(denominator):
       i. Initialize piApproximation to 0.
       ii. Initialize a boolean variable subtract to false.
       iii. Iterate i from 1 to denominator with a step of 2:,a. Define a method calculatePiApproximation(denominator):
       i. Initialize piApproximation to 0.
       ii. Initialize a boolean variable subtract to false.
       iii. Iterate i from 1 to denominator with a step of 2:
            a. If subtract is true:
               - Subtract 1.0 divided by i from piApproximation.
            b. Else:
               - Add 1.0 divided by i to piApproximation.
            c. Toggle the value of subtract.
       iv. Return 4*piApproximation.

    b. Define the main method:
       i. Calculate pi approximation with denominator 13 using calculatePiApproximation(13).
       ii. Print "Approximation of pi with denominator 13: " concatenated with the calculated value.
       iii. Calculate pi approximation with denominator 15 using calculatePiApproximation(15).
       iv. Print "Approximation of pi with denominator 15: " concatenated with the calculated value.

3. End

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