Pi is an irrational number having non-recurring decimal values. We commonly know T=3.14 orJ=22/7,but it is just an approximation for our ease. There is a method to calculate the value of r in pythonusing Leibniz's series:T/4 = 1-1/3+ 1/5 - 1/7 + 1/9-..This series is never-ending, the more the terms this series contains, the closer the value converges toJT value. Write an algorithm to compute T. Because the formula is an infinite series and an algorithmmust stop after a finite number of steps, you should stop when you have the result determined to sixsignificant digits.

(1) Initilize the variables piByFour=1 , t=0 , i=1 , j=3 , t=1 (2)Initilize the variables piByFour=1…

Pi is an irrational number having non-recurring decimal values. We commonly know T=3.14 or T=22/7, but it is just an approximation for our ease. There is a method to calculate the value of r in python using Leibniz's series: 1/4 = 1-1/3+ 1/5-1/7+ 1/9-...

Pi is an irrational number having non-recurring decimal values. We commonly know T=3.14 or T=22/7, but it is just an approximation for our ease. There is a method to calculate the value of r in python using Leibniz's series: 1/4 = 1-1/3+ 1/5-1/7+ 1/9-...

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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Question

Pi is an irrational number having non-recurring decimal values. We commonly know T=3.14 orJ=22/7,
but it is just an approximation for our ease. There is a method to calculate the value of r in python
using Leibniz's series:
T/4 = 1-1/3+ 1/5 - 1/7 + 1/9-..
This series is never-ending, the more the terms this series contains, the closer the value converges to
JT value. Write an algorithm to compute T. Because the formula is an infinite series and an algorithm
must stop after a finite number of steps, you should stop when you have the result determined to six
significant digits.

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