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Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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4. Given variables int n and double pi, write a snippet of code that assigns to pi the approximation of a resulting from adding the first n terms in the Gregory-Leibniz series: - 1)' 1 = 4 1 1 1 1 T = L 2i + 1 i=0 3 7
Transcribed Image Text:4. Given variables int n and double pi, write a snippet of code that assigns to pi the approximation of a resulting from adding the first n terms in the Gregory-Leibniz series: - 1)' 1 = 4 1 1 1 1 T = L 2i + 1 i=0 3 7
Expert Solution
Introduction

Gregory-Liebniz series helps to calculate the value of pi.

Here is the Java implementation of the Series.

Algorithm:

  • Take the input for n
  • declare a variable "pi"
  • iterate from 0 to n-1
  • generate "current term" for each iteration as t = ( 1 / (2*i + 1)  ) [ as mentioned in the question]
  • if the iteration is odd (like 1, 3, 5... ) , multiply the "current term" with -1, to make it negative
  • In each iteration, add the term with the value of pi
  • after the program control comes out of the loop, multiply 4 with the value of "pi"
  • print "pi"
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