Java Program to Find the Sum of the Series 1/1+1/2+1/3+…1/N


This is the Java Program to Find the Sum of the Series 1/1+1/2+1/3+…1/N.

Problem Description

Given a number n, write a java program to find the sum of the series 1/1+1/2+1/3+…1/N.

Problem Solution

Start a loop from 1 to n, and add the reciprocal of the loop variable to the sum.

Program/Source Code

Here is the source code of the Java Program to Find the Sum of the Series 1/1+1/2+1/3+…1/N. The program is successfully compiled and tested using IDE IntelliJ Idea in Windows 7. The program output is also shown below.

  2. //Java Program to Find the Sum of the Series 1/1+1/2+1/3+...1/N
  4. import;
  5. import;
  7. public class Series80 {
  8.     // Function to find the sum of the series
  9.     public static void main(String[] args) {
  10.         BufferedReader br = new BufferedReader(new InputStreamReader(;
  11.         int n;
  12.         try{
  13.             System.out.println("Enter the number of terms in the series");
  14.             n = Integer.parseInt(br.readLine());
  15.         }catch (Exception e){
  16.             System.out.println("An error occurred");
  17.             return;
  18.         }
  19.         double sum = 0;
  20.         double i;
  21.         for(i=1; i<=n;i++){
  22.             sum +=(1/i);
  23.         }
  24.         System.out.println("The sum is " + sum);
  25.     }
  26. }
Program Explanation

In the function main(), firstly the variable n is entered, then the loop for(i=1; i<=n;i++), is used to sum the reciprocal of the loop variable.

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Time Complexity: O(n).

Runtime Test Cases
Case 1 (Simple Test Case):
Enter the number of terms in the series
The sum is 4.118209990445433

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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