In the previous article we have discussed about Java Program to Print the Sum of Series 1+ 2 + 3 + 4 + … + N

In this article we are going to see how to print the sum of series 1^2 + 2^2 + 3^2 + 4^2 + …… + N^2 by using Java programming language.

## Java Program to Print the Series 1^2 + 2^2 + 3^2 + 4^2 + …… + N^2

On observing the pattern carefully, we can see it is in the form of `a^2`

. Where ‘`a`

‘ starts from 1, then the next term is incremented by 1 with the previous term and finally all the terms are added.

**Example:**

Suppose value of n = 5

1^2+2^2+3^2+4^2+5^2 = 1+4+9+16+25 = 55

1^2 | 2^2 | 3^2 | 4^2 | 5^2 | 6^2 | …… | N^2 |

Let’s see different ways to sum of series 1^2 + 2^2 + 3^2 + 4^2 + …… + N^2

### Method-1: Java Program to Print the Series 1^2 + 2^2 + 3^2 + 4^2 + …… + N^2 By Using For Loop

**Approach: **

- Create Scanner class object.
- Declare an integer variable say ‘
`n`

’ which holds the number of terms in the series. - Prompt the user to enter a number as value of
`n`

. - Let declare an integer variable say ‘
`sum`

’ and initialize it to 0. - Use a for loop from
`i=1 to i<=n`

where the loop is incremented by 1. - Inside the for loop we will find the value of
`sum=sum+(i*i)`

- Print the result in the series.

**Program:**

import java.util.*; public class Main { public static void main(String [] args) { //creating object of Scanner class Scanner s = new Scanner(System.in); //Taking input of number of elements in the series System.out.println("Enter the Nth term “N” "); int n = s.nextInt(); int sum = 0; //for loop to print the series for (int i = 1; i <= n; i++) { sum+=(i*i); } System.out.print("The sum of the series is "+sum); } }

Output: Enter the Nth term “N” 5 The sum of the series is 55

### Method-2: Java Program to Print the Series 1^2 + 2^2 + 3^2 + 4^2 + …… + N^2 By Using While Loop

**Approach: **

- Create Scanner class object.
- Declare an integer variable say ‘
`n`

’ which holds the number of terms in the series. - Prompt the user to enter a number as value of
`n`

. - Let declare integer variable say ‘
`sum`

’ and initialize it to 0 - Declare and initialize an integer variable
`i=1`

- Continue a while loop
`till i<=n`

, where`i`

is incremented by 1. - Inside while loop find the value of
`sum+=i*i`

- Print the result in the series.

**Program:**

import java.util.*; public class Main { public static void main(String [] args) { //creating object of Scanner class Scanner s = new Scanner(System.in); //Taking input of number of elements in the series System.out.println("Enter the Nth term “N” "); int n = s.nextInt(); int sum = 0; int i=1; while(i<=n) { sum +=i*i; i++; } System.out.print("The sum of the series is "+sum); } }

Output: Enter the Nth term “N” 7 The sum of the series is 140

### Method-3: Java Program to Print the Series 1^2 + 2^2 + 3^2 + 4^2 + …… + N^2 By Using User Defined Method

**Approach: **

- Create a Scanner class object.
- Prompt the user to enter a value of
`n`

which holds the number of terms in the series. - Call a user defined method
`printSeries()`

by passing`n`

as parameter. - Inside the method declare integer variable say ‘
`sum`

’ and initialize it to 0 and we will use a for loop to find the sum series. - Use a for loop
`from i=1 to i<=n`

where the loop is incremented by 1 - Inside the for loop we will find the value of
`sum=sum+(i*i)`

- Print the result in the series.

**Program:**

import java.util.*; public class Main { public static void main(String[] args) { // creating object of scanner class Scanner s = new Scanner(System.in); //Taking input of number of elements in the series System.out.println("Enter the value of Nth term 'N' "); int n = s.nextInt(); // calling printSeries method to print the series printSeries(n); } //printSeries metthod to print the series public static void printSeries(int n) { int sum=0; //for loop to print the series for (int i = 1; i <= n; i++) { sum+=(i*i); } System.out.print("The sum of the series is "+sum); } }

Output: Enter the value of Nth term 'N' 9 The sum of the series is 285

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