Java Program to Print the Series 1 9 17 33 49 73 97 … N

Java Program to Print the Series 1 9 17 33 49 73 97 … N

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In the previous article we have discussed about Java Program to Print the Sum of Series 3 + 7+ 13 + 21 + … + N

In this article we are going to see how to print the series 1 9 17 33 49 73 97 … N by using Java programming language.

Java Program to Print the Series 1 9 17 33 49 73 97 … N

On observing the pattern carefully, we can see the series follows a logic

If i is odd then 2*(i*i)-1

If i is even then 2*(i*i)+1

Example:

2*(i*i)-1 = 2*(1*1)-1 = 1

2*(i*i)-1 = 2*(2*2)+1 = 9

2*(i*i)-1 = 2*(3*3)-1 = 17

2*(i*i)-1 = 2*(4*4)+1 = 33 … and so on.

1 9 17 33 49 73 …… N

Let’s see different ways to

Method-1: Java Program to Print the Series 1 9 17 33 49 73 97 … N 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 ‘result’
  • 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 result according to the position of i. If i is odd then result=2*(i*i)-1, If i is even then result=2*(i*i)+1
  • 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 number of terms  ");
        int n = s.nextInt();
        int result;
        //for loop to print the series
        for (int i = 1; i <= n; i++) 
        {
            if(i%2==0)
            {
                result=(int) (2*Math.pow(i,2)+1);
                System.out.print(result+" ");
            }
            else
            {
                result=(int) (2*Math.pow(i,2)-1);
                System.out.printf(result+" ");
            }
        } 
    }
}

Output:

Enter the number of terms 
5
1 9 17 33 49

Method-2: Java Program to Print the Series 1 9 17 33 49 73 97 … N 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 ‘result’
  • Declare and initialize an integer variable i=1
  • Continue a while loop till i<=n, where i is incremented by 1.
  • Inside while loop we will find the value of result according to the position of i. If i is odd then result=2*(i*i)-1, If i is even then result=2*(i*i)+1
  • 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 result;
        int i=1;
        while(i<=n)
        {
            if(i%2==0)
            {
                result=(int) (2*Math.pow(i,2)+1);
                System.out.print(result+" ");
            }
            else
            {
                result=(int) (2*Math.pow(i,2)-1);
                System.out.printf(result+" ");
            }
            i++;
        } 
    }
}

Output:

Enter the number of terms 
7
1 9 17 33 49 73 97

Method-3: Java Program to Print the Series 1 9 17 33 49 73 97 … N 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 ‘result’.
  • Inside the for loop we will find the value of result according to the position of i. If i is odd then result=2*(i*i)-1, If i is even then result=2*(i*i)+1
  • 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 result ;
        for(int i = 1; i<=n; i++)
        {
            if(i%2==0)
            {
                result=(int) (2*Math.pow(i,2)+1);
                System.out.print(result+" ");
            }
            else
            {
                result=(int) (2*Math.pow(i,2)-1);
                System.out.printf(result+" ");
            }
        }
    }
}

Output:

Enter the number of terms 
9
1 9 17 33 49 73 97 129 161

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