Java Program to Print the Series 2 12 36 80 150 … N

In the previous article we have discussed about Java Program to print Series 1 2 10 37 101 226 … N

In this article we are going to see how to print the series 2 12 36 80 150 … N by using Java programming language.

Java Program to Print the Series 2 12 36 80 150 … N

On observing the pattern carefully, you can see the series is in the form of i^3+i^2, where i value starts from 1 and in next term incremented by 1 and it goes on increasing up to N.

Example:

2 12 36 80 150 252 N

 1^3+1^2   2^3+2^2    3^3+3^2    4^3+4^2     5^3+5^2     6^3+6^2                         n^3 + n^2

Let’s see different ways to print the series 2 12 36 80 150 … N.

Method-1: Java Program to Print the Series 2 12 36 80 150 … N By Using For Loop

Approach: 

  • Create Scanner class object.
  • Declare an integer variable say ‘n’ which holds the Nth term of the series.
  • Prompt the user to enter a number as value of ‘n’.
  • Let declare a double variable say ‘result
  • Use a for loop from i=1 to i<=n, where the loop is incremented by 1.
  • Inside the loop we will find the value of i^3 + i^2 and then store the value with the result.
  • 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();
        double result;     
        //for loop to print the series
        for (int i = 1; i <= n; i++) 
        {
            result =Math.pow(i,3)+Math.pow(i,2); 
            System.out.print((int)result+" ");
        } 
    }
}
Output:

Enter the Nth term “N” 
5
2 12 36 80 150

Method-2: Java Program to Print the Series 2 12 36 80 150 … N By Using While Loop

Approach: 

  • Create Scanner class object.
  • Declare an integer variable say ‘n’ which holds the Nth term of the series.
  • Prompt the user to enter a number as value of ‘n’.
  • Let declare a double variable say ‘result
  • Declare and initialize an integer variable i=1
  • Continue a while loop till i<=n, where the loop is incremented by 1.
  • Inside the loop we will find the value of i^3 + i^2 and then store the value with the result.
  • 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();
        double result;	        
        int i=1;
        while(i<=n)
        {
            result =Math.pow(i,3)+Math.pow(i,2); 
            System.out.print((int)result+" ");
            i++;
        }      
    }
}
Output:

Enter the Nth term “N” 
7
2 12 36 80 150 252 392

Method-3: Java Program to Print the Series 2 12 36 80 150 … N By Using User Defined Method

Approach: 

  • Create Scanner class object.
  • Declare an integer variable say ‘n’ which holds the Nth term of the series.
  • Prompt the user to enter a number as value of ‘n’.
  • Call a user defined method say printSeries() by passing n as parameter.
  • Inside method declare a double variable say ‘result
  • Declare and initialize an integer variable i=1
  • Continue a while loop till i<=n, where the loop is incremented by 1.
  • Inside the loop we will find the value of i^3 + i^2 and then store the value with the result.
  • 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)
    {
        double result;     
        //for loop to print the series
        for (int i = 1; i <= n; i++) 
        {
            result =Math.pow(i,3)+Math.pow(i,2); 
            System.out.print((int)result+" ");
        } 
    }
}
Output:

Enter the value of Nth term 'N' 
6
2 12 36 80 150 252

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