Java Program to Print the Series 1 2 10 37 101 226 … N

In the previous article we have discussed about Java Program to print Series 1 2 6 15 31 … N

In this article we are going to see how to print the series 1 2 10 37 101 226 … N by using Java programming language.

Java Program to Print the Series 1 2 10 37 101 226 … N

On observing the pattern carefully, we can see

1^st term starts from 1

Then the next term is in the format like previous term element + cube of previous term(position)

For example:

101

226

…

1+1^3 2+2^3 10+3^3 37+4^3 101+5^3 +(N-1)^3

First Term(1) =1 =1

Second Term(2) =1+1^3 =2

Third Term(3) =2+2^3 =10

Fourth Term(4) =10+3^3 =37

Fifth Term(5) =37+4^3 =101

Like this.

Let’s see different ways to print the series 1 2 10 37 101 226 … N.

By Using Static Input Value
By Using User Input Value
By Using User Defined Method

Method-1: Java Program to Print the Series 1 2 10 37 101 226 … 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 another integer variable say ‘result’ and initialize it to 1
Use a for loop from i=1 to i<=n-1 where the loop is incremented by 1
Inside the loop we will find the value of 3 times exponent of the Nth term and then add that value with the result.
Print the result.

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 = 1;
        System.out.print(result);
        //for loop to print the series
        for (int i = 1; i <= n-1; i++) 
        {
            result +=Math.pow(i,3); 
            System.out.print(" "+result);
        } 
    }
}

Output:

Enter the Nth term “N” 
5
1 2 10 37 101

Method-2: Java Program to Print the Series 1 2 10 37 101 226 … 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 another integer variable say ‘result’ and initialize it to 1
Use a while loop from i =1 to i<=n-1 where the loop is incremented by 1
Inside the loop we will find the value of 3times exponent of the Nth term and then add that 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();
        int result=1;
        System.out.print(result);
        int i=1;
        while(i<=n-1)
        {
            result +=Math.pow(i,3); 
           System.out.print(" "+result);
           i++;
        }      
    }
}

Output:

Enter the Nth term “N” 
6
1 2 10 37 101 226

Method-3: Java Program to Print the Series 1 2 10 37 101 226 … N By Using User Defined Method

Approach:

The same logic as method 1 but this time we are moving the for inside a user-defined method
Create a Scanner class object.
Prompt the user to enter the Nth term “N”
Call a method to execute the sum of series.
Let declare an integer variable result and initialize it to 1
Use a for loop from i =1 to i<=n-1 incremented by 1
Inside the loop we will find the value of 3times exponent of the Nth term and then add that 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)
    {
        int result = 1;
        System.out.print(result);
        //for loop to print the series
        for (int i = 1; i <=n-1; i++) 
        {
            result +=Math.pow(i,3); 
            System.out.print(" "+result);
        } 
    }
}

Output:

Enter the value of Nth term 'N' 
9
1 2 10 37 101 226 442 785 1297

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