Java Program to Display Sum of Series X^1 + X^2 + X^3 + ……… X^N

In the previous article we have discussed about Java Program to print Series 6 14 36 98 … N

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

Java Program to Display Sum of Series X^1 + X^2 + X^3 + ……… X^N

On observing the pattern carefully, we can see

X is fixed and can be anything.

Sum series = X^1 + X^2 + X^3 + … + X^n,

where 1,2,3,..,n are the powers of X in each term respectively.

Example:

Suppose the value of X = 2 and n= 3
Then Sum of series = 2^1 + 2^2 + 2^3 = 2+4+8 = 14

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

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

Method-1: Java Program to Display Sum of Series X^1 + X^2 + X^3 + ……… X^N By Using For Loop

Approach:

Create Scanner class object.
Declare an integer variable say ‘x’, which holds a fixed value.
Declare an integer variable say ‘n’, which holds the Nth term power of the series.
Prompt the user to enter 2 number as values of ‘x’, ‘n’ respectively .
Let declare another integer variable say ‘result’ and initialize it to 0.
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 x^i 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 value of x ");
        int x = s.nextInt();
        //Taking input of number of elements in the series
        System.out.println("Enter the value of N ");
        int n = s.nextInt();
        int result = 0;
        //for loop to print the series
        for (int i = 1; i <= n; i++) 
        {
            result +=Math.pow(x,i); 	         
        }
       System.out.println("Sum of the series is " + result); 
    }
}

Output:

Enter the value of x 
2
Enter the value of N
3
Sum of the series is 14

Method-2: Java Program to Display Sum of Series X^1 + X^2 + X^3 + ……… X^N By Using While Loop

Approach:

Create Scanner class object.
Declare an integer variable say ‘x’, which holds a fixed value.
Declare an integer variable say ‘n’, which holds the Nth term power of the series.
Prompt the user to enter 2 number as values of ‘x’, ‘n’ respectively .
Let declare another integer variable say ‘result’ and initialize it to 0.
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 x^i 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 value of x ");
        int x = s.nextInt();
        //Taking input of number of elements in the series
        System.out.println("Enter the value of N ");
        int n = s.nextInt();
        int result=0;
        System.out.print(result);
        int i=1;
        while(i<=n)
        {
            result +=Math.pow(x,i); 
            i++;
        }
        System.out.println("Sum of the series is " + result);       
    }
}

Output:

Enter the value of x 
2
Enter the value of N
9
0Sum of the series is 1022

Method-3: Java Program to Display Sum of Series X^1 + X^2 + X^3 + ……… X^N By Using User Defined Method

Approach:

Create Scanner class object.
Declare an integer variable say ‘x’, which holds a fixed value.
Declare an integer variable say ‘n’, which holds the Nth term power of the series.
Prompt the user to enter 2 number as values of ‘x’, ‘n’ respectively .
Let declare another integer variable say ‘result’ and initialize it to 0.
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 x^i 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 value of x ");
        int x = s.nextInt();
        //Taking input of number of elements in the series
        System.out.println("Enter the value of N ");
        int n = s.nextInt();
        // calling printSeries method to print the series
        printSeries(x,n);
    }
    
    //printSeries metthod to print the series
    public static void printSeries(int x, int n)
    {
        int result = 0;
        System.out.print(result);
        //for loop to print the series
        for (int i = 1; i <=n; i++) 
        {
            result +=Math.pow(x,i); 	         
        }
       System.out.println("Sum of the series is " + result);  
    }
}

Output:

Enter the value of x 
5
Enter the value of N
10
0Sum of the series is 12207030

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