# 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

### 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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