# Java Program to Print the Series 6 14 36 98 … N

In the previous article we have discussed about Java Program to print Series 2 12 36 80 150 … N

In this article we are going to see how to print the series Print Series 6 14 36 98 … N by using Java programming language.

## Java Program to Print the Series 6 14 36 98 … N

On observing the pattern carefully, we can see Math.pow(1,i)+Math.pow(2,i)+Math.pow(3,i) where i starts from 1 and in each term incremented by 1 and goes up to n.

Example:

6 = 1^1 + 2^1 + 3^1
14 = 1^2 + 2^2 + 3^2
36 = 1^3 + 2^3 + 3^3
98 = 1^4 + 2^4 + 3^4 ……

N = 1^n + 2^n + 3^n

 6 14 36 98 276 … N

### Method-1: Java Program to Print the Series 6 14 36 98 … N By Using 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 ‘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 1^i + 2^i + 3^i of the Nth term 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(1,i)+Math.pow(2,i)+Math.pow(3,i);
System.out.print((int)result+" ");
}
}
}

Output:

Enter the Nth term “N”
6
6 14 36 98 276 794

### Method-2: Java Program to Print the Series 6 14 36 98 … 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 ‘result‘.
• Declare and initialize an integer variable i=1
• Use a while loop till i<=n, where the loop is incremented by 1.
• Inside the loop we will find the value of 1^i + 2^i + 3^i of the Nth term 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(1,i)+Math.pow(2,i)+Math.pow(3,i);
System.out.print((int)result+" ");
i++;
}
}
}

Output:

Enter the Nth term “N”
7
6 14 36 98 276 794 2316

### Method-3: Java Program to Print the Series 6 14 36 98 … 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 ‘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 1^i + 2^i + 3^i of the Nth term 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(1,i)+Math.pow(2,i)+Math.pow(3,i);
System.out.print((int)result+" ");
}
}
}

Output:

Enter the value of Nth term 'N'
5
6 14 36 98 276

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