Java Program to Print Series 2 5 10 17 26 37 50…N

In the previous article we have discussed about Java Program to Print Series 5 25 125 625 3125…N

In this article we are going to see how to print the series 2 5 10 17 26 37 50… N by using Java programming language. Along with 2 5 10 17 series in java, series program in java, 2 5 10 17 Pattern, Number Series Java Program, Print Series In Java, Java Series Program Examples.

Java Program to Print Series 2 5 10 17 26 37 50…N

On observing the pattern carefully, you can see this series is in in the form of i*i+1 where i starts from 1 and goes on up to N.

When i=1: i*i+1 = 1*1+1 = 2

When i=2: i*i+1 = 2*2+1 = 5

When i=3: i*i+1 = 3*3+1 = 10 and so on.

So the series is like 2 5 10 17 … N

Example:

When value of N = 5
Then series:
2 5 10 17 26

Let’s see different ways to print the series 0 3 8 15 24 35 48…N

By Using For Loop
By Using while Loop
By Using User Defined Method

Method-1: Java Program to Print Series 2 5 10 17 26 37 50…N By Using For Loop

Approach:

Declare an integer variable say ‘n’ which holds the Nth term of the series.
Create Scanner class object.
Prompt the user to enter a number as value of n.
Let declare a integer variable ‘result‘
Use a for loop from i=1 to i<=n incremented by 1
Inside for loop find the value of result = i*i+1
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;
        //for loop to print the series
        for (int i = 1; i <= n; i++) 
        {
            result=i*i+1; 
            System.out.print(" "+result);
        } 
    }
}

Output:

Enter the Nth term “N” 
5
2 5 10 17 26

Method-2: Java Program to Print Series 2 5 10 17 26 37 50…N By Using While Loop

Approach:

Declare an integer variable say ‘n’ which holds the Nth term of the series.
Create Scanner class object.
Prompt the user to enter a number as value of n.
Let declare a integer variable ‘result‘
Declare and initialize an integer variable i=1
Continue a while loop till i<=n, where i incremented by 1.
Inside while loop find the value of result = i*i+1
Print the result in the series.

Program:

import java.util.*;
public class Main
{
    public static void main(String [] args)
    {
        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;
        int i=1;
        while(i<=n)
        {
            result=i*i+1; 
            System.out.print(" "+result);
            i++;
        }      
    }
}

Output:

Enter the Nth term “N” 
5
2 5 10 17 26

Method-3: Java Program to Print Series 2 5 10 17 26 37 50…N By Using User Defined Method

Approach:

Declare an integer variable say ‘n’ which holds the Nth term of the series
Create Scanner class object.
Prompt the user to enter a number as value of n.
Call a user defined method printSeries() by passing n as parameter.
Inside method declare a integer variable ‘result‘
Use a for loop from i=1 to i<=n incremented by 1
Inside for loop find the value of result = i*i+1
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 vale of Nth term “N”");
        int n = s.nextInt();
       // calling printSeries method to print the series
        printSeries(n);
    }

    //user defined method printSeries() to print the series
    public static void printSeries(int n)
    {
        int result;
        //for loop to print the series
        for (int i = 1; i <= n; i++) 
        {
            result=i*i-1; 
            System.out.print(" "+result);
        } 
    }
}

Output:

Enter the vale of Nth term “N”
5
2 5 10 17 26

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