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In this post, You will learn today today how to find sum of first n numbers in java using while loop, for loop and mathematics formula(Opti...

In this post, You will learn today today how to find sum of first n numbers in java using while loop, for loop and mathematics formula(Optimized).

For this program, we have to input the natural number n value which you want to get the sum. So that Our program will get sum of first n numbers. This is basic program for freshers or who are studying engineering in their lab programs.

Example 1:
number = 10
sum = 55

Example 2:
number = 100
sum = 5050

Following are the example programs to find sum of first n or 10 or 100.

### 1. Using For Loop:

Finding n numbers sum using for loop.

``````
package blog.java.w3schools.sum.numbers;
import java.util.Scanner;

public class SumNForLoop {

public static void main(String[] args) {

System.out.println("Enter a number : ");
Scanner scanner = new Scanner(System.in);
int number = scanner.nextInt();
int sum = 0;
for (int i = 0; i <= number; i++) {
sum = sum + i;
}

System.out.println("Final sum of first " + number + " numbers using For loop is " + sum);
}
}

``````

Output:

``````
Enter a number : 10
Final sum of first 10 numbers using For loop is 55
``````

The above program takes input of n values and loop using for loop from 0 to n.

For loop examples programs.

### 2. Using While loop.

Finding first n numbers sum using while loop.

``````
public class SumNWhileLoop {
public static void main(String[] args) {

System.out.println("Enter a number : ");
Scanner scanner = new Scanner(System.in);
int number = scanner.nextInt();
int sum = 0;
int i = 0;
while (i <= number) {
sum = sum + i;
i++;
}
System.out.println("Final sum of first " + number + " numbers using While loop is " + sum);
}
}
``````

Output:
``````
Enter a number : 10
Final sum of first 10 numbers using While loop is 55
``````

While loop examples programs.

### 3. Using Arithmetic formula:

In high school, you may have learnt formula or theorem to get sum of first n numbers. Now we will write a optimized program using the formula.

Formula : n*(n+1)/2

Compared to first and second options, this is requires less to calculate the sum.
First two takes O(n) time complexity but using formula it is in O(1).

```public class SumNFormula {
public static void main(String[] args) {

System.out.println("Enter a number : ");
Scanner scanner = new Scanner(System.in);
int number = scanner.nextInt();
int sum = 0;
sum = number * (number + 1) / 2;
System.out.println("Final sum of first " + number + " numbers using formula is " + sum);
}
}
```

Output:

``````
Enter a number : 100
Final sum of first 100 numbers using formula is 5050
``````

### Summary:

By using these three ways or methods, we can write a program to find the sum and will give the same result but the better way to find the sum is using the arithmetic formula. This question is frequently asked for experienced programmers to check optimization process. BLOGGER

Author: Venkatesh - I love to learn and share the technical stuff.
Name

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JavaProgramTo.com: 3 Ways to Find Sum of First n numbers program in Java
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