# What is the sum of squares of n natural numbers?

## What is the sum of squares of n natural numbers?

Sum of Squares of Natural Numbers Proof The sum of n natural numbers is represented as [n(n+1)]/2. If we need to calculate the sum of squares of n consecutive natural numbers, the formula is Σn2 = [n(n+1)(2n+1)] / 6. It is easy to apply the formula when the value of n is known.

## How do you find the sum of squares in C?

Here’s a C program to find the sum of squares of first n natural numbers,

1. #include
2. void main()
3. {
4. int i,n,sum=0;
5. printf(“Enter the number: “);
6. scanf(“%d”,&n);
7. for(i=1;i<=n;i++) sum += i*i;
8. printf(“Result = %d”,sum);

How do you do square roots in C?

The sqrt() function is defined in math. h header file. To find the square root of int , float or long double data types, you can explicitly convert the type to double using cast operator. int x = 0; double result; result = sqrt(double(x));

What is the sum of first n natural numbers?

The formula of the sum of first n natural numbers is S=n(n+1)2 . If the sum of first n natural number is 325 then find n.

### What is the formula for sum of first n natural numbers?

The formula of the sum of first n natural numbers is S=n(n+1)2 .

### What is the sum of cubes of first n natural numbers?

The formula to find the sum of cubes of n natural numbers is S = [n2 (n + 1)2]/4, where n is the count of natural numbers that we take.

How do you write an algorithm for sum and N numbers?

Pseudocode for finding the sum of Natural Number Declare a variable n, i and sum as integer; Read number n ; for i upto n increment i by 1 and i=1 { sum=sum+i; } Print sum; Here in this Algorithm we declare 3 variables n for storing the number, i for running the for loop and sum for storing the sum. Read the number n.

How do you find the square root of a number Program?

How Does This Program Work?

1. double num, root; In this program, we have declared two double data type variables named num and root.
2. // Asking for Input printf(“Enter an integer: “); scanf(“%lf”, &num); Then, the user is asked to enter the value of a number.
3. root = sqrt(num);
4. printf(“The Square Root of %.

#### How to find sum of squares of first n natural numbers in C?

Previously we have written a program to find the sum of N natural numbers in C, now we will write the program for the sum of squares of first N natural numbers in C using while loop, for loop, and without loop. Sum of squares of first N natural numbers is given as = 12 + 22 + 32 + 42 + …… + (n-1)2 + n2

#### How to sum of n numbers in C program?

This sum of n numbers in c program allows the user to enter any integer Value. Using the Do While Loop we will calculate the sum of N natural Numbers. We just replaced the While loop in the above Sum of N Numbers in C program with the Do While loop. Please don’t forget to miss the semi-colon after the while condition.

How to find sum of n natural numbers using recursion?

If the given number is equal to Zero then Sum of N Natural numbers = 0; Otherwise, we used the mathematical formula of Sum of Series 1 + 2+ 3+ … + N = N * (N + 1) / 2; C Program to find Sum of N Numbers using Recursion. This program to find the sum of n numbers allows the user to enter any integer value.

How do you find the sum of squares in a loop?

While loop in C For loop in C Sum of squares of first N natural numbers is given as = 12 + 22 + 32 + 42 +…… + (n-1)2 + n2 To find the sum of the squares of N natural numbers declare a variable and initialize it with value 1.