Here, we are going to write python program to find sum of squares of n natural numbers. To find sum of squares of n numbers we can use for loop or while loop to add the squares of each numbers one by one into sum.

Sum of squares of n natural numbers is the sum of squares of the positive numbers from 1 to nth number.Lets see practical solved example. We can use following formula to solve the query.

**Formula:**

sum of squares of n numbers:

1^{2}+2^{2}+3^{2}+4^{2}+5^{2}+….+(n-1)^{2}+n^{2}

**Examples**

sum of squares of 3 numbers:

1^{2}+2^{2}+3^{2} = 1 + 4 +9 = 14

## Program 1 : **Python program to find sum of squares of n numbers using for loop**

```
# Program to find sum of sqaure of n numbers
# reading input from user
n = int(input("Enter any number : "))
# initialising sum to zero
sum = 0
# use for loop to iterate through given number
for i in range(1, n+1):
sum = sum + (i*i)
# Printing sum of squares
print("Sum of squares is : ", sum)
```

## Output:

### Run 1 :

Enter any number : 100

Sum of squares is : 338350

%Run 2:

Enter any number : 10

Sum of squares is : 385

%Run 3:

Enter any number : 3

Sum of squares is : 14

## Program 2 : **Python program to find sum of squares of n numbers using while loop**

```
# Program to find sum of sqaure of n numbers
# reading input from user
n = int(input("Enter nth number : "))
sum = 0
# use while loop
while n>0:
sum = sum + (n*n)
n = n-1
# Printing sum of squares
print("sum of squares is : ",sum)
```

## Output:

Run1

Enter nth number : 200

sum of squares is : 2686700

Run2

Enter nth number : 150

sum of squares is : 1136275%Run 3

Enter nth number : 5

sum of squares is : 55

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