In this lesson, you will learn how to calculate the sum and average of the first n natural numbers in Python.

Also, you will get to know how to calculate the addition and average of user-entered numbers, list of numbers. And the use of built-in function `sum()`

.

This tutorials is part of Python Basics.

## Table of contents

## Sum and average of first n natural numbers

Sum and average of `n`

numbers in Python

**Accept the number n from a user**Use input() function to accept integer number from a user.

**Run a loop till the entered number**Next, run a for loop till the entered number using the

`range()`

function. In each iteration, we will get the next number till the loop reaches the last number, i.e.,`n`

.**Calculate the sum**In each iteration, keep adding the current number into the sum variable to calculate the addition. Use a formula

`sum = sum + current number`

.**Calculate the average**At last, after the loop ends, calculate the average using a formula

`average = sum / n`

. Here, The`n`

is a number entered by the user.

**Program**:

```
n = int(input("Enter number"))
sum = 0
# loop from 1 to n
for num in range(1, n + 1, 1):
sum = sum + num
print("Sum of first ", n, "numbers is: ", sum)
average = sum / n
print("Average of ", n, "numbers is: ", average)
```

Output Enter number 10 Sum of first 10 numbers is: 55 Average of 10 numbers is: 5.5

### Use built-in function sum()

You can also take the advantage of built-in function `sum()`

to calculate the sum of an iterable like range and list.

```
n = 10
res = sum(range(1, n + 1))
print("Sum of first ", n, "numbers is: ", res)
# Output Sum of first 10 numbers is: 55
```

## Sum and average of a list

Use the below steps to calculate the sum and average of numbers present in the given list.

- Iterate a Python list using a
`for`

loop and add each number to a sum variable. - To calculate the average, divide the sum by the length of a given list (total numbers in a list)

```
# list with int and floats
num_list = [10, 20.5, 30, 45.5, 50]
# Approach 1 using built-in function sum
res = sum(num_list)
avg = res / len(num_list)
print("sum is: ", res, "Average is: ", avg)
# Output sum is: 156.0 Average is: 31.2
# Approach 2 using a for loop
res1 = 0
for num in num_list:
res1 += num
avg1 = res1 / len(num_list)
print("sum is: ", res1, "Average is: ", avg1)
# Output sum is: 156.0 Average is: 31.2
```

## Sum and average using a mathematical formula

In the above programs, we calculated the sum and average using the looping technique. Now, let’s see how to calculate the sum and average directly using a mathematical formula.

Assume `n`

is a number

- The sum of the first n natural number =
`n * (n+1) / 2`

- the average of first n natural number =
`(n * (n+1) / 2) / n`

**Example**

```
n = 20
# formula to calculate sum
res = n * (n + 1) / 2
print('sum of first', n, 'numbers is:', res)
# Output sum of first 20 numbers is: 210.0
# formula to calculate average
average = (n * (n + 1) / 2) / n
print('Average of first', n, 'numbers is:', average)
# Output Average of 20 numbers is: 10.5
```

## Sum and average of multiple user-entered numbers

If you want to calculate the sum and percentage of multiple user-entered numbers, please refer to the following program.

Refer to how to accept list of numbers as a input in Python.

```
input_string = input('Enter numbers separated by space ')
print("\n")
# Take input numbers into list
numbers = input_string.split()
# convert each item to int type
for i in range(len(numbers)):
# convert each item to int type
numbers[i] = int(numbers[i])
# Calculating the sum and average
print("Sum = ", sum(numbers))
print("Average = ", sum(numbers) / len(numbers))
```

**Output**

Enter numbers separated by space 10 20 30 40 50 Sum = 150 Average = 30.0

## While loop to calculate sum and average

You can also use the Python while loop to calculate the sum and average of n numbers. Follow these steps:

- Decide the value of
`n`

. - Run a
`while`

loop till n is greater than zero. - In each iteration, add the current value of
`n`

to the sum variable and decrement`n`

by 1. - Calculates the average by dividing the sum by
`n`

(total numbers).

```
n = 20
total_numbers = n
sum = 0
while n >= 0:
sum += n
n -= 1
print("sum =", sum)
# Output sum = 210
average = sum / total_numbers
print("Average = ", average)
# Output Average = 10.5
```

## Practice Problem: Add two matrices in Python

```
matrixOne = [[6,9,11],
[2 ,3,8]]
matrixTwo = [[15,18,11],
[26,16,19]]
# Result shoud be
result = [[0,0,0],
[0,0,0]]
```

**Solution**

```
matrixOne = [[6,9,11],
[2 ,3,8]]
matrixTwo = [[15,18,11],
[26,16,19]]
result = [[0,0,0],
[0,0,0]]
# First iterate rows
for i in range(len(matrixOne)):
# Second iterate columns
for j in range(len(matrixOne[0])):
result[i][j] = matrixOne[i][j] + matrixTwo[i][j]
print("Addition of two Matrix In Python")
for res in result:
print(res)
```

## Next steps

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**Solve**: