Program8.md

Write a program to print the sum of numbers from 1 to 10

Here’s a Python program to print the sum of numbers from 1 to 10:

Code:

# Function to calculate the sum of numbers from 1 to 10
def sum_of_numbers():
    total = 0
    for i in range(1, 11):
        total += i
    return total

# Call the function and print the result
print("The sum of numbers from 1 to 10 is:", sum_of_numbers())

Explanation:

1. The for loop iterates over the numbers from 1 to 10.
2. The total variable accumulates the sum of these numbers.
3. The final sum is returned and printed.

We can use the formula for the sum of the first ( n ) natural numbers, which is given by:

[ \text{sum} = \frac{n(n+1)}{2} ]

For ( n = 10 ), the formula becomes:

[ \text{sum} = \frac{10(10+1)}{2} ]

Python Code:

# Function to calculate the sum using the arithmetic series formula
def sum_of_numbers(n):
    return n * (n + 1) // 2  # Integer division is used to avoid floating-point results

# Calculate and print the sum of numbers from 1 to 10
n = 10
print("The sum of numbers from 1 to 10 is:", sum_of_numbers(n))

Explanation:

• The formula ( \frac{n(n+1)}{2} ) is implemented in the sum_of_numbers() function.
• For ( n = 10 ), the function computes the sum as ( \frac{10(10+1)}{2} = 55 ).
• The // operator ensures that the result is an integer.