Python Math: Calculate the difference between the squared sum and the sum of squared of first n natural numbers

Last update on April 24 2025 12:44:43 (UTC/GMT +8 hours)

11. Difference of Squares Sum and Sum of Squares

Write a Python program to calculate the difference between the squared sum of the first n natural numbers and the sum of squared first n natural numbers.(default value of number=2).

Sample Solution:

Python Code:

def sum_difference(n=2):
    sum_of_squares = 0
    square_of_sum = 0
    for num in range(1, n+1):
        sum_of_squares += num * num
        square_of_sum += num

    square_of_sum = square_of_sum ** 2

    return square_of_sum - sum_of_squares


print(sum_difference(12))

Sample Output:

5434

Pictorial Presentation:

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Python program to calculate the difference between the square of the sum and the sum of the squares of the first n natural numbers, and print the result.
• Write a Python function that computes both the square of the sum and the sum of the squares for n numbers, then returns their difference.
• Write a Python script to verify the difference calculation for a range of n values and output the result in a formatted table.
• Write a Python program to compare the computed difference for n=12 with that of n=10 and n=15, and then print the comparisons.

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Python Code Editor:

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