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maths/sum_of_squares.py
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@ -1,13 +1,14 @@
"""
This script demonstrates the implementation of the sum of squares of the first n natural numbers.
The function takes an integer n as input and returns the sum of squares
The function takes an integer n as input and returns the sum of squares
from 1 to n using the formula n(n + 1)(2n + 1) / 6. This formula computes the sum efficiently
without the need for iteration.
https://www.cuemath.com/algebra/sum-of-squares/
"""
def sum_of_squares(n: int) -> int:
"""
Implements the sum of squares formula for the first n natural numbers.
@ -25,9 +26,10 @@ def sum_of_squares(n: int) -> int:
>>> sum_of_squares(10)
385
"""
return n * (n + 1) * (2*n + 1) // 6
return n * (n + 1) * (2 * n + 1) // 6
if __name__ == "__main__":
import doctest
doctest.testmod()