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34 lines
858 B
Python
34 lines
858 B
Python
"""
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This script demonstrates the implementation of the sum of squares of the first n natural numbers.
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The function takes an integer n as input and returns the sum of squares
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from 1 to n using the formula n(n + 1)(2n + 1) / 6. This formula computes the sum efficiently
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without the need for iteration.
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https://www.cuemath.com/algebra/sum-of-squares/
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"""
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def sum_of_squares(n: int) -> int:
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"""
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Implements the sum of squares formula for the first n natural numbers.
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Parameters:
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n (int): A positive integer representing the limit of the series
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Returns:
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sum_squares (int): The sum of squares of the first n natural numbers.
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Examples:
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>>> sum_of_squares(5)
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55
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>>> sum_of_squares(10)
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385
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"""
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return n * (n + 1) * (2*n + 1) // 6
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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