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master
maths/sum_of_harmonic_series.py
29 строк
989 B
Akshit Gulyan
Created sum_of_harmonic_series.py (#7504)
23 окт 2022, 07:29
Не верифицирован
23 окт 2022, 07:29
ed12703
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def sum_of_harmonic_progression( first_term: float, common_difference: float, number_of_terms: int ) -> float: """ https://en.wikipedia.org/wiki/Harmonic_progression_(mathematics) Find the sum of n terms in an harmonic progression. The calculation starts with the first_term and loops adding the common difference of Arithmetic Progression by which the given Harmonic Progression is linked. >>> sum_of_harmonic_progression(1 / 2, 2, 2) 0.75 >>> sum_of_harmonic_progression(1 / 5, 5, 5) 0.45666666666666667 """ arithmetic_progression = [1 / first_term] first_term = 1 / first_term for _ in range(number_of_terms - 1): first_term += common_difference arithmetic_progression.append(first_term) harmonic_series = [1 / step for step in arithmetic_progression] return sum(harmonic_series) if __name__ == "__main__": import doctest doctest.testmod() print(sum_of_harmonic_progression(1 / 2, 2, 2))