diff --git a/maths/sum_of_harmonic_series.py b/maths/sum_of_harmonic_series.py new file mode 100644 index 000000000..9e0d6b19b --- /dev/null +++ b/maths/sum_of_harmonic_series.py @@ -0,0 +1,29 @@ +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))