https en wikipedia orgwikiharmonicprogressionmathematics find the sum of n terms in an harmonic progression the calculation starts with the firstterm and loops adding the common difference of arithmetic progression by which the given harmonic progression is linked sumofharmonicprogression1 2 2 2 0 75 sumofharmonicprogression1 5 5 5 0 45666666666666667 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
def sum_of_harmonic_progression(
    first_term: float, common_difference: float, number_of_terms: int
) -> float:
    
    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))