From ed127032b303d06f2c1ceefd58a8680bb4c2ce50 Mon Sep 17 00:00:00 2001 From: Akshit Gulyan <103456810+AkshitGulyan@users.noreply.github.com> Date: Sun, 23 Oct 2022 09:59:10 +0530 Subject: [PATCH] Created sum_of_harmonic_series.py (#7504) * Created sum_of_harmonic_series.py Here in this code the formula for Harmonic sum is not used, Sum of the series is calculated by creating a list of the elements in the given Harmonic series and adding all the elements of that list ! * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Update maths/sum_of_harmonic_series.py Co-authored-by: Chris O <46587501+ChrisO345@users.noreply.github.com> * Update maths/sum_of_harmonic_series.py Co-authored-by: Chris O <46587501+ChrisO345@users.noreply.github.com> * Update maths/sum_of_harmonic_series.py Co-authored-by: Chris O <46587501+ChrisO345@users.noreply.github.com> * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Update maths/sum_of_harmonic_series.py Co-authored-by: Christian Clauss * Update maths/sum_of_harmonic_series.py Co-authored-by: Christian Clauss * Update maths/sum_of_harmonic_series.py Co-authored-by: Christian Clauss * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Update sum_of_harmonic_series.py * Add doctests * Update sum_of_harmonic_series.py Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com> Co-authored-by: Chris O <46587501+ChrisO345@users.noreply.github.com> Co-authored-by: Christian Clauss --- maths/sum_of_harmonic_series.py | 29 +++++++++++++++++++++++++++++ 1 file changed, 29 insertions(+) create mode 100644 maths/sum_of_harmonic_series.py 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))