mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-30 16:31:08 +00:00
4d0a8f2355
* optimized recursive_bubble_sort
* Fixed doctest error due whitespace
* reduce loop times for optimization
* fixup! Format Python code with psf/black push
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
29 lines
939 B
Python
29 lines
939 B
Python
def sum_of_geometric_progression(
|
|
first_term: int, common_ratio: int, num_of_terms: int
|
|
) -> float:
|
|
""" "
|
|
Return the sum of n terms in a geometric progression.
|
|
>>> sum_of_geometric_progression(1, 2, 10)
|
|
1023.0
|
|
>>> sum_of_geometric_progression(1, 10, 5)
|
|
11111.0
|
|
>>> sum_of_geometric_progression(0, 2, 10)
|
|
0.0
|
|
>>> sum_of_geometric_progression(1, 0, 10)
|
|
1.0
|
|
>>> sum_of_geometric_progression(1, 2, 0)
|
|
-0.0
|
|
>>> sum_of_geometric_progression(-1, 2, 10)
|
|
-1023.0
|
|
>>> sum_of_geometric_progression(1, -2, 10)
|
|
-341.0
|
|
>>> sum_of_geometric_progression(1, 2, -10)
|
|
-0.9990234375
|
|
"""
|
|
if common_ratio == 1:
|
|
# Formula for sum if common ratio is 1
|
|
return num_of_terms * first_term
|
|
|
|
# Formula for finding sum of n terms of a GeometricProgression
|
|
return (first_term / (1 - common_ratio)) * (1 - common_ratio ** num_of_terms)
|