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pre-commit-ci[bot] 2024-10-25 19:37:29 +00:00
parent 32634eff5a
commit 7800f1e645
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10
maths/sum_of_arithmetic_series.py
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@ -1,9 +1,9 @@
#Reeka
# Reeka
def sum_of_ap_series(a: int, d: int, n: int) -> int:
"""
Calculates the sum of the first 'n' terms of an arithmetic progression (AP)
series with the first term 'a' and common difference 'd'.
Parameters:
a (int): The first term of the AP.
d (int): The common difference between terms.
@ -34,7 +34,9 @@ def sum_of_ap_series(a: int, d: int, n: int) -> int:
"""
if n <= 0:
raise ValueError("Number of terms 'n' must be a positive integer")
# Formula for the sum of an AP series: S_n = n/2 * (2a + (n-1) * d)
return n * (2 * a + (n - 1) * d) // 2
#Reeka
# Reeka