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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: 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) Calculates the sum of the first 'n' terms of an arithmetic progression (AP)
series with the first term 'a' and common difference 'd'. series with the first term 'a' and common difference 'd'.
Parameters: Parameters:
a (int): The first term of the AP. a (int): The first term of the AP.
d (int): The common difference between terms. 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: if n <= 0:
raise ValueError("Number of terms 'n' must be a positive integer") 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) # Formula for the sum of an AP series: S_n = n/2 * (2a + (n-1) * d)
return n * (2 * a + (n - 1) * d) // 2 return n * (2 * a + (n - 1) * d) // 2
#Reeka
# Reeka