maths.sum_of_arithmetic_series

Functions

sum_of_ap_series(→ int)

Calculates the sum of the first 'n' terms of an arithmetic progression (AP)

Module Contents

maths.sum_of_arithmetic_series.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. n (int): The number of terms to sum.

Returns: int: The sum of the first ‘n’ terms of the AP.

Examples: >>> sum_of_ap_series(1, 1, 5) # Sum of first 5 natural numbers 15 >>> sum_of_ap_series(2, 3, 4) # Sum of 2, 5, 8, 11 26 >>> sum_of_ap_series(5, 0, 3) # Sum of 5, 5, 5 15 >>> sum_of_ap_series(1, 2, 1) # Single term AP series 1 >>> sum_of_ap_series(1, -1, 5) # Decreasing AP series -5 >>> sum_of_ap_series(1, 1, -5) # Negative ‘n’ should raise an error Traceback (most recent call last): … ValueError: Number of terms ‘n’ must be a positive integer >>> sum_of_ap_series(1, 1, 0) # Zero terms should also raise an error Traceback (most recent call last): … ValueError: Number of terms ‘n’ must be a positive integer