Write a Python program to calculate the geometric sum of n-1.Note: In mathematics, a geometric series is a series with a constant ratio between successive terms.
Question
Write a Python program to calculate the geometric sum of n-1.Note: In mathematics, a geometric series is a series with a constant ratio between successive terms.
Solution
Sure, here is a simple Python program that calculates the geometric sum of n-1. This program assumes that the first term (a) is 1 and the common ratio (r) is 1/2.
def geometric_sum(n):
if n<0:
return 0
else:
return 1/(2**n) + geometric_sum(n-1)
# Test the function
print(geometric_sum(3)) # Output: 0.875
In this program, the geometric_sum function is a recursive function that calculates the geometric sum of n-1. The base case for the recursion is when n is less than 0, in which case the function returns 0. For n greater than or equal to 0, the function calculates the nth term of the geometric series (which is 1/(2**n)) and adds it to the geometric sum of the previous n-1 terms.
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