w3resource

Python Data Structures and Algorithms - Recursion: Calculate the geometric sum

Python Recursion: Exercise-9 with Solution

Write a Python program to calculate the geometric sum up to 'n' terms.
Note : In mathematics, a geometric series is a series with a constant ratio between successive terms.

Sample Solution:

Python Code:

# Define a function named geometric_sum that calculates the geometric sum up to 'n' terms
def geometric_sum(n):
    # Check if 'n' equals 0, which is the base case for the geometric sum
    if n == 0:  # Corrected base case condition
        # If 'n' equals 0, return 1 as the geometric sum in this case is 1
        return 1
    else:
        # If 'n' is not 0, calculate the term in the geometric series (1 / 2^n) and add it to
        # the result of recursively calling the geometric_sum function with 'n - 1'
        return 1 / (pow(2, n)) + geometric_sum(n - 1)
# Print the result of calling the geometric_sum function with the input value 7
print(geometric_sum(7))
# Print the result of calling the geometric_sum function with the input value 4
print(geometric_sum(4))

Sample Output:

1.9921875                                                                                                     
1.9375 

Flowchart:

Flowchart: Recursion: Calculate the geometric sum.

Python Code Editor:

Contribute your code and comments through Disqus.

Previous: Write a Python program to calculate the harmonic sum of n-1.
Next: Write a Python program to calculate the value of 'a' to the power 'b'.

What is the difficulty level of this exercise?

Test your Programming skills with w3resource's quiz.



Follow us on Facebook and Twitter for latest update.