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Python: Recursion - Exercises, Practice, Solution


This resource offers a total of 55 Python Recursion problems for practice. It includes 11 main exercises, each accompanied by solutions, detailed explanations, and four related problems.

[An Editor is available at the bottom of the page to write and execute the scripts.]


1. Sum of List Using Recursion

Write a Python program to calculate the sum of a list of numbers using recursion.

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2. Integer to String Conversion in Any Base Using Recursion

Write a Python program to convert an integer to a string in any base using recursion .

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3. Sum of Nested Lists Using Recursion

Write a Python program to sum recursion lists using recursion.

Test Data: [1, 2, [3,4], [5,6]]
Expected Result: 21
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4. Factorial Using Recursion

Write a Python program to get the factorial of a non-negative integer using recursion.

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5. Fibonacci Sequence Using Recursion

Write a Python program to solve the Fibonacci sequence using recursion.

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6. Sum of Digits of an Integer Using Recursion

Write a Python program to get the sum of a non-negative integer using recursion.

Test Data:
sumDigits(345) -> 12
sumDigits(45) -> 9
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7. Sum of Series n + (n-2) + (n-4) ... Using Recursion

Write a Python program to calculate the sum of the positive integers of n+(n-2)+(n-4)... (until n-x =< 0) using recursion .

Test Data:
sum_series(6) -> 12
sum_series(10) -> 30
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8. Harmonic Series Sum Using Recursion

Write a Python program to calculate the sum of harmonic series upto n terms.

Note: The harmonic sum is the sum of reciprocals of the positive integers.
Example :

harmonic series

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9. Geometric Series Sum Using Recursion

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.

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10. Exponentiation Using Recursion

Write a Python program to calculate the value of 'a' to the power of 'b' using recursion.

Test Data :
(power(3,4) -> 81
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11. Greatest Common Divisor (GCD) Using Recursion

Write a Python program to find the greatest common divisor (GCD) of two integers using recursion.

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