# Python: Recursion - Exercises, Practice, Solution

## Recursion [ 11 exercises with solution]

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1. Write a Python program to calculate the sum of a list of numbers using recursion.
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2. Write a Python program to convert an integer to a string in any base using recursion .
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3. 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. Write a Python program to get the factorial of a non-negative integer using recursion.
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5. Write a Python program to solve the Fibonacci sequence using recursion.
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6. 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. 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. 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 :

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