Practice Inductive Definitions (18.1.1) - Recursion - Data Structures and Algorithms in Python
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Inductive Definitions

Practice - Inductive Definitions

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Practice Questions

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Question 1 Easy

What is the factorial of 3?

💡 Hint: Calculate `3 * 2 * 1`.

Question 2 Easy

What are the first two terms of the Fibonacci series?

💡 Hint: Start with `1 + 1`.

4 more questions available

Interactive Quizzes

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Question 1

What is the factorial of five?

20
60
120

💡 Hint: Multiply `5` by the factorial of `4`.

Question 2

True or False: The Fibonacci sequence starts with 0 and 1.

True
False

💡 Hint: Think about how the sequence is generated.

2 more questions available

Challenge Problems

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Challenge 1 Hard

Create an iterative version of the recursive factorial function and discuss its time complexity.

💡 Hint: Think about how you would replace recursive calls with an explicit loop.

Challenge 2 Hard

Design a recursive function in Python to compute all the Fibonacci numbers up to a given value. Explain how your approach ensures efficiency.

💡 Hint: Consider using a dictionary to cache results.

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