Practice Mathematical Problems (6.3.1) - Demonstrate Proficiency in Recursive Problem-Solving
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Mathematical Problems

Practice - Mathematical Problems

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Practice Questions

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Question 1 Easy

What is the factorial of 4?

💡 Hint: Calculate step-by-step using the definition of factorial.

Question 2 Easy

Write the base case for calculating Fibonacci numbers.

💡 Hint: Think about the starting numbers of the sequence.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is 5! equal to?

120
24
60

💡 Hint: Recall how factorials are calculated.

Question 2

The Fibonacci sequence starts with which two numbers?

1
1
0
1
1
2

💡 Hint: Think about the definition of the sequence.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Write a recursive function to generate the nth number in the Fibonacci sequence. Ensure to handle base cases efficiently.

💡 Hint: Think about how you can store previously calculated Fibonacci numbers.

Challenge 2 Hard

Create a recursive function to compute x raised to the power n using divide-and-conquer approach (exponential powers).

💡 Hint: Consider how you can reduce n by half with each call.

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