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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the base case in proof by induction?
💡 Hint: Think about the starting point of your proof.
Question 2
Easy
Define regular induction in simple terms.
💡 Hint: Remember the one-step assumption.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the first step in a proof by induction?
- Base Case
- Inductive Step
- Conclusion
💡 Hint: What do you need to prove first in induction?
Question 2
In strong induction, how many prior cases can you use?
- Only one
- All prior cases
- None
💡 Hint: Think about how far back can you go in your assumptions.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove by induction that 3^n > n^3 for all n ≥ 4.
💡 Hint: What transformation can you apply to connect k and k+1?
Question 2
Use both regular and strong induction to show that all integers greater than 1 can be expressed as a product of primes.
💡 Hint: Consider the characteristics of prime vs composite numbers.
Challenge and get performance evaluation