Practice - Strong Induction
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Practice Questions
Test your understanding with targeted questions
What is the base case in proof by induction?
💡 Hint: Think about the starting point of your proof.
Define regular induction in simple terms.
💡 Hint: Remember the one-step assumption.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the first step in a proof by induction?
💡 Hint: What do you need to prove first in induction?
In strong induction, how many prior cases can you use?
💡 Hint: Think about how far back can you go in your assumptions.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Prove by induction that 3^n > n^3 for all n ≥ 4.
💡 Hint: What transformation can you apply to connect k and k+1?
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.
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