Practice - Validity of Proof by Induction
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Practice Questions
Test your understanding with targeted questions
What is the base case in proof by induction?
💡 Hint: Look for the lowest integer in the statement being proven.
What does the inductive step involve?
💡 Hint: Think of the chain reaction that follows the initial proof.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the first step in proof by induction?
💡 Hint: Remember, it’s the initial integer being validated.
In induction, the inductive hypothesis refers to:
💡 Hint: Focus on what you assume while proving.
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Challenge Problems
Push your limits with advanced challenges
Prove using regular induction that 2^n > n^3 for all n ≥ 10.
💡 Hint: Express 2^(k + 1) in terms of 2^k.
Using strong induction, prove that every integer greater than or equal to 6 can be expressed as a sum of 3 and 4.
💡 Hint: Use previous sums to build towards the next.
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