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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: Look for the lowest integer in the statement being proven.
Question 2
Easy
What does the inductive step involve?
💡 Hint: Think of the chain reaction that follows the initial proof.
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 proof by induction?
💡 Hint: Remember, it’s the initial integer being validated.
Question 2
In induction, the inductive hypothesis refers to:
- A standard assumption
- The assumption that a property holds for k
- The final step
💡 Hint: Focus on what you assume while proving.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove using regular induction that 2^n > n^3 for all n ≥ 10.
💡 Hint: Express 2^(k + 1) in terms of 2^k.
Question 2
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.
Challenge and get performance evaluation