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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the first step in a proof by induction?
💡 Hint: It’s the initial case in the sequence.
Question 2
Easy
What does the inductive step involve?
💡 Hint: It’s about moving one step forward.
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 two components make proof by induction?
- Base Case and Inductive Step
- Base Case and Final Step
- Initial Step and Induction
💡 Hint: Think about what structure the proof follows.
Question 2
True or False: Strong induction requires proving each previous case independently.
- True
- False
💡 Hint: Remember the differences in dependencies between both methods.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove by induction that the product of the first n odd numbers is given by n^2.
💡 Hint: Look for a pattern or formula involving squares.
Question 2
Use strong induction to show that every integer greater than or equal to 12 can be obtained using combinations of 4s and 5s.
💡 Hint: Consider several ways to break down k + 1.
Challenge and get performance evaluation