Practice - Introduction to Proof by Induction
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Practice Questions
Test your understanding with targeted questions
What is the first step in a proof by induction?
💡 Hint: It’s the initial case in the sequence.
What does the inductive step involve?
💡 Hint: It’s about moving one step forward.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What two components make proof by induction?
💡 Hint: Think about what structure the proof follows.
True or False: Strong induction requires proving each previous case independently.
💡 Hint: Remember the differences in dependencies between both methods.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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Reference links
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