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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: Think of the first value where the property must hold true.
Question 2
Easy
What must be proven in the inductive step?
💡 Hint: Consider what happens when you move to the next number.
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?
- Proving the base case
- Proving the inductive step
- Drawing a conclusion
💡 Hint: It is what sets the stage for the entire induction.
Question 2
Is strong induction different from regular induction?
- True
- False
💡 Hint: Think about how many cases can be assumed.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove using induction that for all n >= 1, the sum of the first n integers is equal to n(n + 1)/2.
💡 Hint: Think about how you can break down the sum at k + 1.
Question 2
Show that every integer greater than or equal to 40 can be represented as a sum of 4’s and 5’s using strong induction.
💡 Hint: Focus on how the numbers can be formed by combining earlier proven cases.
Challenge and get performance evaluation