Practice - Base Case and Inductive Step
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the base case in proof by induction?
💡 Hint: Think about where we start in proving our statement.
State the two main components of proof by induction.
💡 Hint: Both terms start with the letter 'b' and 'i'.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What are the two main components of proof by induction?
💡 Hint: Both terms depict the foundational aspects of a proof.
True or False: Strong induction assumes only the property for k to prove k+1.
💡 Hint: Reflect on what 'strong' means in this context.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Prove by induction that for all n >= 1, the sum of the first n even numbers is n(n + 1).
💡 Hint: Use the formula for the sum of the first k even numbers.
Use strong induction to prove that every positive integer greater than 1 is either prime or can be factored into primes.
💡 Hint: Examine the factors of k + 1 in relation to those below it.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.