Practice - Conclusion of Induction
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Practice Questions
Test your understanding with targeted questions
What is the base case in mathematical induction?
💡 Hint: Think of the smallest number in the natural numbers.
Describe the inductive step.
💡 Hint: It connects two consecutive numbers.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the base case in mathematical induction?
💡 Hint: Consider the smallest integer in the set.
True or False: The inductive step proves the statement for all natural numbers.
💡 Hint: Think of the inductive step as stepping to the next number only.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove by induction that for every n >= 1, 3^n > n^3.
💡 Hint: Consider how exponents on both sides can reveal the inequality.
Show by induction that the Fibonacci sequence satisfies F(n) = F(n-1) + F(n-2) easily using n=2 as the base case.
💡 Hint: Refer to the definition of Fibonacci to structure your proof.
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