Practice - Base Case and Inductive Hypothesis
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Practice Questions
Test your understanding with targeted questions
What is the base case in proof by induction?
💡 Hint: Think about the smallest natural number applicable.
What does the inductive hypothesis assume?
💡 Hint: Consider what you need to prove next.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the first step in proof by induction?
💡 Hint: Think about where you start before building upon your argument.
True or False: The inductive hypothesis is the part of the proof where we assume the statement is true for k.
💡 Hint: Consider what is required to build upon your assumption.
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Challenge Problems
Push your limits with advanced challenges
Prove that the formula for the sum of the first n odd numbers is n^2 using induction.
💡 Hint: Focus on the algebraic manipulation of odd numbers.
Show that for any integer n >= 1, 2^n - 1 is divisible by n.
💡 Hint: Factorize and explore the properties of exponential numbers.
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Reference links
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