Practice - Counting Using Recurrence Equations
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Practice Questions
Test your understanding with targeted questions
Define a recurrence equation.
💡 Hint: Think about how you can express one term through others.
What is A(1) for bit strings not containing consecutive zeros?
💡 Hint: Consider the possible 1-bit strings.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a recurrence equation?
💡 Hint: Think of its role in sequences.
True or False: The Fibonacci sequence is an example of a recurrence relation.
💡 Hint: Consider how Fibonacci numbers relate.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Consider an application where you are counting paths in a grid that do not retrace steps. How would you set up a recurrence relation?
💡 Hint: Consider possible moves at each grid point.
Propose a unique challenge problem involving recurrence relations that is applicable in computer algorithms.
💡 Hint: Explore how to build trees based on left and right nodes.
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