Practice Counting Using Recurrence Equations - 13 | 13. Counting Using Recurrence Equations | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a recurrence equation.

💡 Hint: Think about how you can express one term through others.

Question 2

Easy

What is A(1) for bit strings not containing consecutive zeros?

💡 Hint: Consider the possible 1-bit strings.

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 a recurrence equation?

  • A function of previous outputs
  • A linear equation
  • An iterative formula

💡 Hint: Think of its role in sequences.

Question 2

True or False: The Fibonacci sequence is an example of a recurrence relation.

  • True
  • False

💡 Hint: Consider how Fibonacci numbers relate.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation