Practice Setting up the Recurrence Equation - 13.3 | 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 one term leads to another.

Question 2

Easy

What is A(1) for strings of length 1 without consecutive zeros?

💡 Hint: Consider what strings are valid.

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 relation?

  • A method for counting
  • An equation using previous terms
  • A counting pattern

💡 Hint: Think of sequences you know.

Question 2

True or False: Initial conditions are irrelevant in recurrence equations.

  • True
  • False

💡 Hint: Consider the beginning of a countdown.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Using A(n) = A(n-1) + A(n-2), find A(6), given A(5) and A(4).

💡 Hint: You may count on A(5) being a certain value that you previously obtained.

Question 2

Create your own recurrence relation and solve for the first five terms.

💡 Hint: Start small and build up just like adding events on a timeline.

Challenge and get performance evaluation