Practice Recurrence Equation for Bad Strings - 16.2.3 | 16. Valid Sequences Analysis | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the value of B(1)?

💡 Hint: Think of the possible single-bit strings.

Question 2

Easy

List three categories of bad strings.

💡 Hint: Consider different starting conditions for 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 the recurrence relation for B(n)?

  • B(n) = B(n-1) + B(n-2) + B(n-3)
  • B(n) = B(n-1)
  • B(n) = B(n-2) + B(n-3)

💡 Hint: Recall our categories of bad strings.

Question 2

Is B(3) equal to 4?

  • True
  • False

💡 Hint: List all valid strings of length 3.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Calculate B(5) based on previous values.

💡 Hint: Keep applying the derived relation repeatedly.

Question 2

Provide a comprehensive proof of B(n) as a generating function.

💡 Hint: Involve elements from your string category counts.

Challenge and get performance evaluation