Practice Recurrence Equation For Bad Strings (16.2.3) - Valid Sequences Analysis
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Recurrence Equation for Bad Strings

Practice - Recurrence Equation for Bad Strings

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Calculate B(5) based on previous values.

💡 Hint: Keep applying the derived relation repeatedly.

Challenge 2 Hard

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

💡 Hint: Involve elements from your string category counts.

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Reference links

Supplementary resources to enhance your learning experience.