Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the base condition for counting strings of length 1 and 2?
💡 Hint: Think of the possible strings.
Question 2
Easy
Write the recurrence relation for counting bit strings with no consecutive zeros.
💡 Hint: Think about where a string can start.
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?
💡 Hint: Consider how terms can be calculated based on earlier values.
Question 2
True or False: The Fibonacci sequence is an example of a recurrence relation.
- True
- False
💡 Hint: Think of how Fibonacci is traditionally defined.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given C(1) = 2, C(2) = 3. Using the derived relation, calculate C(8) and provide the reasoning for each step.
💡 Hint: Draw out or visualize a tree for each sequence.
Question 2
Construct a different counting function that also uses a recurrence relation and compare its properties with our strings without consecutive zeros.
💡 Hint: Identify how many strings might be invalid and adjust the relations accordingly.
Challenge and get performance evaluation