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 defines a strictly increasing sequence?
💡 Hint: Think about a sequence of numbers.
Question 2
Easy
Provide an example of a recurrence relation.
💡 Hint: Consider sequences that build on previous terms.
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 strictly increasing sequences?
- a(n) = a(n-1) + a(n-2)
- a(n) = a(n-1) + a(n-2) + a(n-3)
- a(n) = 2 * a(n-1)
💡 Hint: Think about how sequences can build upon each other.
Question 2
True or False: The initial condition a(1) must be 1.
- True
- False
💡 Hint: Recall the basics of sequence counting.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using the given recurrence, find a(n) for n = 6 if a(1) = 1 and a(2) = 1.
💡 Hint: Refer back to earlier initial conditions.
Question 2
Prove that a(n) is greater than 0 for n >= 1.
💡 Hint: Induction can help here.
Challenge and get performance evaluation