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
Define a homogeneous recurrence relation.
💡 Hint: Think about equations that involve only previous terms.
Question 2
Easy
What is the purpose of finding a particular solution?
💡 Hint: Consider how it completes the solution.
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 do we do first to solve a non-homogeneous recurrence equation?
- Solve for the particular solution
- Check initial conditions
- Form the associated homogeneous recurrence relation
💡 Hint: Recall the steps we discussed.
Question 2
Consider the function F(n) = n. Is this homogeneous?
- True
- False
💡 Hint: Think about what defines a homogeneous function.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the recurrence relation a(n) = 2a(n-1) + 3^n, what steps must be taken to solve for a(n)?
💡 Hint: Focus on identifying homogeneous and non-homogeneous parts.
Question 2
For the relation T(n) = T(n-1) + n^k with k being a constant. What do you consider when solving it?
💡 Hint: The degree of the polynomial should match the degree of F(n).
Challenge and get performance evaluation