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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does F(n) represent in a linear non-homogeneous recurrence equation?
💡 Hint: Think about its role in the equation.
Question 2
Easy
How do we derive the associated homogeneous relation?
💡 Hint: What do we need to focus on when we remove F(n)?
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 characterizes a non-homogeneous recurrence equation?
- Only previous terms
- Previous terms and a function of n
- Only constants
💡 Hint: Focus on the additional term's role.
Question 2
True or False: The associated homogeneous relation is derived by adding F(n).
- True
- False
💡 Hint: What happens to F(n) in the homogeneous equation?
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Solve the recurrence relation a(n) = 2a(n-1) + 3n with a(0) = 0.
💡 Hint: Consider the polynomial form that matches F(n).
Question 2
Demonstrate how to apply the theorem to find particular solutions of a recurrence: a(n) = a(n-1) + 5 with a(0) = 1.
💡 Hint: Look at the constant terms in your guesses.
Challenge and get performance evaluation