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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a recurrence equation?
💡 Hint: Think about how one term depends on another.
Question 2
Easy
Define initial conditions.
💡 Hint: These are often the first few terms known in the sequence.
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 an example of a straightforward recurrence equation?
- F(n) = F(n-1) + F(n-2)
- F(n) = F(n-1) * 2
- F(n) = n + 5
💡 Hint: Think about famous sequences in mathematics.
Question 2
True or False: The Fibonacci sequence is an example of a non-homogeneous recurrence relationship.
- True
- False
💡 Hint: Consider the properties of linearity in the sequence.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a recurrence relation defined by a(n) = 2a(n-1) + 3 for n >= 2 with a(1) = 1. Find a(5).
💡 Hint: Continue replacing n with earlier terms.
Question 2
Using the relation T(n) = T(n-1) + T(n-2) for n >= 2 and T(0)=0, T(1)=1, derive the first four terms of T.
💡 Hint: Use identified values iteratively.
Challenge and get performance evaluation