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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a recurrence relation for the sequence where each term is the sum of the previous two.
💡 Hint: Think of a sequence like Fibonacci.
Question 2
Easy
What is the base case for a recurrence relation?
💡 Hint: Look for the starting value of 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 a recurrence relation?
- A sequence defined with initial values
- An equation defining a sequence recursively
- A method for linear equations
💡 Hint: Recurrence often involves sequences, think of Fibonacci.
Question 2
True or False: Recurrence relations are not used in programming.
- True
- False
💡 Hint: Think of recursion and dynamic programming.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the closed-form solution for the recurrence relation a_n = 3a_{n-1} - 2, a_1 = 2.
💡 Hint: Consider iterating the first few terms.
Question 2
Discuss how recurrence relations could optimize a recursive function for calculating factorial.
💡 Hint: Look at storing values of the factorial calculation.
Challenge and get performance evaluation