2.3 - Advanced Counting Mechanisms
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Practice Questions
Test your understanding with targeted questions
Define a recurrence relation for the sequence where each term is the sum of the previous two.
💡 Hint: Think of a sequence like Fibonacci.
What is the base case for a recurrence relation?
💡 Hint: Look for the starting value of the sequence.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a recurrence relation?
💡 Hint: Recurrence often involves sequences, think of Fibonacci.
True or False: Recurrence relations are not used in programming.
💡 Hint: Think of recursion and dynamic programming.
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Challenge Problems
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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.
Discuss how recurrence relations could optimize a recursive function for calculating factorial.
💡 Hint: Look at storing values of the factorial calculation.
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