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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a valid sequence in your own words.
💡 Hint: Think about the properties that define a sequence.
Question 2
Easy
What does the function \(S(n)\) represent?
💡 Hint: Consider the meaning of sequences in increasing order.
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 the form of the recurrence relation derived in this section?
- S(n) = S(n-1) + S(n-2)
- S(n) = 2S(n-1)
- S(n) = S(n-1) + S(n)
💡 Hint: Recall the formula discussed during the session regarding the last term.
Question 2
True or False: The number of valid sequences with \(n=1\) is greater than with \(n=2\).
- True
- False
💡 Hint: Think back to the initial conditions we confirmed.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given \(n=4\), calculate all differing valid sequences and confirm \(S(4)\).
💡 Hint: Consider each element's position and how many can fit in the sequence.
Question 2
Explore how introducing another initial condition alters the recurrence.
💡 Hint: This involves checking sequences' sizes and corresponding counts.
Challenge and get performance evaluation