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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a subsequence?
💡 Hint: Think of sequences like (1, 3, 2). Which numbers can form a subsequence?
Question 2
Easy
Define a strictly increasing sequence.
💡 Hint: Consider the sequence (a, b, c) — what should a be compared to b?
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 strictly increasing subsequence?
- Elements can be equal
- Each element is less than the previous
- Each element is greater than the previous
💡 Hint: Think of an example where this applies.
Question 2
True or False - Every sequence of 5 distinct real numbers contains a subsequence of length 5 that is either increasing or decreasing.
- True
- False
💡 Hint: Reflect on the definition of subsequences.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove the statement with a specific example of seven distinct real numbers.
💡 Hint: Arrange numbers visually to help identify patterns.
Question 2
Demonstrate the pigeonhole principle clearly with 10 numbers and 3 distinct categories (such as odd, even).
💡 Hint: Digging into the counts will help clarify.
Challenge and get performance evaluation