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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a strictly increasing sequence.
💡 Hint: Think about how numbers can be arranged.
Question 2
Easy
What does the Pigeonhole Principle state?
💡 Hint: Consider how this applies to simple grouping.
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 sequence?
- A sequence where all elements are the same
- A sequence where each element is larger than the previous
- A sequence in descending order
💡 Hint: Think about how numbers grow.
Question 2
True or False: The Pigeonhole Principle can always be applied to find a repeated value in sets.
- True
- False
💡 Hint: Reflect on grouping elements.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the set of integers {1, 2, ..., 10}, prove that in any selection of 6 values, either there will be a strictly increasing or a strictly decreasing subsequence of length 4.
💡 Hint: Think about maximum sequences you can get.
Question 2
For the sequence (3, 5, 2, 4, 1), identify the increasing and decreasing subsequences of maximum length.
💡 Hint: Look for sequences that can skip numbers.
Challenge and get performance evaluation