Practice - Applying Restrictions and Solving
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Practice Questions
Test your understanding with targeted questions
What defines a strictly increasing sequence?
💡 Hint: Think of a sequence going up.
Identify a subsequence in (2, 4, 1, 5, 3).
💡 Hint: Look for numbers you can skip.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a strictly increasing sequence?
💡 Hint: Think of climbing a staircase.
True or False: A subsequence must consist of consecutive numbers.
💡 Hint: Recall the definition.
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Challenge Problems
Push your limits with advanced challenges
Find a strictly increasing subsequence in the set {1, 8, 5, 11, 6, 9}.
💡 Hint: Pick numbers that move upward.
Show using the pigeonhole principle that in any group of 10 people with distinct heights, at least two must have a sequence of either increasing or decreasing heights.
💡 Hint: Link heights with subsequences.
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Reference links
Supplementary resources to enhance your learning experience.