Practice - Contradiction and Conclusion
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define a strictly increasing sequence.
💡 Hint: Think about a ladder.
What does a subsequence mean?
💡 Hint: It's like taking steps, skipping some.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What type of sequence has all numbers increasing?
💡 Hint: Consider the sequence like stairs going up.
True or False: A subsequence can skip elements.
💡 Hint: Think about selecting without restricting proximity.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Given a sequence of 10 random integers, prove that there exists a strictly increasing or decreasing subsequence with length 5.
💡 Hint: Break down the numbers into subsequences and analyze their lengths.
Create a sequence of 12 distinct numbers and identify an increasing or decreasing subsequence of at least 7 numbers.
💡 Hint: Try ascending and descending order to guide your selection.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.