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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 of numbers placed from smallest to largest.
Question 2
Easy
What is a subsequence?
💡 Hint: Consider how you can pick elements but skip some.
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 defines a strictly decreasing sequence?
- All terms are equal
- Each term is less than the next
- Each term is greater than the next
💡 Hint: Visualize a staircase going down.
Question 2
True or False: A subsequence must consist of consecutive elements.
- True
- False
💡 Hint: Think about how you might skip numbers in a list.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that in any sequence of 10 distinct positive integers, there exists a subsequence of length 4 that is either strictly increasing or strictly decreasing.
💡 Hint: Look for the lengths you can compare among backs and see how they lead to pairs.
Question 2
Given a set of 15 random numbers, verify if the assertion that you can find a subsequence of length 5 that’s either increasing or decreasing holds true.
💡 Hint: Divide the numbers into groups based on parity and analyze their compositions.
Challenge and get performance evaluation