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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define 'subsequence' in your own words.
💡 Hint: Think about how you might pick numbers from a list without changing their order.
Question 2
Easy
Give an example of a strictly increasing sequence.
💡 Hint: All the numbers must get bigger as you move along!
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 subsequence?
💡 Hint: Think about how you can rearrange numbers while keeping some of them in order.
Question 2
True or False: Every sequence of n distinct numbers contains a strictly increasing subsequence of length n.
- True
- False
💡 Hint: Consider what happens in sequences with positive and negative numbers.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the sequence of numbers 10, 20, 15, 25, 30, 5, find a subsequence that is strictly increasing.
💡 Hint: Look for numbers that ascend without backtracking.
Question 2
You have a sequence with elements randomly ordered. How would you apply the pigeonhole principle to demonstrate the existence of either an increasing or decreasing subsequence?
💡 Hint: Make a table categorizing your sequences and their potential lengths.
Challenge and get performance evaluation