Practice Applying Restrictions and Solving - 18.4.2 | 18. Subsequence Existence | Discrete Mathematics - Vol 2
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What defines a strictly increasing sequence?

💡 Hint: Think of a sequence going up.

Question 2

Easy

Identify a subsequence in (2, 4, 1, 5, 3).

💡 Hint: Look for numbers you can skip.

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 increasing sequence?

  • Numbers go up
  • Numbers go down
  • Numbers stay the same

💡 Hint: Think of climbing a staircase.

Question 2

True or False: A subsequence must consist of consecutive numbers.

  • True
  • False

💡 Hint: Recall the definition.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Find a strictly increasing subsequence in the set {1, 8, 5, 11, 6, 9}.

💡 Hint: Pick numbers that move upward.

Question 2

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.

Challenge and get performance evaluation