Practice Contradiction and Conclusion - 18.1.5 | 18. Subsequence Existence | Discrete Mathematics - Vol 2
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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 about a ladder.

Question 2

Easy

What does a subsequence mean?

💡 Hint: It's like taking steps, skipping 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 type of sequence has all numbers increasing?

  • Strictly Decreasing
  • Strictly Increasing
  • Non-Strict

💡 Hint: Consider the sequence like stairs going up.

Question 2

True or False: A subsequence can skip elements.

  • True
  • False

💡 Hint: Think about selecting without restricting proximity.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation