Practice Restrictions on Solution Counts - 18.4.1 | 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 of a series of numbers written in ascending order.

Question 2

Easy

What is a subsequence?

💡 Hint: You can pick numbers from a list without following their order.

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 strictly increasing sequence?

  • A sequence where terms decrease
  • A sequence where terms increase
  • A random sequence

💡 Hint: Focus on the direction of the numbers.

Question 2

True or False: A subsequence must consist of consecutive elements of the original sequence.

  • True
  • False

💡 Hint: Subsequences maintain original order, but elements can be non-consecutive.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a set of 15 distinct integers, demonstrate a subsequence of at least length 5 that is increasing or decreasing. Provide a strategic approach and reasoning.

💡 Hint: Formulate pairs of subsequences and check overlaps.

Question 2

Analyze a sequence of floating-point numbers and determine a subsequence length of at least 6 that is strictly increasing. What is your reasoning?

💡 Hint: Consider each pair and track where the values trend up.

Challenge and get performance evaluation