Practice Combining Solutions (18.4.3) - Subsequence Existence - Discrete Mathematics - Vol 2
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Combining Solutions

Practice - Combining Solutions

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a strictly increasing sequence.

💡 Hint: Think about how consecutive numbers relate to each other.

Question 2 Easy

What is a subsequence?

💡 Hint: Consider how you might skip elements in a list.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines a strictly increasing sequence?

Every term is equal
Each term is greater than the last
Each term is lesser than the last

💡 Hint: Focus on the relationship between terms.

Question 2

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

True
False

💡 Hint: Think about selection freedom.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the sequence (2, 4, 1, 3, 5, 6), identify possible strictly increasing and decreasing subsequences.

💡 Hint: Focus on selecting numbers maintaining their ordering.

Challenge 2 Hard

Construct a sequence of 10 distinct integers ensuring that there exists a subsequence of length 5 that is either increasing or decreasing.

💡 Hint: Plan a sequence that varies in both directions.

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