Practice Restrictions On Solution Counts (18.4.1) - Subsequence Existence

Practice: Restrictions on Solution Counts

Lesson 18.4.1Subsequence Existence

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8 questions

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6 sample questions

Question 1.
Define a strictly increasing sequence.
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Think of a series of numbers written in ascending order.
Question 2.
What is a subsequence?
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You can pick numbers from a list without following their order.
3Question 3.
What is a strictly increasing sequence?
- A sequence where terms decrease
- A sequence where terms increase
- A random sequence
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Focus on the direction of the numbers.
4Question 4.
True or False: A subsequence must consist of consecutive elements of the original sequence.
- True
- False
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Subsequences maintain original order, but elements can be non-consecutive.
Question 5.
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.
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Formulate pairs of subsequences and check overlaps.
Question 6.
Analyze a sequence of floating-point numbers and determine a subsequence length of at least 6 that is strictly increasing. What is your reasoning?
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Consider each pair and track where the values trend up.

4 more questions in this section. Enroll free to practise them all.