Practice Applying Restrictions And Solving (18.4.2)

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8 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What defines a strictly increasing sequence?
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Think of a sequence going up.
Question 2.
Identify a subsequence in (2, 4, 1, 5, 3).
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Look for numbers you can skip.
3Question 3.
What defines a strictly increasing sequence?
- Numbers go up
- Numbers go down
- Numbers stay the same
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Think of climbing a staircase.
4Question 4.
True or False: A subsequence must consist of consecutive numbers.
- True
- False
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Recall the definition.
Question 5.
Find a strictly increasing subsequence in the set {1, 8, 5, 11, 6, 9}.
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Pick numbers that move upward.
Question 6.
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.
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Link heights with subsequences.

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