Practice Definition Of Increasing And Decreasing Sequences (18.1.1)

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6 sample questions

Question 1.
Define a strictly increasing sequence.
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Think of a sequence that rises steadily.
Question 2.
What is a subsequence?
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Look for an example in the sequence.
3Question 3.
What is a strictly increasing sequence?
- A sequence where all elements are the same
- A sequence where each element is less than the previous one
- A sequence where each element is greater than the previous one
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Look at how the terms relate to one another.
4Question 4.
True or False: Every sequence has at least one increasing subsequence.
- True
- False
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Consider different orders of numbers.
Question 5.
Given the sequence of numbers from 1 to 20, demonstrate and find at least three different subsequences that are strictly increasing.
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Look for numbers that increase without skipping downward.
Question 6.
Construct a sequence of your choice of distinct real numbers and show that it contains both an increasing and decreasing subsequence.
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Select numbers that have both upward and downward movements.

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