Practice - Definition of Increasing and Decreasing Sequences
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Practice Questions
Test your understanding with targeted questions
Define a strictly increasing sequence.
💡 Hint: Think of a sequence that rises steadily.
What is a subsequence?
💡 Hint: Look for an example in the sequence.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a strictly increasing sequence?
💡 Hint: Look at how the terms relate to one another.
True or False: Every sequence has at least one increasing subsequence.
💡 Hint: Consider different orders of numbers.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the sequence of numbers from 1 to 20, demonstrate and find at least three different subsequences that are strictly increasing.
💡 Hint: Look for numbers that increase without skipping downward.
Construct a sequence of your choice of distinct real numbers and show that it contains both an increasing and decreasing subsequence.
💡 Hint: Select numbers that have both upward and downward movements.
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