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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a strictly increasing sequence.
💡 Hint: Think of a sequence that rises steadily.
Question 2
Easy
What is a subsequence?
💡 Hint: Look for an example in the sequence.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
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
💡 Hint: Look at how the terms relate to one another.
Question 2
True or False: Every sequence has at least one increasing subsequence.
- True
- False
💡 Hint: Consider different orders of numbers.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation