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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a valid sequence in your own words.
💡 Hint: Think about the starting and ending numbers and the rules of increasing order.
Question 2
Easy
What is a recurrence relation?
💡 Hint: It connects current values with past values.
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 does a valid sequence consist of?
- Starts and ends with numbers
- contains any numbers in between
- Starts with one number and ends with another in strictly increasing order
- A random sequence of numbers
💡 Hint: Consider the definition of valid sequences.
Question 2
Is the following statement True or False? 'Initial conditions are merely optional in recurrence relations.'
- True
- False
💡 Hint: Think about why we need starting points for sequences.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Suppose you have a sequence defined recursively. If s(1) = 1, s(2) = 1, and s(n) = s(n-1) + s(n-2) for n > 2, what is s(5)?
💡 Hint: Work backwards from the values you know.
Question 2
Create a sequence ending with '5' and starting with '1', listing all the valid strictly increasing sequences.
💡 Hint: Count valid combinations based on the defined rules.
Challenge and get performance evaluation