Practice - Initial Conditions
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Practice Questions
Test your understanding with targeted questions
Define a valid sequence in your own words.
💡 Hint: Think about the starting and ending numbers and the rules of increasing order.
What is a recurrence relation?
💡 Hint: It connects current values with past values.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a valid sequence consist of?
💡 Hint: Consider the definition of valid sequences.
Is the following statement True or False? 'Initial conditions are merely optional in recurrence relations.'
💡 Hint: Think about why we need starting points for sequences.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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Reference links
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