Practice - Recurrence Condition - 16.3.1
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Practice Questions
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Define what a recurrence relation is.
💡 Hint: Think about how each term in a sequence might relate to earlier terms.
What is S(1) if we define S(n) as the count of strictly increasing sequences?
💡 Hint: Consider the sequence with only one element.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a strictly increasing sequence?
💡 Hint: Consider the meaning of 'strictly'.
True or False: The initial conditions for S(n) are always the same for all sequences.
💡 Hint: Think of sequences that start differently.
1 more question available
Challenge Problems
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If you have S(5), how would you compute it based on previous terms? Show your work.
💡 Hint: Ensure you keep track of how categories previously derived affect your counts.
Explain how modifying the sequence rules can affect S(n). Provide a hypothetical situation.
💡 Hint: Think about what these changes might do to valid selections.
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