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3 cards from this section. Quick, good the night before a test.
Define what a recurrence relation is.
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?
Consider the sequence with only one element.
What defines a strictly increasing sequence?
Consider the meaning of 'strictly'.
True or False: The initial conditions for S(n) are always the same for all sequences.
Think of sequences that start differently.
If you have S(5), how would you compute it based on previous terms? Show your work.
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.
Think about what these changes might do to valid selections.
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