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3 cards from this section. Quick, good the night before a test.
Define a strictly increasing sequence.
Think about the differences in numbers in a sequence.
What does a recurrence relation do?
Consider how one term can influence the next.
What denotes a strictly increasing sequence?
Visualize the terms on a number line.
Is the recurrence relation for F(n) dependent on only the last term?
Remember how these sequences are constructed.
Prove that for n greater than 2, F(n) can be expressed as a function of F(n-1) and F(n-2).
Start with smaller values to recognize the pattern.
Determine the total number of strictly increasing sequences for n=5 using the recurrence relation.
Use previously known values to build up to F(5).
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