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2 cards from this section. Quick, good the night before a test.
What is a general characteristic equation for degree 2?
Think about how to express the linear combination.
Can the characteristic roots be the same for degree 2 equations? If yes, what does it imply?
Recall what happens when roots repeat in polynomials.
What type of equation defines linear homogeneous recurrence equations?
Think about how many previous terms it considers.
True or False: The Fibonacci sequence is a linear homogeneous recurrence relation.
Consider how the sequence is defined!
Given the recurrence relation a(n) = 2a(n-1) + 3a(n-2) with a(0) = 1 and a(1) = 2, find the explicit formula for a(n).
Set up the characteristic equation from the recurrence relation.
If a sequence is defined as a(n) = a(n-1) + 5a(n-2) and you know a(2) = 7, a(3) = 12, derive the next term a(4).
Think about how each term builds on the last two.
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