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3 cards from this section. Quick, good the night before a test.
Define a homogeneous recurrence relation.
Think about equations that involve only previous terms.
What is the purpose of finding a particular solution?
Consider how it completes the solution.
What do we do first to solve a non-homogeneous recurrence equation?
Recall the steps we discussed.
Consider the function F(n) = n. Is this homogeneous?
Think about what defines a homogeneous function.
Given the recurrence relation a(n) = 2a(n-1) + 3^n, what steps must be taken to solve for a(n)?
Focus on identifying homogeneous and non-homogeneous parts.
For the relation T(n) = T(n-1) + n^k with k being a constant. What do you consider when solving it?
The degree of the polynomial should match the degree of F(n).
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