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3 cards from this section. Quick, good the night before a test.
Define a linear non-homogeneous recurrence equation.
Focus on the structure of the equation.
What is an associated homogeneous relation?
Think of how we isolate parts of the equation.
What is the first step in solving a linear non-homogeneous recurrence equation?
Consider the relationship before introducing the external function.
True or False: A particular solution can be derived without knowing the associated homogeneous equation.
Think about the derivation process and interdependencies.
Consider a recurrence relation of the form a(n) = 4a(n-1) + n^3. Determine the general solution.
Look at the behavior of the sequence when you assume a(n) grows significantly!
Given a(n) = 2a(n-1) + 3n, find a particular solution and discuss its characteristics with respect to the homogeneous solution.
Identify the relationships emphasized by linear growth in F(n).
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