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3 cards from this section. Quick, good the night before a test.
What does F(n) represent in a linear non-homogeneous recurrence equation?
Think about its role in the equation.
How do we derive the associated homogeneous relation?
What do we need to focus on when we remove F(n)?
What characterizes a non-homogeneous recurrence equation?
Focus on the additional term's role.
True or False: The associated homogeneous relation is derived by adding F(n).
What happens to F(n) in the homogeneous equation?
Solve the recurrence relation a(n) = 2a(n-1) + 3n with a(0) = 0.
Consider the polynomial form that matches F(n).
Demonstrate how to apply the theorem to find particular solutions of a recurrence: a(n) = a(n-1) + 5 with a(0) = 1.
Look at the constant terms in your guesses.
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