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Reminders: (h) Guidliens: 1) Find the solution an writing the characteristic equation. (p) 2) Find the particular solution an . of associated linear homogenous recurrence solution by Sabancı University Spring 2020 MATH 204 (Homework 3) 1) Students should already know the basic definitions used in this homework from the lectures. 2) Almost all questions are taken from the textbook. Please study sections 8.2, 8.4 and lecture notes before attempting them. (1) Find the solution of the recurrence relation an = 2an−1 + 3n with initial condition a1 = 5. (h) (h) 3) Use initial condition a1 = 5 and then find the solution by combining an and an . (2) Find a closed form for the generating function of the sequence an = n−1 for n = 0, 1, 2, . . . . Guidelines: Use the basic properties of formal power series. Your answer should not contain summation. For example, writing
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