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Mathematics · Studypool

UCF Linear Recurrence Relation Worksheet

Overview

Q1 Show ALL your WORK.

Solve the linear recurrence relation

[Image unavailable: LaTeX: a_n=7a_{n-1}-12a_{n-2}]a n = 7 a n − 1 − 12 a n − 2,

with initial conditions [Image unavailable: LaTeX: a_0=1]a 0 = 1 and [Image unavailable: LaTeX: a_1=8.]

Show ALL your WORK.

Q2 Solve the linear recurrence relation

[Image unavailable: LaTeX: a_n=8a_{n-1}-16a_{n-2}]a n = 8 a n − 1 − 16 a n − 2

with initial conditions [Image unavailable: LaTeX: a_0=3]a 0 = 3 and [Image unavailable: LaTeX: a_1=4.]