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Solve the linear recurrence relation

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Q1 Show ALL your WORK.

Solve the linear recurrence relation

LaTeX: a_n=7a_{n-1}-12a_{n-2}

a


n


=


7



a



n





1







12



a



n





2


,

with initial conditions LaTeX: a_0=1

a


0


=


1
and LaTeX: a_1=8.

Show ALL your WORK.

Q2 Solve the linear recurrence relation

LaTeX: a_n=8a_{n-1}-16a_{n-2}

a


n


=


8



a



n





1







16



a



n





2


with initial conditions LaTeX: a_0=3

a


0


=


3
and LaTeX: a_1=4.

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