introduction to discrete structures

I’m stuck on a Mathematics question and need an explanation.

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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.

Note: Submissions will automatically close at the specified time. Please do not email me late HW as they will be ignored/rejected. Absolutely no extensions.

Upload a clear image of your handwritten work. Do NOT write anything in the COMMENTS box as they will be ignored.

Make sure that you upload the correct HW answer that corresponds to the problem. If you mixed up the uploads (HW #4 uploaded as HW #5, and vice versa), then the grader will ignore your work and you will get a zero.

Show ALL your WORK.

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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