Solve the recurrence relation: a_n=8a_(n-1)-21a_(n-2)+18a_(n-3),a_0=5,a_1=2,a_2=13.
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Investigate!Consider the recurrence relation
a
n
=
5
a
n
−
1
−
6
a
n
−
2
.
What sequence do you get if the initial conditions are
a
0
=
1
,
a
1
=
2
?
Give a closed formula for this sequence.
What sequence do you get if the initial conditions are
a
0
=
1
,
a
1
=
3
?
Give a closed formula.
What if
a
0
=
2
and
a
1
=
5
?
Find a closed formula.
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