See Attached File for Questions

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1. Verify that image1.emf

an = 5 3 n( )

a

n

=53

n

()

is a solution of the recurrence equation

image2.emf

an = 7an−1 −12an−2 for n ≥ 2 a0 = 5 a1 =15

a

n

=7a

n-1

-12a

n-2

forn³2

a

0

=5

a

1

=15

2. Solve the recurrence equation:

(a) image3.emf

an = an−1 + 2an−2 for n ≥ 2

a

n

=a

n-1

+2a

n-2

forn³2

image4.emf

a0 = 3 a1 = −1

a

0

=3

a

1

=-1