Question

Solve the recurrence relation defined by: an = 3an – 1 + 5 where a0 = 1

Multiple Choice

an = 7/2⋅ 3n − 5/2

an = 5/2⋅ 3n − 3/2

an = 6 ⋅ 3n

an = 5 ⋅ 3n – 2

Answer #1

Solve the recurrence relation:
an = 3an−1 − 2an−2 + 3n
with a0 = 1, a1 = 0.

Find the solution of the recurrence relation an =
3an-1 + 5 · 3n

Find the solution to the recurrence relation an=3an−1+28an−2
with initial terms a0=10 and a1=12.

Consider the nonhomogeneous linear recurrence relationan= 3an−1+
3n. (a) Show thatan=n3nis a solution of this recurrence relation.
(b) Use Theorem 5 to find all solutions to this recurrence
relation. (c) Find the solution witha0= 2.

Give the general form of a solution to recurrence an
= 2an-1 + 3an-2 + 3n
r^2-2r-3=0
Assume a0
general form: an = c1an-1 +
c2an-2 + · · · + ckan-k
+ f(n) where c1, c2, . . . , ck are real numbers and f(n) is some
function of n.

solve the non-homogenous recurrence relation for
an =
2an-1+an-2-2an-3+8.3n-3 where
a0 = 2, a1 = 6 ve
a2=13
Find characteric equation by plugging
in an = rn
try to solve general solution and solve nonhomogeneous
particular solution
and find total final answer please..
My book anwer is
A(1)n+B(-1)n+C(2)n+k3n
, A=1/2, B=-1/2, C=1 ve k=1.
can you give me more explain about this please..?

Solve the recurrence relation an =
8an−1 −
16an−2 (n ≥ 2) with the
initial conditions a0 = 3 and a1 = 14. Show all your work.

find the
solution to an= 3an-1 - 3an-2 + an-3 if a0 = 2, a1 = 2 , and a2
=4

ORIGINAL SOLUTION PLEASE
Find an explicit formula for the following recurrence
relation:
3an+1 - 4an = 0 ; a1 = 5
Write a Python program that tests your result by generating the
first 20 terms in the sequence using both the recursive definition
and your explicit formula

Solve by using power series: 2y'−y = e^x . Find the recurrence
relation and compute the first 6 coefficients ( ) a0 − a5 .

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