Question

find the solution to the recurrence relation ak=ak-1+2ak-2+2 with the initial condition a0=4 and a1 = 12

Answer #1

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

Find the solution to the following lhcc recurrence:
??=−2??−1+24??−2 for ?≥2 with initial conditions a0=1,a1=4.
The solution is of the form: a?=?1(?1)^? + ?2(?2)^?
For suitable constants ?1,?2,?1,?2with ?1≤?2. Find these
constants.
r1=
r2=
a1=
a2=

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..?

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

2. Given the recurrence relation an = an−1 + n for n ≥ 2 where
a1 = 1, find a explicit formula for an and determine whether the
sequence converges or diverges

. Consider the sequence defined recursively as a0 = 5, a1 = 16
and ak = 7ak−1 − 10ak−2 for all integers k ≥ 2. Prove that an = 3 ·
2 n + 2 · 5 n for each integer n ≥ 0

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

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

10) Select the answer that is a closed form solution to this
recurrence relation: an = (n + 3)an−1; a0 = 2
A) an = P(n, n − 4)
B) an = n!
C) an = 2n
D) an = (n+3)! 3
E) an = 2n + 3

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

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