Solution Found!
Is the sequence {an) a solution of the recurrence relation
Chapter 1, Problem 13E(choose chapter or problem)
Is the sequence \(\left\{a_{n}\right\}\) a solution of the recurrence relation \(a_{n}=8 a_{n-1}-16 a_{n-2}\) if
a) \(a_{n}=0\) ?
b) \(a_{n}=1\) ?
c) \(a_{n}=2^{n}\) ?
d) \(a_{n}=4^{n}\) ?
e) \(a_{n}=n 4^{n}\) ?
f) \(a_{n}=2 \cdot 4^{n}+3 n 4^{n}\)?
g) \(a_{n}=(-4)^{n}\)?
h) \(a_{n}=n^{2} 4^{n}\) ?
Equation Transcription:
=
Text Transcription:
{an}
a_n = 8a_n-1 -16a_n-2
a_n = 0
a_n = 1
a_n = 2^n
a_n = 4^n
a_n = n4^n
a_n = 2 dot 4^n + 3n4^n
a_n = (-4)^n
a_n = n^2 4^n
Questions & Answers
QUESTION:
Is the sequence \(\left\{a_{n}\right\}\) a solution of the recurrence relation \(a_{n}=8 a_{n-1}-16 a_{n-2}\) if
a) \(a_{n}=0\) ?
b) \(a_{n}=1\) ?
c) \(a_{n}=2^{n}\) ?
d) \(a_{n}=4^{n}\) ?
e) \(a_{n}=n 4^{n}\) ?
f) \(a_{n}=2 \cdot 4^{n}+3 n 4^{n}\)?
g) \(a_{n}=(-4)^{n}\)?
h) \(a_{n}=n^{2} 4^{n}\) ?
Equation Transcription:
=
Text Transcription:
{an}
a_n = 8a_n-1 -16a_n-2
a_n = 0
a_n = 1
a_n = 2^n
a_n = 4^n
a_n = n4^n
a_n = 2 dot 4^n + 3n4^n
a_n = (-4)^n
a_n = n^2 4^n
ANSWER:Problem 13E
Is the sequence 
a)
b)
c)
d)
e)
f)
g)
h)
Step by step solution
Step 1 of 8
(a)
Consider that
Consider that 
Therefore 