Determine which of these are linear homogeneous recurrence
Chapter 11, Problem 2E(choose chapter or problem)
Determine which of these are linear homogeneous recurrence relations with constant coefficients. Also, find the degree of those that are.
a) \(a_{n}=3 a_{n-2}\)
b) \(a_{n}=3\)
c) \(a_{n}=a_{n-1}^{2}\)
d) \(a_{n}=a_{n-1}+2 a_{n-3}\)
e) \(a_{n}=a_{n-1} / n\)
f) \(a_{n}=a_{n-1}+a_{n-2}+n+3\)
g) \(a_{n}=4 a_{n-2}+5 a_{n-4}+9 a_{n-7}\)
Equation Transcription:
Text Transcription:
a_n=3a_n-2
a_n=3
a_n=a_n-1^2
a_n=a_n-1+2a_n-3
a_n=a_n-1/n
a_n=a_n-1+a_n-2+n+3
a_n=4a_n-2+5a_n-4+9a_n-7
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