15. Show that the sequence {a} is a solution of the recur- rence relation a,,= an-1 + 2an-2 + 2n - 9 if a) a = -n + 2. b) a = 5(-1)" - n +2. c) a = 3(-1)"+2"-n+2. d) an = = 7.2"-n+2.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 70SE: Calculate the first eight terms of the sequences an=(n+2)!(n1)! and bn=n3+3n32n , and then make a...
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15. Show that the sequence {a} is a solution of the recur-
rence relation a,, = an-1 + 2an-2 +2n - 9 if
a) a₁ = -n + 2.
'n
b) a = 5(-1)" - n +2.
c) a = 3(-1)"+2"-n+2.
d) a = 7.2"-n+2.
Transcribed Image Text:15. Show that the sequence {a} is a solution of the recur- rence relation a,, = an-1 + 2an-2 +2n - 9 if a) a₁ = -n + 2. 'n b) a = 5(-1)" - n +2. c) a = 3(-1)"+2"-n+2. d) a = 7.2"-n+2.
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