Answered: Suppose that {b} = 0 ∞ and {c} = 0° n n… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.5: The Binomial Theorem

Problem 16E

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Suppose that {b}
= 0 ∞ and {c} = 0°
n n
n'n
satisfy the recurrence relations and initial
conditions
b
n+1
C
n+1
= 3b + 2c +1,b = 4
n
n
= 5b - 7c + n,c。 = -3
n
n
0
Let B(x) be the generating function for
the sequence {b} = 0°, that is
00
n
n'n
B(x) = Σ bx. Find a simple closed
n = 0
bx
n
form expression (with no infinite sums)
for B(x).

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