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).
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).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 37E
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