(b) (Using the method of trying a solution of the form f(n) = Kwn, etc.,...) find the direct prescription for the following recursively-prescribed sequence f(n + 2) − 6f(n + 1) + 9f(n) = 0, where n is an integer ≥ 1 and f(1) = 3, f(2) = 27.
(b) (Using the method of trying a solution of the form f(n) = Kwn, etc.,...) find the direct prescription for the following recursively-prescribed sequence f(n + 2) − 6f(n + 1) + 9f(n) = 0, where n is an integer ≥ 1 and f(1) = 3, f(2) = 27.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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(b) (Using the method of trying a solution of the form f(n) = Kwn, etc.,...) find the direct prescription for the following recursively-prescribed sequence
f(n + 2) − 6f(n + 1) + 9f(n) = 0, where n is an integer ≥ 1 and f(1) = 3, f(2) = 27.
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