(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

Section10.1: Infinite Sequences And Summation Notation

Problem 30E

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Question

(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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