Suppose that the sequence x0, x1, x2... is defined by xo =2, x₁ = 4, and xk+2 = 5xk+1-6xk for k20. Find a general formula for xk. Be sure to include parentheses where necessary, e.g. to distinguish 1/(2k) from 1/2k. xk = 0

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 31E
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Suppose that the sequence x0, x₁, x2... is defined by xo = 2, x₁ = 4, and xk+2 = 5xk+1−6xê for k≥0. Find a general formula for xx. Be sure to include parentheses where necessary, e.g. to distinguish
1/(2k) from 1/2k.
xk = 0
Transcribed Image Text:Suppose that the sequence x0, x₁, x2... is defined by xo = 2, x₁ = 4, and xk+2 = 5xk+1−6xê for k≥0. Find a general formula for xx. Be sure to include parentheses where necessary, e.g. to distinguish 1/(2k) from 1/2k. xk = 0
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