Suppose that the sequence x0, x1, x2... is defined by xo=4, x₁ = 6, and xk+2 = 4xk 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 The correct answer is: xx=(2*)+1(-2)*

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 47E
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Suppose that the sequence x0, x₁, x2... is defined by x0 = 4, x₁ = 6, and xk+2 = 4xk for k≥0. Find a general formula for xk. Be sure to include parentheses where necessary, e.g. to distinguish 1/(2k)
from 1/2k.
xk 0
=
The correct answer is:
=
= (2k)+1/(-2)*
xx
Transcribed Image Text:Suppose that the sequence x0, x₁, x2... is defined by x0 = 4, x₁ = 6, and xk+2 = 4xk for k≥0. Find a general formula for xk. Be sure to include parentheses where necessary, e.g. to distinguish 1/(2k) from 1/2k. xk 0 = The correct answer is: = = (2k)+1/(-2)* xx
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