Perform the following index shifts: i. Write y = E=0 anx" as a series that starts at n = 2 ii. Write y = Σan(x + 1)" as a series that starts at n = 0 n=2 iii. Write y = E=3(-1)" (x-4)" as a series that starts at n = 0 as a series that starts at n = 5 Σ 3n-1 v. Write y = o(-1)" as a series that starts at n = 2 iv. Write y = 100 n=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 70E
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Please solve and maintain 4 decimal places. 

Perform the following index shifts:
i. Write y = Σo anx" as a series that starts at n = 2
[2 an(x + 1)ª as a series that starts at n = 0
ii. Write y =
n=2
iii. Write y =
E=3(-1)" (x-4)" as a series that starts at n = 0
iv. Write y =
v. Write y =
Σ
as a series that starts at n = 5
3n-1
o(-1)" as a series that starts at n = 2
'n=1
Transcribed Image Text:Perform the following index shifts: i. Write y = Σo anx" as a series that starts at n = 2 [2 an(x + 1)ª as a series that starts at n = 0 ii. Write y = n=2 iii. Write y = E=3(-1)" (x-4)" as a series that starts at n = 0 iv. Write y = v. Write y = Σ as a series that starts at n = 5 3n-1 o(-1)" as a series that starts at n = 2 'n=1
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