Given the power series En (n - 1) A, xla + 2) n =1 Use the technique that we covered in this lesson to Shift the Index of the Power Series so that the exponent of the power series is simplified. A 2 n (n - 1) A xm + 2) becomes (R + 2)² A (R + 2) * n =1 n =1 (n - 1) A xla + 2) becomes R2 A, n =1 n =0 En (n - 1) A, xlu + 2) becomes E n =1 n = 3 O 2n (n - 1) A xa + 2) becomes E (R2 + 2R) A n =1 n = 0 En (n - 1) A xlu + 2) becomes (R - 2) (R – 3) A (R - 2) ** n =1 n = 3
Given the power series En (n - 1) A, xla + 2) n =1 Use the technique that we covered in this lesson to Shift the Index of the Power Series so that the exponent of the power series is simplified. A 2 n (n - 1) A xm + 2) becomes (R + 2)² A (R + 2) * n =1 n =1 (n - 1) A xla + 2) becomes R2 A, n =1 n =0 En (n - 1) A, xlu + 2) becomes E n =1 n = 3 O 2n (n - 1) A xa + 2) becomes E (R2 + 2R) A n =1 n = 0 En (n - 1) A xlu + 2) becomes (R - 2) (R – 3) A (R - 2) ** n =1 n = 3
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 73E
Related questions
Question
q17
![Given the power series
2 n (n - 1) A x (n + 2)
n =1
Use the technique that we covered in this lesson to Shift the Index of the Power Series so that the exponent of the power series is
simplified.
00
A)
Σ
E n (n - 1) A x" + 2) becomes
2 (R + 2)? A (r + 2) **
n =1
n = 1
B R2 A, xk
2 n (n - 1) A x" + 2) becomes
R
n =1
n = 0
00
2 n (n - 1) A x" + 2) becomes
n =1
n = 3
00
00
E n (n - 1) A x + 2) becomes
E (R2 + 2R) A, x*
n =1
n = 0
> n (n - 1) A x" + 2) becomes
E (R - 2) (R - 3) A (R – 2)
E
n =1
n = 3
00
F)
Σ
2
n (n - 1) A x" + 2) becomes 2 (R + 2)2 A (R + 2)
Σ (R+ 2)?
n =1
n = 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25002bdf-f87e-4b90-9220-df81045dfb4e%2Fe40e3c69-3cf9-44e6-9b0d-3b51c1342b62%2Fu65xrja_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the power series
2 n (n - 1) A x (n + 2)
n =1
Use the technique that we covered in this lesson to Shift the Index of the Power Series so that the exponent of the power series is
simplified.
00
A)
Σ
E n (n - 1) A x" + 2) becomes
2 (R + 2)? A (r + 2) **
n =1
n = 1
B R2 A, xk
2 n (n - 1) A x" + 2) becomes
R
n =1
n = 0
00
2 n (n - 1) A x" + 2) becomes
n =1
n = 3
00
00
E n (n - 1) A x + 2) becomes
E (R2 + 2R) A, x*
n =1
n = 0
> n (n - 1) A x" + 2) becomes
E (R - 2) (R - 3) A (R – 2)
E
n =1
n = 3
00
F)
Σ
2
n (n - 1) A x" + 2) becomes 2 (R + 2)2 A (R + 2)
Σ (R+ 2)?
n =1
n = 3
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