Given the power series 2 2n A x(n + 3) n = 0 Use the technique that we covered in this unit to Shift the Index of the Power Series so that the exponent of the power series is simplified. A > x" 2 2n A x" + 3) becomes 2 2 R A, n = 0 R = 0 B E 2n A x" + 3) becomes 2 2 (R + 3) A (R + 3) * n = 0 R = 0 00 © E 2n A, xl" + 3) becomes 2 2 (R+ 3) A (R + 3) *"* n = 0 R = -3 00 ΟΣ E 2n A x(m + 3) becomes 2 (R - 3) A (R - 3) n = 0 R = 0 > 2n A x(n + 3) becomes 2 (R - 3) A R - 3) n =0 R = 3 00 2n A x(" + 3) becomes 2 (R + 3) A, xR n =0 R = 0

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Chapter1: Functions And Models
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Given the power series
2 2n A x(m + 3)
n = 0
Use the technique that we covered in this unit to Shift the Index of the Power Series so that the exponent of the power series is
simplified.
00
A
> 2n A x" + 3) becomes 2 2 R A, x"
n = 0
R = 0
B 2 2n A
E 2n A x" + 3) becomes 2 2 (R + 3) A (R + 3)
(n + 3)
n = 0
R = 0
00
2 2n A x(n + 3)
2 2 (R + 3) A (R + 3) **
becomes >
n = 0
R = -3
00
Σ Α,
2 2n A x(m
(n + 3) becomes E 2 (R -
3) A (R - 3) **
n = 0
R = 0
E
> 2n A x" + 3) becomes 2 (R - 3) A (R - 3)
n = 0
R = 3
2n A x" + 3) becomes 2 2(R + 3) A, x*
n = 0
R = 0
Transcribed Image Text:Given the power series 2 2n A x(m + 3) n = 0 Use the technique that we covered in this unit to Shift the Index of the Power Series so that the exponent of the power series is simplified. 00 A > 2n A x" + 3) becomes 2 2 R A, x" n = 0 R = 0 B 2 2n A E 2n A x" + 3) becomes 2 2 (R + 3) A (R + 3) (n + 3) n = 0 R = 0 00 2 2n A x(n + 3) 2 2 (R + 3) A (R + 3) ** becomes > n = 0 R = -3 00 Σ Α, 2 2n A x(m (n + 3) becomes E 2 (R - 3) A (R - 3) ** n = 0 R = 0 E > 2n A x" + 3) becomes 2 (R - 3) A (R - 3) n = 0 R = 3 2n A x" + 3) becomes 2 2(R + 3) A, x* n = 0 R = 0
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