Σ 00 2 4 A, x" + 2 6 A, x" n =0 n =0 Combine the two power series together into a single power series. O * (4.)'] «* Σ n =0 00 ® 2 [10 A] *" 10 Α. n =0 O E 10 A.] * x" n =0 E 10 (4.)'] =" n =0 00 ΟΣ 10 Α (n x" n =0
Σ 00 2 4 A, x" + 2 6 A, x" n =0 n =0 Combine the two power series together into a single power series. O * (4.)'] «* Σ n =0 00 ® 2 [10 A] *" 10 Α. n =0 O E 10 A.] * x" n =0 E 10 (4.)'] =" n =0 00 ΟΣ 10 Α (n x" n =0
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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q10
![Given the power series expression
Σ
4 A x"
n =0
2 6 A x"
n =0
Combine the two power series together into a single power series.
O É * (^.)'] •*
n =0
00
(B
[10 A,
x"
n =0
Ο Σ
E [10 A,] *
n =0
00
10 (A
x"
n =0
00
E
10 A
(n +
n =0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25002bdf-f87e-4b90-9220-df81045dfb4e%2F2b4db533-6a6f-4ea8-91a0-e9c09342abb6%2Fsb5al35_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the power series expression
Σ
4 A x"
n =0
2 6 A x"
n =0
Combine the two power series together into a single power series.
O É * (^.)'] •*
n =0
00
(B
[10 A,
x"
n =0
Ο Σ
E [10 A,] *
n =0
00
10 (A
x"
n =0
00
E
10 A
(n +
n =0
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