Let S = Ï an be an infinite series such that Sy = 2 - 2. n=1 N² 10 16 (a) What are the values of E an and Σ an? n=1 n=4 10 Σ απ= 16 Σan = n=4 191/50 (b) What is the value of a3? a3 = 713/1296 n=1 0.9648 (c) Find a general formula for an. an = (d) Find the sum an = ∞ n=1 I an.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Let S =
10
16
(a) What are the values of E an and Σ an?
n=1
n=4
Σ' an be an infinite series such that SN = 2 -
9
n=1
10
Σ απ =
n=1
16
Σ απ = 0.9648
n=4
(b) What is the value of ag?
ag = 713/1296
191/50
(c) Find a general formula for an.
απ =
Ξ8
(d) Find the sum
n=1
απ Ξ
8
Σε
n=1
an.
Transcribed Image Text:Let S = 10 16 (a) What are the values of E an and Σ an? n=1 n=4 Σ' an be an infinite series such that SN = 2 - 9 n=1 10 Σ απ = n=1 16 Σ απ = 0.9648 n=4 (b) What is the value of ag? ag = 713/1296 191/50 (c) Find a general formula for an. απ = Ξ8 (d) Find the sum n=1 απ Ξ 8 Σε n=1 an.
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