4. If ak is a nonnegative sequence and E,ak converges then 2k=1@ki aki subsequence of a. 5. If Eak is convergent then (a1 + a2) + (a3 + a4) + (a5 + a6) ...+ (a2n-1+ a2n) + ...= E1(a2k-1 + a2k) is convergent.
4. If ak is a nonnegative sequence and E,ak converges then 2k=1@ki aki subsequence of a. 5. If Eak is convergent then (a1 + a2) + (a3 + a4) + (a5 + a6) ...+ (a2n-1+ a2n) + ...= E1(a2k-1 + a2k) is convergent.
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
Determine if true or false, then explain why or why not.
![4. If ak is a nonnegative sequence and E ak converges then E1aki converges for any
ak subsequence of ak.
5. If Eak is convergent then
(a1 + a2) + (a3 + a4) + (a5 + a6)...+ (a2n-1 + a2n) + ...= E1(@2k–1 + a2k)
is convergent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80fac62b-1f91-4b94-88b2-6d2c841a4645%2F3e15f941-cf98-45d6-9f35-9eeb864dbd4b%2F02mcnr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. If ak is a nonnegative sequence and E ak converges then E1aki converges for any
ak subsequence of ak.
5. If Eak is convergent then
(a1 + a2) + (a3 + a4) + (a5 + a6)...+ (a2n-1 + a2n) + ...= E1(@2k–1 + a2k)
is convergent.
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