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 anyak subsequence of ak.5. If Eak is convergent then(a1 + a2) + (a3 + a4) + (a5 + a6)...+ (a2n-1 + a2n) + ...= E1(@2k–1 + a2k)is convergent.

Answered: 4. If ak is a nonnegative sequence and…

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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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.