k+1 Suppose (ar) is monotone decreasing and ap → 0. Set sn = >(-1)*+'ak. Show that the subsequence k=1 (82n-1) converges.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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k+1
Suppose (ar) is monotone decreasing and ap → 0. Set sn = (-1)*+'ak. Show that the subsequence
k=1
(82n-1) converges.
Transcribed Image Text:n k+1 Suppose (ar) is monotone decreasing and ap → 0. Set sn = (-1)*+'ak. Show that the subsequence k=1 (82n-1) converges.
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