(Extra credit, 10 points) If {a} is such that |ak+1 - ak ≤ Mrk for some M > 0 and 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 14E
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(Extra credit, 10 points) If {a} is such that |ak+1 - ak ≤ Mrk for some M > 0 and
0<r< 1, show that this sequence converges. [Hint: Is that a Cauchy's sequence?]
Transcribed Image Text:(Extra credit, 10 points) If {a} is such that |ak+1 - ak ≤ Mrk for some M > 0 and 0<r< 1, show that this sequence converges. [Hint: Is that a Cauchy's sequence?]
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