(Extra credit, 10 points) If {ak}k=1∞ is such that ∣ak+1−ak∣≤Mrk for some M>0 and 0
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(Extra credit, 10 points) If {ak}k=1∞ is such that ∣ak+1−ak∣≤Mrk for some M>0 and 0
(Extra credit, 10 points) If {ak}k=1∞ 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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