Comparing Series It appears that the terms of the series TO + TO0T + T0z + TOs + 1000 are less than the corresponding terms of the convergent series + 부 + 우 + 후 + 1 If the statement above is correct, then the first series converges. Is this correct? Why or why not? Make a statement about how the divergence or convergence of a series is affected by the inclusion or exclusion of the first finite number of terms.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Comparing Series It appears that the terms of the
series
TO + TO0T + T0z + TOs +
1000
are less than the corresponding terms of the convergent
series
+ 부 + 우 + 후 + 1
If the statement above is correct, then the first series
converges. Is this correct? Why or why not? Make a
statement about how the divergence or convergence of a
series is affected by the inclusion or exclusion of the first
finite number of terms.
Transcribed Image Text:Comparing Series It appears that the terms of the series TO + TO0T + T0z + TOs + 1000 are less than the corresponding terms of the convergent series + 부 + 우 + 후 + 1 If the statement above is correct, then the first series converges. Is this correct? Why or why not? Make a statement about how the divergence or convergence of a series is affected by the inclusion or exclusion of the first finite number of terms.
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