For the following telescoping series, find a formula for the nth term of the sequence of partial sums (S). Then evaluate lim S, to obtain the value of the series or state that the series diverges. n-co 00 k=1 10 10 - k+1 Sn Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an integer or a fraction.) OA. lim S₁ = n→∞ OB. The series diverges. C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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For the following telescoping series, find a formula for the nth term of the sequence of partial sums (Sn). Then evaluate lim S, to obtain the value of the series or state that the series diverges.
n→∞0
k=1
10
10
k+1
Sn =
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
lim Sn = (Type an integer or a fraction.)
n→∞
OB. The series diverges.
Transcribed Image Text:For the following telescoping series, find a formula for the nth term of the sequence of partial sums (Sn). Then evaluate lim S, to obtain the value of the series or state that the series diverges. n→∞0 k=1 10 10 k+1 Sn = Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim Sn = (Type an integer or a fraction.) n→∞ OB. The series diverges.
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