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-co 00 k=1 10 10 k k+1 Sn = Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. lim Sn = (Type an integer or a fraction.) n-8 OB. The series diverges. (...)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 40SE: For the following exercises, use the formula for the sum of the first n terms of a geometric series...
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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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