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-00 00 4 k+ 1 k= 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. lim S. = (Type an integer or a fraction.) n-00 O B. The series diverges.
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-00 00 4 k+ 1 k= 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. lim S. = (Type an integer or a fraction.) n-00 O B. The series diverges.
Chapter8: Sequences, Series,and Probability
Section8.1: Sequences And Series
Problem 9ECP: For the series i=1510i find (a) the fourth partial sum and (b) the sum. Notice in Example 9(b) that...
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Transcribed Image Text: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-00
ΣΕ
4
4
k+1
k= 1
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→00
O B. The series diverges.
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