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 n-00 00 k=1 (5 sec (k+1)-5 sec¹k) S₁ = Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim S₁ ▼ (Type an exact answer in terms of x.) n10 OB. The series diverges.
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 n-00 00 k=1 (5 sec (k+1)-5 sec¹k) S₁ = Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim S₁ ▼ (Type an exact answer in terms of x.) n10 OB. 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 (Sn). Then evaluate lim S, to obtain the value of the series or state that the series diverges.
n→∞0
00
k=1
(5 sec¹(k+1)-5 seck)
S₁ =
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
lim S₁ =
▼
O A.
OB. The series diverges.
n-00
(Type an exact answer in terms of x.)
A
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