For the following telescoping series, find a formula for the nth term of the sequence of partial sums (Sn). Then evaluate limn→∞ (Sn) to obtain the value of the series or, if the series diverges, explain why. 3 8 k=1 (4 k-3) (4k+1)
For the following telescoping series, find a formula for the nth term of the sequence of partial sums (Sn). Then evaluate limn→∞ (Sn) to obtain the value of the series or, if the series diverges, explain why. 3 8 k=1 (4 k-3) (4k+1)
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 limno (Sn) to obtain the value of the series or, if the
series diverges, explain why.
∞
k=1
3
(4K-
(4 k-3) (4 k+1)
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