Use a graphing utility to find the indicated partial sum S, and complete the table. Then use a graphing utility to graph the first 10 terms of the sequence of partial sums. For each series, compare the rate at which the sequence of partial sums approaches the sum of the series. (Round your answers to four decimal places.) (a) Σ 4(1)²¹-¹-²-4 = n=1 (b) n Sn n=2 n Sn - 5 0² 6 5 24 5 10 10 20 20 50 50 100 100

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Use a graphing utility to find the indicated partial sum S, and complete the table. Then use a graphing utility to graph the first 10 terms of the sequence of partial sums. For each series, compare the rate at which the
sequence of partial sums approaches the sum of the series. (Round your answers to four decimal places.)
(a)
(b)
Σ. (1)
4
n = 1
Sn
8
n = 1
n
Sn
INF
=
n-1
5
6
5
- 24
=
5
10
10
20
20
50
50
100
100
Transcribed Image Text:Use a graphing utility to find the indicated partial sum S, and complete the table. Then use a graphing utility to graph the first 10 terms of the sequence of partial sums. For each series, compare the rate at which the sequence of partial sums approaches the sum of the series. (Round your answers to four decimal places.) (a) (b) Σ. (1) 4 n = 1 Sn 8 n = 1 n Sn INF = n-1 5 6 5 - 24 = 5 10 10 20 20 50 50 100 100
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