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. (Select the correct graphs. Round your answers to four decimal places.) (¹ Σ+4 10 20 20 50 50 100

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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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. (Select the correct graphs. Round your answers to four decimal places.)
n-1 63
Σ(+)"
n = 1
(a)
(b)
Sn
Sn
8
4
2-
8
6
n
Sp
Sn
n
Sn
1
n²
Sn
6
1
0
5
2
2
5
n
n
6
4
6
4
n
8
6
8
6
10
8
10
10
10
10
Sn
Sn
3-
2-
O
3-
20
Sn
Sn
20
8-
2
2
4
50
50
6
8
8
6
6
10
10
8
8
100
10
10
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. (Select the correct graphs. Round your answers to four decimal places.) n-1 63 Σ(+)" n = 1 (a) (b) Sn Sn 8 4 2- 8 6 n Sp Sn n Sn 1 n² Sn 6 1 0 5 2 2 5 n n 6 4 6 4 n 8 6 8 6 10 8 10 10 10 10 Sn Sn 3- 2- O 3- 20 Sn Sn 20 8- 2 2 4 50 50 6 8 8 6 6 10 10 8 8 100 10 10 100
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