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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.3: Geometric Sequences
Problem 59SE: Use the explicit formula to write a geometric sequence whose common ratio is a decimal number...
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. (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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