Find the first 10 partial sums of the series. (Round your answers to five decimal places.) 1 2 3 4 5 6 7 8 9 10 A n=1 Sn 4n²-2 n² + 1 0.66667 X 3.46667 X Graph both the sequence of terms and the sequence of partial sums on the same screen. Is the series convergent or divergent? If it is convergent, find the sum. (If the quantity diverges, enter DIVERGES.) If it is divergent, explain why. The terms of the series do not approach 0. O The sequence of partial sums is divergent. O The series is convergent.
Find the first 10 partial sums of the series. (Round your answers to five decimal places.) 1 2 3 4 5 6 7 8 9 10 A n=1 Sn 4n²-2 n² + 1 0.66667 X 3.46667 X Graph both the sequence of terms and the sequence of partial sums on the same screen. Is the series convergent or divergent? If it is convergent, find the sum. (If the quantity diverges, enter DIVERGES.) If it is divergent, explain why. The terms of the series do not approach 0. O The sequence of partial sums is divergent. O The series is convergent.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the first 10 partial sums of the series. (Round your answers to five decimal places.)
4n²
2
n² + 1
n
1
2
3
4
5
6
7
8
9
10
n = 1
0.66667 X
3.46667 X
Graph both the sequence of terms and the sequence of partial sums on the same screen. Is the series convergent or divergent? If it is convergent, find the sum. (If the quantity diverges,
enter DIVERGES.)
If it is divergent, explain why.
The terms of the series do not approach 0.
O The sequence of partial sums is divergent.
O The series is convergent.
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