Use the Alternating Series Test to determine whether the series converges. k E(- 1)k+1 3k° + 1 k= 1 Let a represent the magnitude of the terms of the given series and f(x) be the function that generates a. Determine whether the terms of the series are nonincreasing in magnitude. Select the correct choice below and fill in the answer box in your choice. O A. The terms of the series are nonincreasing in magnitude. Since f'(x) = 1 < 0 for x> 6. 15 the terms a, decrease for k21. %3D OB. 1 > 0 for x> The terms of the series are increasing in magnitude. Since f'(x) = the terms a increase fork21. 6 15
Use the Alternating Series Test to determine whether the series converges. k E(- 1)k+1 3k° + 1 k= 1 Let a represent the magnitude of the terms of the given series and f(x) be the function that generates a. Determine whether the terms of the series are nonincreasing in magnitude. Select the correct choice below and fill in the answer box in your choice. O A. The terms of the series are nonincreasing in magnitude. Since f'(x) = 1 < 0 for x> 6. 15 the terms a, decrease for k21. %3D OB. 1 > 0 for x> The terms of the series are increasing in magnitude. Since f'(x) = the terms a increase fork21. 6 15
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:Use the Alternating Series Test to determine whether the series converges.
k
E(- 1)k+1
3k° + 1
k= 1
Let a represent the magnitude of the terms of the given series and f(x) be the function that generates a. Determine whether the terms
of the series are nonincreasing in magnitude.
Select the correct choice below and fill in the answer box in your choice.
O A.
The terms of the series are nonincreasing in magnitude. Since f'(x) =
1
< 0 for x>
6.
15
the terms a,
decrease for k21.
%3D
OB.
1
> 0 for x>
The terms of the series are increasing in magnitude. Since f'(x) =
the terms a increase fork21.
6 15
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