and for any index N, there are some values of k> N for which ak + 1ea and some values of k> N for which ak + 1 s akDetermine whether the following series converges.In kk = 1Let a >U represent the magnitude of the terms of the given series. identiry and describe a.Select the correct choice below and fill in any answer box in your choice.O A. The series diverges because a =is nonincreasing in magnitude for k greater than some index N and lim akO B. The series converges because ak =and for any index N, there are some values of k> N for which a,12a, and some values of k> N for whichis nonincreasing in magnitude for k greater than some index N and lim a,k ooO C. The series converges because ak =O D. The series diverges because akand for any index N, there are some values of k> N for which a 2a, and some values of k N for which a

Answered: Image /qna-images/answer/6f975772-69e0-463e-818d-e76923a2c786.jpg

Answered: Determine whether the following series…

Math

Calculus

Determine whether the following series converges. 00 (-1*1 Ink k=1

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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Question

and for any index N, there are some values of k> N for which ak + 1ea and some values of k> N for which ak + 1 s ak
Determine whether the following series converges.
In k
k = 1
Let a >U represent the magnitude of the terms of the given series. identiry and describe a.
Select the correct choice below and fill in any answer box in your choice.
O A. The series diverges because a =
is nonincreasing in magnitude for k greater than some index N and lim ak
O B. The series converges because ak =
and for any index N, there are some values of k> N for which a,12a, and some values of k> N for which
is nonincreasing in magnitude for k greater than some index N and lim a,
k oo
O C. The series converges because ak =
O D. The series diverges because ak
and for any index N, there are some values of k> N for which a 2a, and some values of k N for which a <a,
+1
O E. The series converges because ak=
is nondecreasing in magnitude for k greater than some index N.
O F. The series diverges because ak =
is nondecreasing in magnitude for k greater than some index N.
%3D
1°C
Cloudy
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