determine whether the following series diverges Σ ( - 1/1 ) ² K=0 let a so represent the magnitude of the terms of the given series. Identify and describe ak. A. a and for any index N, there are some values of k>N for which sak. Ja and some values of K&N for which ap а кто akti B: a = - is nonincreasing in magnitude for k greater than some index C. ax = _ is nondecreasing in magnitude for k greater than some - index N. Does this series converge or diverge? lim ak = ? K-∞

determine whether the following series diverges Σ ( - 1/1 ) ² K=0 let a so represent the magnitude of the terms of the given series. Identify and describe ak. A. a and for any index N, there are some values of k>N for which sak. Ja and some values of K&N for which ap а кто akti B: a = - is nonincreasing in magnitude for k greater than some index C. ax = _ is nondecreasing in magnitude for k greater than some - index N. Does this series converge or diverge? lim ak = ? K-∞

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 82E

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Question

Determine if the following series diverges, then select A, B, or C and fill in the blank. What is the limit & does this series diverge or converge?

determine
whether the following series diverges
{ (-1) ²
K=0
let a 0 represent the magnitude of the terms of the given series.
Identify and describe ak.
A. a =_ and for any index N, there are some values of K>N for which
Jak and some values of K&N for which akt, sak.
akti
B: a = - is nonincreasing in magnitude for k greater than some index
C. akis nondecreasing in magnitude for k greater than some
index N.
Does this series converge or diverge?
кута
lim ak = ?

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