In which of the following options, the statements given below and the general terms an that satisfy these statements are matched correctly? is divergent when an I: an is convergent n=1 is divergent when an n=1 I : an is divergent n=1 III: is convergent when the sequence {an}- is divergent an n=1 n=1 = n? 1 M: an K: an L: an 3 (a) I- M (b) I-L (c) I- M (d) I-L (е) I-K II- K II -M II - L II - K II - M III-L III -K III - K III- M III - L IM: IM

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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In which of the following options, the statements given below and the general
terms an that satisfy these statements are matched correctly?
1
is divergent when> an is convergent
an
I:
n=1
n=1
II: >
is divergent when> an is divergent
n=1
an
n=1
III:
is convergent when the sequence a,}
an
-l is divergent
n=1
n=1
L: an
1.
an
M:
K: a, =n2
(a) I-M
(b) I-L
(c) I-M
(d)
I-L
(е) I-K
II- K
II -M
II - L
II - K
II - M
TII -K
III - K
III- M
III-L
III- L
Transcribed Image Text:In which of the following options, the statements given below and the general terms an that satisfy these statements are matched correctly? 1 is divergent when> an is convergent an I: n=1 n=1 II: > is divergent when> an is divergent n=1 an n=1 III: is convergent when the sequence a,} an -l is divergent n=1 n=1 L: an 1. an M: K: a, =n2 (a) I-M (b) I-L (c) I-M (d) I-L (е) I-K II- K II -M II - L II - K II - M TII -K III - K III- M III-L III- L
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