The series 2 + Vn2 1+ Vna n=1 is convergent if and only if: Select one: O a. a > Ob. a < 4 72 35 a > Od. a < O e. None of these Consider the two series:

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 25RE: Use the formula for the sum of the first nterms of a geometric series to find S9 , for the series...
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The series
00
2 + Vn?
00
Σ
The series 32n-54-1-2n is
1 + Vna
n=1
n=1
is convergent if and only if:
Select one:
Select one:
a.
is a divergent geometric series.
144
O a. a > ¬
Ob.
a <
b.
is convergent but not a
geometric series.
72
O c. None of these
Oc.
a >
O d. is a convergent geometric
series.
d.
a <
O e. is divergent but not a
geometric series.
O e. None of these
Question 7
Consider the two series:
Consider the two series:
00
2n + 3
(a) E
n2 In n
n=1
00
6n
-)"
5n + 39
(a)
1+ (n – 1)!
(b) E
n=1
п!
n=.
(b)
n² In n
n=
Which of the following statements is
true about these two series?
Which of the following statements is
true about these two series?
Select one:
Select one:
O a. Both of them are divergent.
O a. Both of them are divergent.
O b. None of these
b. None of these
O C. Both of them are convergent.
Od.
The series (a) is divergent and
OC. The series (a) is divergent and
the series (b) is convergent.
the series (b) is convergent.
O e. The series (a) is convergent
and the series (b) is divergent.
O d. The series (a) is convergent
and the series (b) is divergent.
Both of them are convergent.
е.
Transcribed Image Text:The series 00 2 + Vn? 00 Σ The series 32n-54-1-2n is 1 + Vna n=1 n=1 is convergent if and only if: Select one: Select one: a. is a divergent geometric series. 144 O a. a > ¬ Ob. a < b. is convergent but not a geometric series. 72 O c. None of these Oc. a > O d. is a convergent geometric series. d. a < O e. is divergent but not a geometric series. O e. None of these Question 7 Consider the two series: Consider the two series: 00 2n + 3 (a) E n2 In n n=1 00 6n -)" 5n + 39 (a) 1+ (n – 1)! (b) E n=1 п! n=. (b) n² In n n= Which of the following statements is true about these two series? Which of the following statements is true about these two series? Select one: Select one: O a. Both of them are divergent. O a. Both of them are divergent. O b. None of these b. None of these O C. Both of them are convergent. Od. The series (a) is divergent and OC. The series (a) is divergent and the series (b) is convergent. the series (b) is convergent. O e. The series (a) is convergent and the series (b) is divergent. O d. The series (a) is convergent and the series (b) is divergent. Both of them are convergent. е.
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