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MATH1920Chapter9Section5Homework

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
True or false: The series mc001-1.jpg converges.
a.
mc001-2.jpg
b.
mc001-3.jpg
 

 2. 
True or false: The series mc002-1.jpg diverges.
a.
mc002-2.jpg
b.
mc002-3.jpg
 

 3. 
True or false: The series mc003-1.jpg converges.
a.
mc003-2.jpg
b.
mc003-3.jpg
 

 4. 
True or false: The series mc004-1.jpg converges .
a.
mc004-2.jpg
b.
mc004-3.jpg
 

 5. 
Determine whether the series mc005-1.jpg converges conditionally or absolutely, or diverges.
a.
The series converges conditionally but does not converge absolutely.
b.
The series converges absolutely but does not converge conditionally.
c.
The series diverges.
d.
The series converges absolutely.
 

 6. 
Determine whether the series mc006-1.jpgconverges absolutely, converges conditionally, or diverges.
a.
mc006-2.jpg
b.
diverges
c.
mc006-3.jpg
 

 7. 
Determine whether the series mc007-1.jpg converges conditionally or absolutely, or diverges.
a.
The series converges absolutely.
b.
The series diverges.
c.
The series converges absolutely but does not converge conditionally.
d.
The series converges conditionally but does not converge absolutely.
 

 8. 
  Determine whether the series mc008-1.jpg converges conditionally or absolutely, or diverges.
a.
The series converges absolutely.
b.
The series diverges.
c.
The series converges absolutely but does not converge conditionally.
d.
The series converges conditionally but does not converge absolutely.
 

 9. 
Approximate the sum of the series by using the first six terms.
mc009-1.jpg
a.
1.457 < S < 1.477
b.
1.417 < S < 1.497
c.
1.467 < S < 1.472
d.
1.427 < S < 1.467
e.
1.461 < S < 1.473
 

 10. 
Approximate the sum of the series by using the first six terms.
mc010-1.jpg
a.
1.799 < S < 1.805
b.
1.794 < S < 1.806
c.
1.794 < S < 1.805
d.
1.792 < S < 1.792
e.
1.698 < S < 1.902
 

 11. 
Determine the minimal number of terms required to approximate the sum of the series with an error of less than 0.007.
mc011-1.jpg
a.
5
b.
4
c.
2
d.
6
e.
3
 

 12. 
Determine the minimal number of terms required to approximate the sum of the series with an error of less than 0.004.
mc012-1.jpg
a.
10
b.
5
c.
8
d.
6
e.
4
 

 13. 
Determine the minimal number of terms required to approximate the sum of the series with an error of less than 0.008.
mc013-1.jpg
a.
3
b.
1
c.
4
d.
6
e.
2
 

 14. 
Determine the minimal number of terms required to approximate the sum of the series with an error of less than 0.005.
mc014-1.jpg
a.
6
b.
4
c.
5
d.
8
e.
3
 

 15. 
Approximate the sum of the series by using the first six terms.
mc015-1.jpg
a.
0.587 < S < 3.473
b.
1.549 < S < 2.511
c.
1.309 < S < 2.751
d.
0.427 < S < 3.633
e.
0.227 < S < 3.833
 



 
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