CH-Completed Math141_Quiz 6 (1)
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University of Maryland Global Campus (UMGC) *
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Course
141
Subject
Mathematics
Date
Jan 9, 2024
Type
docx
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NAME: SCORE: Take-Home Quiz # 6
(Sections 10.1 – 10.5)
Math 141/7382, Due 11:59PM, Tuesday, December 5, 2023
I have completed this assignment myself, working independently and not consulting anyone except the instructor.
INSTRUCTIONS
●
The quiz is worth 100 points. There are 8 problems. This quiz is open book
and open notes
. This means that you may refer to your textbook, notes, and online classroom materials, but you must work independently and may not consult anyone
(and confirm this with your submission). You may take as much time as you wish, provided you turn
in your quiz no later than Tuesday, 5 December 2023
.
●
Complete the remaining problems to the best of your ability. Even if you cannot come to a final solution, you should show what you do know
so that you have the opportunity for partial credit.
●
Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the quiz, or if you prefer, create a document containing your
work. Scanned work is acceptable also. In your document, be sure to include your name and the assertion of independence of work.
●
General quiz tips and instructions for submitting work are posted in the Unit Quizzes module.
●
If you have any questions, please contact me by e-mail at robert.m.smith@faculty.umgc.edu
At the end of your quiz you must include the following dated statement with your name typed in lieu of a signature. Without this signed statement you will receive a zero. I have completed this quiz myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this quiz.
Name: Elsabet Bekele
Date:12/4/2023 QUIZ # 6 Problems
(Please extend sufficient space if you work on the docx version)
1
. Calculate the first 10 terms (starting with n
=
1
) of the sequence
a
1
=−
2,
a
2
=
2,
∧
,for n
3,
a
n
=
a
n
−
1
−
a
n
−
2
2
. State whether the sequence
converges or diverges? If the sequence converges, find its limit
.
3
. Does the series definitely diverge by the n
th
Term Test
? If not, what can we conclude?
4
. Rewrite the geometric series using the sigma notation
and calculate the value of the sum. 5
. Find all values of x
for which the geometric series converges and find its sum.
6. Calculate the value of the partial sum for S
4
and S
5
, find a formula for general partial sum S
n
, and then find the limit of s
n
as n
approaches infinity.
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7
. Use the Integral Test
to determine whether the following series converges or diverges.
Solving using other methods will not be credited.
(a) (b) 8
. Use the Comparison Test
or the Limit Comparison Test
to determine whether the given series converges or diverges. Solving using other methods will not be credited.
(a) (b) (Hints: )