Description
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.
Explanation & Answer
If an > 0 and the series ∑n=0∞ an diverges, then the partial sums sn = ∑k=0n ak →∞ as n →∞. Note also that sn > sn – 1 > 0 or all n.
Since an = sn – sn – 1,we conclude that an / sn2 = (sn – sn – 1) / sn2 < (sn – sn – 1) / sn sn – 1 =1/sn – 1 – 1/sn .
The series ∑n=1∞ (1/sn – 1 – 1/sn) converges because its partial sums ∑k=1n (1/s k –1 – 1/sk) = 1/s 0 – 1/sn are bounded from above by 1/s 0 = 1/a 0. Hence, by the comparison principle the series ∑n=0∞ an / sn2 also converges.
Completion Status:
100%
Review
Review
Anonymous
Goes above and beyond expectations!
Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4
24/7 Homework Help
Stuck on a homework question? Our verified tutors can answer all questions, from basic math to advanced rocket science!
Most Popular Content
SOCI 332 American Public University System Frequency Tables Discussion
There are three task associated with this assignment. I have attached a document with my chosen topic and variables. SPSS ...
SOCI 332 American Public University System Frequency Tables Discussion
There are three task associated with this assignment. I have attached a document with my chosen topic and variables. SPSS and GSS (dataset 2018) must be used to complete the assignment.Task I: Frequency tableNow that you have imported GSS 2018 dataset into your SPSS and have learned how to use GSS data explorer to find out GSS variable information, you are going to create and post a frequency table of your variables. Complete the following steps:Give your discussion title a unique label specific to your study/variables. Post a brief explanation of your topic which includes a bit of information about your variables: level of measurement, answer categories (yes/no, strongly agree, disagree, etc.), as well as the survey question used to collect data for this particular variable (refer to Discussion 1 discussion). Include a frequency table for each of your variables. Since you have two variables, one DV and one IV, you need to run frequency table for BOTH of your variables. When you are done, explain your outputs in no more than 5 sentences for each variable. Cite numbers in the outputs to support your conclusion. When you cite %, use the % reported in "valid percent" column. This column deletes all missing values, thus is "clean."To create a frequency table in SPSSOpen SPSS and open your GSS data fileSelect AnalyzeSelect Descriptive StatisticsSelect Frequenciesselect open StatisticsMake sure that mean, median, mode, standards deviation, and variance are chosen and select "Continue"Choose the variable that you want to make a frequency table of and click the arrow (this will move it into the right 'Variable' box)Select OKTask II. Describe the measures of central tendency (mean, median, mode) and dispersion (variance, standard deviation) for each of your variables.Based on what you have learned in the readings and lessons this week, identify the measures for each variable and explain what they tell us. Keep in mind that the mean is more meaningful for interval/ratio variables, the median or mode for ordinal variables, and the mode for nominal variables. What do these measures summarize for us about the variable's data?Task III. Create charts (bar chart, pie chart, or histogram depending on your variables' level of measurement)Presenting your data in graphic form is also important when conducting quantitative research. Based on what you have learned from the reading and the weekly lesson, create a graphic representation of your data. Your choice of graphing tool is purely based on a variable's level of measurement. When you are done, explain your outputs in no more than 5 sentences for each variable. It is OK if your explanation is similar to the frequency table interpretation, since chart is a different data presentation on the SAME variable. Cite numbers in the outputs to support your conclusion.Basic rules:Nominal: bar chart or pie chartOrdinal: bar chart or pie chartInterval/Ratio: histogram or line chartTo Create a ChartFollow steps 1-4 above (without worrying about the statistics).Select ChartsSelect choice of format (depending on your variable's level of measurement)Select OKContinue with steps 5-6Copy all of the frequency tables and charts by copy and pasting them into a document (PDF, MS Word) and attach to discussion. If your table/chart does not fit to the page, choose "copy special" and then "images." Paste images to the word document and the problem will be solved.
Dominican University of California Introduction to Excel Spreadsheets Reports
This is an introduction to excel spreadsheets course. I need this week's assignments to be completed on the person's websi ...
Dominican University of California Introduction to Excel Spreadsheets Reports
This is an introduction to excel spreadsheets course. I need this week's assignments to be completed on the person's website. It is chapter 9 and 9 assignments. There are step-by-step tutorials for the assignments. I attached the chapter 8file as an example. The work will be done on the pearson website.Its the same as last weeks assignment only this week is chapter 8 and 9
11 pages
Statistics Solutions For Test 3 Psychology 541
Which of the following would cause Fobt to increase? an increase in the magnitude of the independent variable’s effect
Statistics Solutions For Test 3 Psychology 541
Which of the following would cause Fobt to increase? an increase in the magnitude of the independent variable’s effect
Similar Content
Consumers Online Activities Being Tracked without Their Permission Discussion
Please provide a 200 word answer to the following 2 questions.Question #1There is a web advertising company that collects ...
image.jpeg can someone help me
image.jpeg...
Linear Equations with Fractions
y/5+y/6=10/7 solve for y...
University of Maryland Young Adults v Older Adults Main Calories Intake HW
In your chosen field, when might you want to know the mean differences between two or more groups? Please describe the sit...
Dalhousie University Math Worksheet
20:02 Thu May 26
=crowdmark
-5 -4
B
Q5 (4 points)
4
3
2
I
y
-3
-4
app.crowdmark.com
1 2
to
3 4
the
5
X
Given the above gra...
Please help me because i have no idea what I'm doing
differentiate y=log(4+cosx)...
Related Tags
Book Guides
One Flew Over the Cuckoos Nest
by Ken Kesey
Rules Of Civility
by Amor Towles
Nervous Conditions
by Tsitsi Dangarembga
Where'd You Go Bernadette
by Maria Semple
Pachinko
by Min Jin Lee
100 Side Hustles
by Chris Guillebeau
Things That Matter
by Charles Krauthammer
Cat on a Hot Tin Roof
by Tennessee Williams
Get 24/7
Homework help
Our tutors provide high quality explanations & answers.
Post question
Most Popular Content
SOCI 332 American Public University System Frequency Tables Discussion
There are three task associated with this assignment. I have attached a document with my chosen topic and variables. SPSS ...
SOCI 332 American Public University System Frequency Tables Discussion
There are three task associated with this assignment. I have attached a document with my chosen topic and variables. SPSS and GSS (dataset 2018) must be used to complete the assignment.Task I: Frequency tableNow that you have imported GSS 2018 dataset into your SPSS and have learned how to use GSS data explorer to find out GSS variable information, you are going to create and post a frequency table of your variables. Complete the following steps:Give your discussion title a unique label specific to your study/variables. Post a brief explanation of your topic which includes a bit of information about your variables: level of measurement, answer categories (yes/no, strongly agree, disagree, etc.), as well as the survey question used to collect data for this particular variable (refer to Discussion 1 discussion). Include a frequency table for each of your variables. Since you have two variables, one DV and one IV, you need to run frequency table for BOTH of your variables. When you are done, explain your outputs in no more than 5 sentences for each variable. Cite numbers in the outputs to support your conclusion. When you cite %, use the % reported in "valid percent" column. This column deletes all missing values, thus is "clean."To create a frequency table in SPSSOpen SPSS and open your GSS data fileSelect AnalyzeSelect Descriptive StatisticsSelect Frequenciesselect open StatisticsMake sure that mean, median, mode, standards deviation, and variance are chosen and select "Continue"Choose the variable that you want to make a frequency table of and click the arrow (this will move it into the right 'Variable' box)Select OKTask II. Describe the measures of central tendency (mean, median, mode) and dispersion (variance, standard deviation) for each of your variables.Based on what you have learned in the readings and lessons this week, identify the measures for each variable and explain what they tell us. Keep in mind that the mean is more meaningful for interval/ratio variables, the median or mode for ordinal variables, and the mode for nominal variables. What do these measures summarize for us about the variable's data?Task III. Create charts (bar chart, pie chart, or histogram depending on your variables' level of measurement)Presenting your data in graphic form is also important when conducting quantitative research. Based on what you have learned from the reading and the weekly lesson, create a graphic representation of your data. Your choice of graphing tool is purely based on a variable's level of measurement. When you are done, explain your outputs in no more than 5 sentences for each variable. It is OK if your explanation is similar to the frequency table interpretation, since chart is a different data presentation on the SAME variable. Cite numbers in the outputs to support your conclusion.Basic rules:Nominal: bar chart or pie chartOrdinal: bar chart or pie chartInterval/Ratio: histogram or line chartTo Create a ChartFollow steps 1-4 above (without worrying about the statistics).Select ChartsSelect choice of format (depending on your variable's level of measurement)Select OKContinue with steps 5-6Copy all of the frequency tables and charts by copy and pasting them into a document (PDF, MS Word) and attach to discussion. If your table/chart does not fit to the page, choose "copy special" and then "images." Paste images to the word document and the problem will be solved.
Dominican University of California Introduction to Excel Spreadsheets Reports
This is an introduction to excel spreadsheets course. I need this week's assignments to be completed on the person's websi ...
Dominican University of California Introduction to Excel Spreadsheets Reports
This is an introduction to excel spreadsheets course. I need this week's assignments to be completed on the person's website. It is chapter 9 and 9 assignments. There are step-by-step tutorials for the assignments. I attached the chapter 8file as an example. The work will be done on the pearson website.Its the same as last weeks assignment only this week is chapter 8 and 9
11 pages
Statistics Solutions For Test 3 Psychology 541
Which of the following would cause Fobt to increase? an increase in the magnitude of the independent variable’s effect
Statistics Solutions For Test 3 Psychology 541
Which of the following would cause Fobt to increase? an increase in the magnitude of the independent variable’s effect
Earn money selling
your Study Documents