Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. 1. test the series below for convergence using the

1. Test the series below for convergence using the Root Test. ??n=1 (2n/7n+5)^n The limit of the root...

50.1K

Verified Solution

Question

Basic Math

1. Test the series below for convergence using the RootTest.
??n=1 (2n/7n+5)^n
The limit of the root test simplifies to lim n?? |f(n)| where
f(n)=   
The limit is:    
Based on this, the series

  • Diverges
  • Converges

2. Multiple choice question.  We want to use theAlternating Series Test to determine if the series:

??k=4 (?1)^k+2 k^2/?k5+3

converges or diverges.
We can conclude that:

  • The Alternating Series Test does not apply because the terms ofthe series do not alternate.
  • The Alternating Series Test does not apply because the absolutevalue of the terms do not approach 0, and the series diverges forthe same reason.
  • The series converges by the Alternating Series Test.
  • The series diverges by the Alternating Series Test.
  • The Alternating Series Test does not apply because the absolutevalue of the terms are not decreasing.

Answer & Explanation Solved by verified expert
4.4 Ratings (595 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Basic Math
1.2K views

Scores on a certain IQ test are known to have a mean of 100. A random...

Chemistry
1.2K views

Given a diprotic acid, H2A, with two ionization constants of Ka1 = 4.08× 10–4 and Ka2...

Physics
1.2K views

6.) A 'Newton's Cradle' consists of 7 identical metal balls which are free to swing back...

Basic Math
1.2K views

To calculate the height of a tower Mary measures the angle of elevation from a...

Statistics
1.2K views

For employees at a large company the mean number of overtime hours worked each week...

Calculus
1.2K views

Find the angle between the planes 8x 7y 10 and 4x 3y 10z 6 The...

Calculus
1.2K views

For the polynomial below, 3 is a zero.g(x)=x- 4x + x + 6Express g (x)...

Accounting
1.2K views

Assume that the S & B partnership agreement gave Steely 60% and Breck 40% of...

Accounting
1.2K views

34. Explain the concept of continuous auditing and its advantages over traditional audit methods.@###@@###@@@@@@

Accounting
1.2K views

If accounts receivable has a beginning balance of $4,210 and an ending balance of $3,495,...

Accounting
1.2K views

Problem 6-2AA (Static) Periodic: Alternative cost flows LO P3 [The following information applies to the...

Accounting
1.2K views

Varto Company has 12,000 units of its product in inventory that it produced last year...