1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Maurinko [17]
3 years ago
15

Given:An = [6 n/(-4 n + 9)]For both of the following answer blanks, decide whether the given sequence or series is convergent or

divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise.(a) The sequence {An }._________________(b) The series ∑n=1∞( An )_____________________Note: In order to get credit for this problem all answers must be correct.please show all steps. I must be makeing asilly mistake. thanks
Mathematics
1 answer:
Mrrafil [7]3 years ago
7 0

Answer:

The sequence is convergent and the serie is divergent.

Step-by-step explanation:

Sequence:

We calculate the limit when n tends to infinity to see if it is convergent or divergent:

\lim_{n \to \infty} \frac{6n}{-4n+9} = \frac{6}{-4} = \frac{-3}{2} \neq 0 then, the sequence is convergent.

Serie:

\sum_{n=1}^{\infty} (\frac{6n}{-4n+9}). To know if it converges we are going to use the limit test:

\lim_{n \to \infty} a_n. If this limit is non equal to 0 the serie diverges.

\lim_{n \to \infty} \frac{6n}{-4n+9} = \frac{6}{-4} = \frac{-3}{2} \neq 0, then the serie diverges.

You might be interested in
Write 0.0002839 in scientific notation.
Anika [276]

Answer:2.84 x 10-4

There you go!

8 0
3 years ago
Read 2 more answers
At 2:00 PM a car's speedometer reads 30 mi/h. At 2:10 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:10 the acce
Daniel [21]

Answer: If we define 2:00pm as our 0 in time; then:

at t= 0. the velocity is 30 mi/h.

then at t = 10m (or 1/6 hours) the velocity is 50mi/h

Then, if we think in the "mean acceleration" as the slope between the two velocities, we can find the slope as:

a= (y2 - y1)/(x2 - x1) = (50 mi/h - 30 mi/h)/(1/6h - 0h) = 20*6mi/(h*h) = 120mi/h^{2}

Now, this is the slope of the mean acceleration between t= 0h and t = 1/6h, then we can use the mean value theorem; who says that if F is a differentiable function on the interval (a,b), then exist at least one point c between a and b where F'(c) = (F(b) - F(a))/(b - a)

So if v is differentiable, then there is a time T between 0h and 1/6h where v(T) = 120mi/h^{2}

5 0
3 years ago
Can someone help me with my algebra class?
Lilit [14]
Im stuck on algebra too
3 0
3 years ago
Teresa's restaurant bill comes to $29.99 before tax. If the sales
vivado [14]
The answer is $37.86 !! hope this helps
4 0
3 years ago
During a​ sale, a dress is marked down from a selling price of ​$ to a sale price of ​$. What is the percent​ markdown?
ElenaW [278]

Complete question :

35%

Answer:

Step-by-step explanation:

Selling price = $68

Markdown price = $44.20

Percentage markdown :

Markdown / selling price * 100%

((68 - 44.20) / 68) * 100%

(23.8 / 68) * 100%

0.35 * 100%

= 35%

6 0
2 years ago
Other questions:
  • A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical
    13·2 answers
  • Any help would be appreciated. Thank you!
    5·1 answer
  • If the base lengths of a trapezoid are 11 cm and 17 cm, then what is the length of the trapezoid's midsegment?
    11·2 answers
  • Have no idea how to do 36, please help.
    12·1 answer
  • The value of 7 in 67908 is blank times the value of 7 in 74702
    9·2 answers
  • What is the equation of a line that goes through the point (0,2) and has a slope of -1 ?
    15·1 answer
  • Simplify the equation by combining
    5·2 answers
  • Help please! I can’t seem to solve this!!!
    7·2 answers
  • Which two statements are true about triangle b?
    11·1 answer
  • 3x-(2x-1)=7x-(3*5x)+(-x+24)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!