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
maxonik [38]
3 years ago
14

((Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0

Answer:

A

Step-by-step explanation:

A series is said to be convergent if |r| < 1. Where r is the common ratio of the series.

If |r| ≥ 1 then the geometric series diverges.

-5 + 25 - 125 + ..

r = -5/25 = -1/5

r = 25/-125 = -1/5

|r| = 1/5

In the series is  |r| less than 1. So the series is convergent.


You might be interested in
Find the equation of the line passing
Ostrovityanka [42]

Answer:

  y = 4x -14

Step-by-step explanation:

The required answer form is slope-intercept form, so we need the slope and the y-intercept of the line.

The slope equation is ...

  m = (y2 -y1)/(x2 -x1)

  m = (10 -2)/(6 -4) = 8/2 = 4

The y-intercept equation is ...

  b = y - mx

  b = 2 -4(4) = -14

The equation of the line is y = 4x -14.

7 0
2 years ago
What is the area of the regular polygon?
BartSMP [9]

Answer:

You could use the polygon area formula OR here's an easier solution

We draw the lines DC and DE

Angle ADC = 120°

Triangle ADC is a 30 60 90 triangle

In such a triangle Line AE = hypotenuse * sq root (3) /2

Line AE = 3 * 0.8660254038  = 2.5980762114

Line DE = 1.5

Area of Triangle ADE = .5 * 1.5 * 2.5980762114 =

1.9485571586   square meters and entire area of Triangle

ABC = 6 * 1.9485571586

which equals 11.6913429513  square meters

Step-by-step explanation:

6 0
2 years ago
What is the difference between x and dx?
N76 [4]

This response is based upon your having had some background in calculus. "dx" is not introduced before that.

Take a look at the sample function y = f(x) = x^2 + 9. Here x is the independent variable; the dependent variable y changes with x.

Now, for a big jump: we consider finding the area under a curve (graph) between x = a and x = b. We subdivide that interval [a,b] into n vertical slices of area. Each of those slices has its own area: f(x)*dx, where dx represents the width of such subarea. f(x)*dx is the actual subarea. To find the total area under the curve f(x) between x= a and x = b, we add up all of these individual subareas between x = a and x = b. Note that the subinterval width is

b-a

dx = ---------- , and that dx becomes smaller and smaller as the number of

n subintervals increases.

Once again, this all makes sense only if you've begun calculus (particularly integral calculus). Do not try to relate it to earlier math courses.

8 0
3 years ago
X² + 5x - 24, factor
kobusy [5.1K]

Answer:

{x}^{2}  - 8x + 3x - 24 \\  - x(x - 8)3(x - 8) \\ (3 - x)(x - 8)

6 0
3 years ago
The table gives the average age of airplanes per airline at Camila’s local airport. By what percent is the number of airlines wi
VladimirAG [237]

The percentage that the number of airlines with an average airplane age of 14 is less than the number of airlines with an average airplane age of 11 is:

B. 20%.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

The percentage of airlines with an average age of 14 years is:

P = \frac{2}{15} \times 100\% = 13.33\%

The percentage of airlines with an average age of 11 years is:

P = \frac{5}{15} \times 100\% = 33.33\%

The difference is:

33.33% - 13.33% = 20%.

Hence option B is correct.

More can be learned about percentages at brainly.com/question/10491646

#SPJ1

6 0
2 years ago
Other questions:
  • I really dont get this
    6·2 answers
  • A skateboard ramp make a 27 angle with the ground to the nearest foot how high is the ramp
    6·1 answer
  • Get free points by answering 100*100 please help asap
    12·2 answers
  • Collaborate triangle
    8·1 answer
  • What is 12 divided by 1/2?o
    7·2 answers
  • James has eleven apple and he subtracts and divide how many apples does he have
    12·1 answer
  • Select all numbers that are irrational.
    12·2 answers
  • What are the answers?
    9·1 answer
  • Read each problem carefully and solve as required then answer the questions that follow
    9·1 answer
  • Your friend operates a business and has the following demand curve. Complete the table, and use the information provided to find
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!