Convergent or divergent?

Convergent Or Divergent?

Answers

Answer 1

Answer:

Convergent

Step-by-step explanation:

This is an alternating series where bn = 2n / eⁿ.  Apply the alternating series test:

lim(n→∞) bn

= lim(n→∞) (2n / eⁿ)

Use L'hopital's rule:

= lim(n→∞) (2 / eⁿ)

= 0

For n ≥ 1, the series is decreasing. 2(n+1) / eⁿ⁺¹ < 2n / eⁿ.

Therefore, the series converges.


Related Questions

- Fifteen percent of what number is 66?

Answers

Answer:

440

Step-by-step explanation:

In other words, you know that 15 percent of a number is 66 and you want to know what that initial number is. Therefore, you can derive that 15 percent of 440 equals 66. 67 is 15 percent of what number?

The answer to this question is 440.

Five pounds is equal to 2.268 kilograms. How many kilograms is 2 pounds?
0.4536
0.9072
1.8144
4.536

Answers

Five pounds is equal to 2.268 kilograms.

Answer:

B) 0.9072

Step-by-step explanation:

why my bawls itch so much its annoying

Answers

Answer:

is this a joke

Step-by-step explanation:

Answer:

scrath

Step-by-step explanation:

reach down. give itch, happ.y

Which equation represents a line with a slope of zero?
O y= 2x
O y=-3x+
O y=4
O x=-5

Answers

Answer:

y = 4

Step-by-step explanation:

In y =mx+b (slope -intercept form ),

We have m to be the slope

The first and the second equations contains the slope (coefficient of x)

The fourth option clearly states the slope is -5

That leaves with the third option with only a y-intercept.

Answer:

y=4

Step-by-step explanation:

y=4 on the graph would look like this -------------------------- and it would have a slope of zero. It's not x = -5 because that would have an undefined slope |.

And the first two the slope is the number in front of the x.

Hope this helped!!!

                                                                                                                       

how many fifths are there in 8 3/5?​

Answers

Answer:

43 becuase 8 3/5 times 5

Step-by-step explanation:

Will give brainliest and thanks and please explain

Answers

Answer:

(65-5) / 2.5 = d

Step-by-step explanation:

100% sure

Answer:

d=65/2-5

26days

Step-by-step explanation:

Which of the following equations can be used to model the number of meals someone will eat over a period of time if they eat three meals a day?

Answers

Answer:

1

Step-by-step explanation:

Answer:

3t + 5 = 32

and

3t+ 2 = 20

Step-by-step explanation:

i got it right :)

y = 7x^3 - 4x^2 + 3x - 12
find the domain step plz

Answers

Answer:

The domain is -oo < x < oo or (-oo,oo)

Step-by-step explanation:

Sometimes it helps if you draw this out on a number line or graph the equation! :)

Domain is how far x goes. As in this case x is infinite both ways.

Alright, I need help! ​

Answers

Answer:side B middle length!

Step-by-step explanation:

A government might try to reduce unemployment in order to:
A. Allow businesses to invest money more freely.
B. set limits on its own economic growth.
C. keep inflation from rising too quickly
D. make sure its people can find jobs
If you get it correct will give brainly

Answers

Answer:

Make sure people can find jobs

Step-by-step explanation:

Answer: D, Make sure it’s people can Find job’s.

Step-by-step explanation: it’s the Answer I just did the quiz.


Two numbers, both greater than 23, have HCF 23 and LCM 644. The sum of the numbers is:

Answers

Answer: 253

Step-by-step explanation:

First, we have two numbers A and B.

We know that all numbers can be written as a product of prime numbers.

And the HCF of A and B is 23

Then we can write:

A = 23*a

B = 23*b

(remember that 23 is a prime number)

Where a and b are larger than 1.

Now we know that the least common multiple between them is 644.

Notice that the primes that conform a can not be the same as the ones for b, because in that case, the HCF would not be 23.

Now to find a and b we can compute:

644/23 = 28.

28 = a*b

Now let's write 28 as a product of prime numbers:

a*b = 28 = 4*7 = 2*2*7

Then we can define:

a = 2*2

b = 7.

Our two numbers are:

A = 23*2*2 = 92

B = 23*7 = 161

A + B = 92 + 161 = 253

The sum of the two numbers would be:

253

Assume the two numbers be [tex]x[/tex] and [tex]y[/tex]

Given that,

HCF of [tex]x[/tex] and [tex]y[/tex] = 23

so,

The numbers could be written as:

23[tex]x[/tex] and 23[tex]y[/tex]

We know that,

LCM of 23[tex]x[/tex] and 23[tex]y[/tex] = 644

We also know that,

LCM × HCF = The product of two numbers

644 × 23 = 23[tex]x[/tex] × 23[tex]y[/tex]

So, by solving them we get;

14812/529 = [tex]x[/tex] × [tex]y[/tex]

[tex]x[/tex] × [tex]y[/tex] = 28

If we prime factorize 28, we get

28 = 2 × 2 × 7

This gives us,

[tex]x =[/tex]23 × 2 × 2 = 92

[tex]y =[/tex] 23 × 7 = 161

Thus, the sum of the two numbers = 92 + 161 = 253

Learn more about "HCF" here:

brainly.com/question/13070189


Complete the statements.

8.703 dekagrams =_____
kilograms
100.3
_____= 10.03 hectometers
909.9
_____= 90,990 centiliters

Answers

Step-by-step explanation:

1. 0.08703 killograms

2. Decameters

3. Liters

Answer:1. 0.08703 killograms

2. Decameters

3. Liters

Step-by-step explanation:

write down two prime numbers that have a sum of 32​

Answers

Answer:

3 and 29

OR

13 and 19

Step-by-step explanation:

3+29=32

OR

13+19=32

Note: Prime numbers are those that can only be divided by one or itself!

3. If (5,5) is the endpoint of a line with the midpoint at (0,0), where is the
other endpoint?

Answers

If (5,5) is the endpoint of a line and the midpoint is (0,0) then the other endpoint of the line is (-5,-5).

(100 POINTS) Write the particular equation of this transformed cosine graph. (Hint: Try to find the best point to center the sinusoidal axis.)

Answers

Answer:

y= - 3cosx - 2

Step-by-step explanation:

Our max here is at 1, and the minimum is at - 5

The distance between the x-axis and these points are 1 and 5. 5 + 1/2 = 6/2 = 3, our amplitude. But let's double check. Our middle point is - 2 so...

- 5 - (- 2) = - 5 + 2 = - 3

The amplitude is rather - 3.

f(x) = Acos(Bx + C) + D

Using this we know B = 0, D = - 2 (the middle point), C = 0, and A = - 3 (amplitude). B = 0, and C = 0, as there is no horizontal/vertical shift

f(x) = Acos(Bx + C) + D

f(x) = - 3cosx + (- 2)

f(x) = - 3cosx - 2

Answer:

y= - 3cosx - 2

Step-by-step explanation:

Just Answered on A P E X Practice Assignment

what is the measure of an angle that is linear pair with 10 degrees

Answers

Answer:

170 degree bcause 180 -10 = 170 ( linear pair )

Answer:

170 degree bcause 180 -10 = 170 ( linear pair )

Step-by-step explanation:

Help. What is the slope of the line in the graph?

Answers

Hello,

As you have not provided the graph, I can teach you how to answer the question.

You are solving for the slope of the line. The slope can be found by using the following equation:

slope (signified by the variable m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Note that the numbers does not exactly matter, only that what you set as variable [tex]x_1[/tex], the y inside that coordinate will also be [tex]y_1[/tex], and likewise for point 2.

For example, let us say your points for your line is (3 , 6) and (10 , 4)

Let:

[tex](x_1 , y_1)[/tex] [tex]= ( 3 , 6)[/tex]

[tex](x_2 , y_2) = (10 , 4)[/tex]

Plug in the corresponding numbers to the corresponding variables:

slope [tex]m = \frac{4 - 6}{10 - 3} = - \frac{2}{7}[/tex]

The given points will result in a [tex]-\frac{2 }{7}[/tex] slope.

Hope this helps!

what is 8,526 divide by 9

Answers

Answer:

Use a calculator but otherwise it is 947.3333

Step-by-step explanation:

first 8000 divided by nine which is 888.8888

second is 500 wich is 55.5555

third is 20 divided by nine wich is 2.2222222

fourth is 6 divided by nine wich is 0.66666667

fith add all of them which is around 947.3333

mr.little earned $320 for working 2 eight hours shifts at the lumber yard .what is his hourly wage?

Answers

Answer:

Step-by-step explanation:

320$ divided by 16 (two 8 hr shifts) = 20 dollars an hour

HELP ASAP!!!WILL GIVE BRANLIST

Answers

Answer:

See photo below

I hope this helps!

Answer:

you see the top u take a line and put it right through the 2 top coners and put a line there.

Step-by-step explanation:

I WILL GIVE BRAINLIEST HELPPP
1. 3/10 = 12/50 true or false
2. 1/2=6/12 true or false
3.5/6=10/12 true or false
4.5/7=15/21 True or false
5.3/8=6/15 true or false
PLeASE HELP

Answers

Answer:

1. False

2. True

3. True

4. True

5. False

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. False   3/10 x 5 = 15/50 not 12/50

2. True    1/2 x 2 = 6/12

3. True    5/6 x 2 = 10/12

4. True    5/7 x 3 = 15/21

5. False   3/8 x 2 = 6/16 not 6/15

What is the equation of a line that is perpendicular to this line and goes through the
given point?
y = 3x + 2 (3,-4)

Answers

Answer:

x + 3y + 9 = 0

Step-by-step explanation:

y=3x + 2

Coefficient of x = 3

Gradient (m) of line y= 3x + 2 is 3

Since the line passing through point

(3,-4) is perpendicular to line y=3x + 2

hence gradient (m) of the line is -1/3;

And hence it equation is given as;

y - y1 = m(x - x1)

y - (-4) = -1/3(x - 3)

multiplying through by 3;

3 × y + 3 × 4 = 3 × -1/3(x - 3)

3y + 12 = -1(x - 3)

3y + 12 = -x + 3

x + 3y + 12 - 3 = 0

x + 3y + 9 = 0

Find the perimeter and area of a rectangle of cardboard measuring 15.9 cm by 11.7cm

Answers

the area is 186.03. lw = 15.9(11.7) = 186.03

(WILL GIVE BRAINLIEST)

What is 3/5 written as a percent?
A. 6%
B. 30%
C. 60%
D. 167%

Answers

Answer:

60%

Step-by-step explanation:

1/5 equals 20 % and thus 3/5 is 20 % multiplied by 3 so 60 %

Answer: "Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as  

x/100

.

We can then rewrite this as:  60%.

Write the inequality.
A number k plus 5 is greater than or equal to
8.
Ak +5> 8
k+5 <8
k+5 <8
k+528

Answers

Last one.
Think of the > sign as a crocodile wanting the bigger (greater) number. “Or equal to” just add a line below it

create an equation from the model that describes the relationship between the weights on each side of the scale into the correct answer in the Box​

Answers

Answer:

2y+3=4y+2

Step-by-step explanation:

Answer:

2y+3=4y+2

Step-by-step explanation:

cause i got it right

If Kim reduces the weekly number of hours she works by one-fourth and her current weekly income is $520.00, what is her new weekly income?

Answers

Answer:

$390    you divide 520 by 4 so 520/4=130   now we subtract 130 from 520, 520-130=390

Step-by-step explanation:

Solving this question requires basic arithmetic formula and fractions.

New weekly income = $390

Let's call the number of hours kim works weekly as "x"

If she reduces this number of hours by one-fourth and her current weekly income is $520, then it means the amount to be deducted is;

[tex]\frac{1}{4}[/tex] × $520 = $130

Thus, her new weekly income will be;

$520 - $130 = $390

Read more at; brainly.com/question/11407386

Which of the following is a situation in which a quadratic equation cannot be
solved using the quadratic formula?

Answers

Answer:

the a

Step-by-step explanation:

zzzzz

2. Add 62 to the difference of
90 and 36.​

Answers

Answer:

116

Step-by-step explanation:

(difference = subtract)

90 - 36 = 54

adding 62 to 54 = 116

answer

62+(90-36)

62+54

116

In New York the temperature was -4 Fahrenheit in the morning if the temperature dropped eight Fahrenheit what is the temperature now

Answers

Answer:

-12 Fahrenheit.

Step-by-step explanation:

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