Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test). For each statement, enter Correct if the argument is valid, or enter Incorrect if any part of the argument is flawed. Note: if the conclusion is true but the argument that led to it was wrong, you must enter Incorrect.
1. For all n>1, sin2(n)n2<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑sin2(n)n2 converges.
2. For all n>1, arctan(n)n3<π2n3, and the series π2∑1n3 converges, so by the Comparison Test, the series ∑arctan(n)n3 converges.
3. For all n>2, 1n2−5<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑1n2−5 converges.
4. For all n>2, n+1−−−−−√n>1n, and the series ∑1n diverges, so by the Comparison Test, the series ∑n+1−−−−−√n diverges.
5. For all n>2, nn3−2<2n2, and the series 2∑1n2 converges, so by the Comparison Test, the series ∑nn3−2 converges.
6. For all n>1, n2−n3<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑n2−n3

Answers

Answer 1
I don’t even know what the question is

Related Questions

What is -3v = 15 like I need this answer!!

Answers

Answer:

v = -5

Step-by-step explanation:

Answer:

v=-5

Step-by-step explanation:

-3 times -5= 15

You have $2,000 on a credit card that charges a 17% interest rate. If you want to pay off the credit card in 4 years, how much will you need to pay each month (assuming you don't charge anything new to the card)? Disclaimer: this is treating credit cards as an amortized loan, which they are not.

Answers

Answer:

$65?

Step-by-step explanation:

What is the median of the data represented by the box plot?

Answers

Answer:

20

Step-by-step explanation:

20 is the median, or middle value, of all values in the data set

help meeeeee plzzzzzz asap Find the area of the shaded regions.​

Answers

Area of a circle is PI x r^2

The radius of the large circle is shown as 8 m

The diameter of A is the radius of the large circle which is 8 m so the radius would be 4 m

The radius of the small circle would be 2m

Area of large circle = pi x 8^2 = 64pi = 200.96 square m

Area of middle circle = pi x 4^2 = 16pi = 50.24 square m.

Area of small circle = pi x 2^2 = 4pi = 12.56 square m.

The area of the shaded region = large - middle + small

Area = 64pi - 16pi + 4pi = p2pi square m or 200.96 -50.24 + 12.56 = 163.28 square m.

Juliette is a waitrees at Applebee's. The total for one of the tables she served was $51.87. The table wants to leave her an 18% tip. How much should Juliette make for her tip?​

Answers

Answer:

They should leave Juliette about a $9.34 tip  because 18% of 51.87 is 9.3366 which rounds up to 9.34

Answer:

18% of $51.87=9.3366tip is a required tip.

The safest way for someone to make an online purchase is to
A.ask friends what websites are secure.
B.check with the government first.
C.buy from a reputable website.
D. visit a locally run website.

Answers

Answer:

It is C - buy from a reputable website

Step-by-step explanation:

I got it right on the quiz. Good luck and may the Lord bless you!

Step-by-step explanation:

The safest way for someone to make an online purchase is to buy from a reputable website.

We have given that,

A.ask friends what websites are secure.

B.check with the government first.

C.buy from a reputable website.

D. visit a locally run website.

We have to determine

The safest way for someone to make an online purchase is to

What is the online purchases?

Online shopping is a form of electronic commerce that allows consumers to directly buy goods or services from a seller over the Internet using a web browser or a mobile app.

Therefore option C is correct.

Therefore the safest way for someone to make an online purchase is to buy from a reputable website.

To learn more about the online purchases visit:

https://brainly.com/question/14414476

#SPJ2

Kathleen bought some glasses. She received a rebate of $50. Of her glasses cost $125, how much did she pay?

Answers

Answer:

You will pay $62.5 for a item with original price of $125 when discounted 50%. In this example, if you buy an item at $125 with 50% discount, you will pay 125 - 62.5 = 62.5 dollars.

Step-by-step explanation:

Find the quadratic root of 3 x² - 4x + 2​

Answers

Answer:

it has no real roots.

and the 2nd answer is correct.

Step-by-step explanation:

Answer:

this quadratic equation has two roots:

x = (2+i√(2))/3 , (2-i√(2))/3

Steps:

3x²-4x+2​=0

x = (4±√((-4)²-4×3×2))/2×3

x = (4±√(16-24))/6

x = (4±√(-8))/6

x = (4±√(-2×4))/6

x = (4±√(-2)×√(4))/6

x = (4±i√(2)×2)/6

x = (2±i√(2))/3

x = (2+i√(2))/3 , (2-i√(2))/3

Simplify the expression:
[tex] ({2x + 5y})^{2} - ({3x + 4y})^{2} [/tex]

Answers

Step-by-step explanation:

the answer is in the picture

Answer:

3x+18y

Step-by-step explanation:

2x+5y+2x+5y-3x+4y+3x+4y

2x+2x-3x+3x+5y+5y+4y+4y

4x-x+10y+8y

3x+18y


Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term
is two times the fifth term. Find the common difference and the first term.


Answers

Answer:

The first term is -6 and common difference is 3

Step-by-step explanation:

The nth term of an arithmetic progression is expressed as;

Tn = a + (n-1)d

T3 = a+2d

T4 = a + 3d

If the third term of an arithmetic sequence less than the fourth term by three

T3 = T4 - 3

a+2d = a+3d - 3

2d - 3d = -3

-d  = -3

d = 3

Similarly;

T7 = a+6d

T5 = a+4d

If the seventh term  is two times the fifth term, the;

T7 = 2T5

a+6d = 2(a+4d)

a+6d = 2a+8d

Since d = 3

a + 6(3) = 2a + 8(3)

a+18 = 2a + 24

a-2a = 24 - 18

-a = 6

a = -6

Hence the first term is -6 and common difference is 3

find the surface area of this prism. geometry hw

Answers

Answer:

395.2 cm²

Step-by-step explanation:

2x12.7x6.72=170.688

2x6.72x5.78=77.6832

2x5.78x12.7=146.812

170.688+77.6832+146.812=395.1832

Answer:  A=395.2

Step-by-step explanation:

A=2(wl+hl+hw)

A=2[(12.7x5.78)+(6.72x5.78)+(6.72x12.7)]

A=2(73.406+38.8416+85.344)

A=2(197.5916)

A=395.1832

Rounded to nearest tenth..

A=395.2

Qi. calculate the thickness of a disc of
a diameter 14cm and Surface area
is 3cm?

Answers

Answer:

Thickens (Height) = 0.068 cm

Step-by-step explanation:

Given:

Diameter of disc = 14 cm

Radius of disc = 14 / 2 = 7 cm

Surface area = 3 cm²

Find:

Thickens (Height)

Computation:

Disc is a cylinder in shape

Surface area = 2πrh

3 = 2(22/7)(h)(7)

3 = 44(h)

Thickens (Height) = 0.068 cm

The probability that lucy will do. The drawing is 0.125. What is the probability that she will not win

Answers

Answer:

probability is alway 1 or less than 1

therefore the probability is 0.125/1

You work as a residential painter. A customer wants two tables and eight chairs painted using one coat of the same color paint. Each table requires 15858 quarts of paint, and each chair requires 2323 quarts of paint. How many total quarts of paint should you bring to paint this furniture?

Answers

Step-by-step explanation:

Let t be the number of tables

Let c be the number of chairs

Total paint needed = 15858t + 2323c

Given t = 2 and c = 8, substitute t and c into expression to find total paint needed

Total Paint needed = 15858(2) + 2323(8)

= 31716 + 18584

= 50300 quarts of paint

There are 4 seats available at a table in the lunch room of an elementary school, and 12 students are looking for seats. In how many ways can the seats at the table be filled with 4 of these 12 students?
495
2,970
11,880
20,736

Answers

Answer:

495

Step-by-step explanation:

12 Choose 4 = (12!) / 4! 8! = (12 · 11 · 10 · 9) / (4 · 3 · 2) = 495

Count the units from (2,4) to (-2,-6).How many blocks are between Jenna’s apartment and Zac’s house

Answers

Answer:

Distance = 10.77 unit (Approx.

Step-by-step explanation:

Given:

Coordinate of Jenna's house = (2,4)

Coordinate of Zac's house = (-2,-6)

Find:

Distance

Computation:

Distance = √(X1 - X2)² + (Y1 - Y2)²

Distance = √(2 + 2)² + (4 + 6)²

Distance = √(2 + 2)² + (10)²

Distance = √16 + 100

Distance = √116

Distance = 10.77 unit (Approx.

Find the area of a parallelogram with vertices (-7, 2), (6, 2), (6, -5), and (-7, -5). Use the coordinate grid below to help you find your answer.

Answers

Answer:91

Step-by-step explanation:

need to know how to measure the radius of m

Answers

Answer:

B. 7.4 units

Step-by-step explanation:

If M is the center then radius is just distance from M to outer edge.

Will name brainliest
Congruence proofs and reasons
Reasons must be from this list:
Reflexive property, segment bisector, angle bisector, linear pair, transitive property, perpendicular, SAS, ASA, CPCTC, AAS, HL, and SSS
Every word may not be used, but each may not be used more than once.
Answers must be structured as:
17,
2:
3(1):
3(2):
18,
2:
3:
4(1):
4(2):
19,
2:
3:
4:
5:
6:
7(1):
7(2):
20,
2:
3:
4:

Answers

Answer:

huh? Can you put it in a pdf

Step-by-step explanation:


please help with this ixl question

Answers

Answer:

I think it would be 25 hours

Step-by-step explanation:

Im not exactly sure but if she prepared 25 kg all together and prepares 1 kg every hour, then i think that would be 25 hours.

I hope this helps :)

Please tell me if im wrong

if you help me you are a sweet sweet sweet angel

Answers

Answer:

the last option

option four or D

Step-by-step explanation:

have a great day :)

Sylvie made the solid figures shown using unit cubes.
Which statement about these models is true?

A.The volume of Model A is 10 cubic units less than the volume of Model B.

B.The volume of Model B is 4 cubic units greater than the volume of Model A.

C.The volume of Model A and Model B combined is 54 cubic units.

D.Model A and Model B have the same volume.

Answers

Answer:

The answer is B.

"The volume of Model B is 4 cubic units greater than the volume of Model A."

Step-by-step explanation:

I just took the test and it's correct, I am sorry if it's not correct but I'm 99.9% sure it is accurate

Below is the graph of f(x) = 3 log10^ x. How would you describe the graph of
g(x) = 9 log10^x?
A. g(x) shifts f(x) to the right 3 units.
B. g(x) shifts f(x) up 3 units.
C. g(x) compresses f(x) by a factor of 3.
O
D. g(x) stretches f(x) vertically by a factor of 3

Answers

Answer:c

Step-by-step explanation:

Answer:D g(x) stretches f(x) vertically by a factor of 3.

Step-by-step explanation: ape3

Answer please 10 points

Answers

Answer:

3/4 to 9/6

Step-by-step explanation:

PLS HELP IM GONNA DIE IF SOMEONE DONT HELP ME ALL OF POINTSMr. Lopez had surveyed all of his 20 student of how
long it took them to read a five chapter book. ter they
read, Mr.Lopez had 1 students that took 5 hours, 4
students that took 3 hours,5 students that took 1 hour,
10 students that took 9 hours and 1 student who took 2
hours. What is the mean IQR, mode, and median?

Answers

Answer:

Put the given data in ascending order:

1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9

Mean is the average of 20:

(1*5 + 2 + 3*4 + 5 + 9*10)/20 = 5.7median = 5.7

Mode is the most repeated number:

mode = 9

Median is the average of the two middle numbers:

(3 + 5)/2 = 4median = 4

Mean = 5.7

Median = 4

Mode = 9

Jose rides his bicycle for 5 minutes to travel 8 blocks. He rides for 10 minutes to travel 16 blocks.

Answers

answer

15 = 24

20= 32

25=40

Anh randomly surveyed 36 students​

Answers

Anh randomly surveyed 36 students to see if there was interest in starting the 7th grade science club he found 4 students said they would be interested if 180 students are in the 7th grade how many can be expected to join?

4/36 = x/180

180/36 = 5

20/180

20 students would be intrested

The table shows the results of drawing 44 cards from a deck of 104 game cards. After each draw, the card is replaced.Based on the results, what is the chance that a draw results in a wild card?

Cards :Wild|Number|Penalty|

Freq: 10 | 32 | 2 |

10/44,  =

5/22

I WILL GIVE BRAINLIEST IF YOU HELP THIS IS REALLY HARD FOR ME I HAVE THE FIRST TWO JUST THE LAST ONE PLEASE ALSO EXPLAIN HOW YOU GET YOUR ANSWER THANK YOU SO MUCHHH!!!!

Answers

Answer:

n ≥ -1 or n ≤ 3

Combined:

-1 ≤ n ≤ 3

Since the inequalities are ≤, it'll be a closed circle

The closed circle will start AT -1 and another closed circle will end at 3

I need help on this!!

Answers

Answer:

C and A

Step-by-step explanation:

Part 1.

The area of a trapezoid is base 1 + base 2 divided by 2 times height.

Base 1 is 38, base 2 is 14, and the height is 16.

38 + 14 = 52, 52 / 2 = 26, and 26 x 16 = 416.

The answer is C, 416.

Part 2.

The area of a kite is diagonal 1 times diagonal 2 divided by 2. The length of diagonal 1 is 12 (on the left) + 12 (on the right) = 24. The length of diagonal 2 is 10 (on the top) + 18 (on the bottom) = 28.

28 x 24 / 2 = 336.

The answer is A, 336

Answer:

336

Step-by-step explanation:

In the figure, there are four triangles

Total Area = sum of four triangles areas

0.5(12*18)*2+0.5(12*10)*2=336

Plot points on the number line to represent all whole numbers that round to 200 to the nearest hundred and 250 when rounded to the nearest ten.

Answers

Answer:

To round a number to the nearest hundred, you make it into the hundred that is closest. Take the number 246, for example, which is between 200 and 300. It is closer to 200. So 246 rounded to the nearest hundred is 200.

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