Which geometric series converges?
CO
Σ(-3) 2-1
Η =1
O
Σ5-1) 2-1
CO
Ο Σ4(-02 - 1
H=1
CO
Σ06(-2) 2-1
h=1

Which Geometric Series Converges?CO(-3) 2-1 =1O5-1) 2-1CO 4(-02 - 1H=1CO06(-2) 2-1h=1

Answers

Answer 1

Answer:

its C

Step-by-step explanation:

i just did it on edge and plus its really not cool to post answers when you dont actually know the answer bc people that actually want to help cant bc there only two answers allowed per question. so please dont answer if your not trying to help.  

Answer 2

The geometric series [tex]\sum_{n=1}^{\infty} 5(-1)^{n-1}[/tex] converges to zero.

What is convergent and divergent geometric series?

A mathematical term denoting an endless series of the form

a + ar + ar² + ar³ + ⋯, where r is referred to as the common ratio. The geometric series for a = 1 and r = 1/2, or 1 + 1/2 + 1/4 + 1/8 +, is a straightforward example.

A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit.

In contrast, a divergent series is one whose partial sums do not reach a limit. The Divergent series usually approaches infinity.

From the given options let us try with [tex]\sum_{n=1}^{\infty} 5(-1)^{n-1}[/tex].

[tex]= 5\sum_{n=1}^{\infty} (-1)^{n-1}.[/tex]

[tex]= 5\sum_{n=1}^{\infty} (-1)^{n}.\frac{1}{-1}[/tex].

[tex]= -5\sum_{n=1}^{\infty} (-1)^{n}.[/tex]

= - 5[- 1 + 1 - 1 + 1 ...+ 1].

= - 5[0].

= 0.

learn more about geometric sequences here :

https://brainly.com/question/19235539

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Related Questions

According to the picture, whats the answer?

Answers

To do this u need to muliple each side or use Socratic

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

x < -36

Step-by-step explanation:

Subtract 14 from both sides:

14 + x < -22

-14         - 14

___________

x < -36

Someone please help me with my math

Answers

Answer:

1. re-arrange numbers in order.

37, 38, 43, 45, 57, 57, 58

THE MEDIAN IS 45

2. To find Mean, add up all the numbers then divide by how many numbers there are.

when added together, it is 335

335 / 7

47.857

THE MEAN IS 47.857

Evaluate the compositions indicated for the given functions. f (x) = –2x3, g(x) = x2 + 3x – 8, h(x) = 5x f (g(h(–1))) = ?

Answers

Answer:

it’s a

Step-by-step explanation:

Answer:

First answer is -16, second answer is 10

Step-by-step explanation:

Just did it on Edge

in which number is the value of 5 ten times the value of the 5 in 10.059

Answers

Answer:

it must be 0.5

Step-by-step explanation:

0.05 x 10 = 0.5

I want brainliest!!!

Answer:

12.57

Step-by-step explanation:

The 5 in the number 10.059 is placed at the hundredth place. i.e. the value of 5 in 10.059 is 0.05. Now, ten times the value of 5 = 10 × 0.05 =  0.5. Let us take 12.57. We see that 5 is placed at the tenths place and has value 10 times the value of 5 in 10.059. Hence, the number comes out to be 12.57.

Twenty-four cards are numbered from 1 to 24 and placed in a box. One card is selected at random
and not replaced. Another card is randomly selected. What is the probability of selecting two even
numbers?

Answers

Answer:

11/46

Step-by-step explanation:

Given that there are 24 cards numbered 1 - 24

Even Cards = 2,4,6,8,10,12,14,16,18,20,22,24

Odd Cards = 1,3,5,7,9,11,13,15,17,19,21,23

We can see above that in the beginning, we have:

12 odd and 12 even cards (total of 24 cards)

If we draw the first card and it is even,

P(even number on first draw) = 12/24 = 1/2

If the card is not replaced, now we have:

12 odd cards and 11 even cards (total of 23 cards)

If we draw the 2nd card and it is even,

P(even number on second draw) = 11/23

Hence probabliliy of drawing the first even card, not replacing and then drawing another even card

= (1/2) x (11/23)

= 11/46

Answer:

11/46

Step-by-step explanation:

between 1  and 24 there are 12 even numbers.

the probability of selecting an even number the first time is 12/24 = 1/2

the probability of the second one being an even number without replacement is 11/23

the probability of both being even numbers without replacement is:

1/2 * 11/23

= 11/46



If U = 6 feet, V = 8 feet, W = 3 feet, X = 6 feet, Y = 12 feet, and Z = 4 feet, what is the area of the object?
A. 72 square feet
B. 60 square feet
C. 78 square feet
D. 132 square feet

Answers

Answer:

idk

Step-by-step explanation:

The equation y = 15x represents the total number of pages read in x days.


Use the equation to complete the table.


a =

b =

c =

d =

Answers

Answer:A= 75

B-150

C-225

D-300

Step-by-step explanation:. Y=15x, so you would take the x axis numbers and times it by 15, and then your answer will be there.

Answer:

order from top to bottom 75  150  225  300

Step-by-step explanation:

The difference between a number m and the product of m and n.



Pls help fast!

Answers

Answer:

m-mn

Step-by-step explanation:

Answer:

m-mn

Step-by-step explanation:

The product would be multiplacation.

m*n=mn

And you are subtracting that from m.

So, the answer would be m-mn.

Hope this helped.

What numbers are missing from this pattern 36,2,13,21,?,?,?,?,36,2,13,21

Answers

Answer:

  36,2,13,21

Step-by-step explanation:

At its simplest, it is a repeating sequence of 4 numbers:

  36,2,13,21

So, those are the four missing numbers.

Please Help ASAP Correct answer will get brainliest!!!!!


Please I am so desperate.

Answers

Answer:

27 m² (blue fabric)

9 m² (brown fabric)

Step-by-step explanation:

Area of a triangle = 1/2*base *height

Area of 4 triangles = 4* 1/2*3*4.5 = 27 m² (blue fabric)

Area of a square = side² = 3² = 9 m² (brown fabric)

What are rational number

Answers

Answer:

By splitting two entries, a logical number can be generated.

Step-by-step explanation:

By splitting two entries, a logical number can be generated.

Answer above.

Example: 0, 1, 1/2, 22/7, 12345/67

Hope this helps.

Answer:

Rational numbers are numbers that can turn into fractions.

[tex]\text {A number is Rational if it can be written as }\frac{p}{q}.\\\text {'p' and 'q' must be integers.}\\\\q\neq 0[/tex]

All whole numbers and integers are rational.

For decimals, they have to be repeating or non-terminating.  

Numbers that cannot be turned into fractions under the 'p/q' guidelines are irrational numbers.

Suppose b is any integer. If b mod 12 = 5, then 7b mod 12

Answers

The result follows directly from properties of modular arithmetic:

[tex]b\equiv5\pmod{12}\implies 7b\equiv35\equiv-1\equiv\boxed{11}\pmod{12}[/tex]

That is,

[tex]b\equiv5\pmod{12}[/tex]

means we can write [tex]b=12n+5[/tex] for some integer [tex]n[/tex]. Then

[tex]7b=7(12n+5)=12(7n)+35[/tex]

and taken mod 12, the first term goes away, so

[tex]7b\equiv35\pmod{12}[/tex]

etc

plzzz help me im Marshmello

Answers

So the right answer is 7.

Look at the attached picture

Hope it will help you..

good luck on your assignment

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

[tex]4(x - 3) = 16 \\ 4x - 12 = 16 \\ 4x = 16 + 12 \\ 4x = 28 \\ \frac{4x}{4} = \frac{28}{4} \\ x = 7[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Anna's toy car traveled 0.7 meters. Hector's toy car traveled 0.72 meters. Whose car traveled farther? Select from the drop-down list to complete the sentence. Explain your answer

Answers

Answer:

When you do adding and subtracting with decimals just line up the decimal points and do the math regularly

0.72

-0.7

_____

0.02 meters further so Hector's car traveled farther

0.6

+0.25

_____

0.85 swam in total

Hope this helps

Step-by-step explanation:

Would you rather have a cup of ice cream that hold last a volume of 21.21 inches or a cone that has a radius of 1.5 inches and height of 3 inches?

Answers

Answer:

I will prefer the cone having volume 21.21 cubic inches.

Step-by-step explanation:

A cup of ice cream holds ice cream = 21.21 cubic inches

Since volume of a cone = Capacity of the cone to hold the ice cream

Volume of an another cone having radius (r) = 1.5 inches and height (h) = 3 inches will be,

         V = [tex]\frac{1}{3}(\pi)(r^{2} )(h)[/tex]

           = [tex]\frac{1}{3}(\pi )(1.5)^{2}(3)[/tex]

           = 7.069

           ≈ 7.07 cubic inches

Since the volume of the second cone is less than the first cone, I will prefer the first cone with volume = 21.21 inches³

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

Answers

Answer:

D

Step-by-step explanation:

Like I said last time, since the graph is moved up by 3 units, the answer is choice D. Hope this helps!

which expression cannot be simplified? A.8x-8 B.8x-x C.8x+5x D.(8+5)x E.-(x+x) why

Answers

Answer:

A.8X-8

Step-by-step explanation:

because you cannot subtract a variable from a non variable hope this helps

Answer

8 * -8

Step-by-step explanation:

Hope this helps have a wonderful day

Is a quadrilateral a trapezoid? (True or False)

PLEASE HELP QUICKLY THANK YOU ​

Answers

Answer:

False

Step-by-step explanation:

All trapezoids are quadrilaterals, not all quadralaterals are trapezoids.

Answer:

A quadrilateral is any shape with four sides. So yes a trapezoid is a quadrilateral.

Step-by-step explanation:

A recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9. The distribution of number of movies watched per month follows the normal distribution. A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?

Answers

Answer:

We conclude that college students watch fewer movies a month than high school students at the 0.05 significance level.

Step-by-step explanation:

We are given that a recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9.

A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1.

Let [tex]\mu[/tex] = mean number of movies watched by college students last month.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 7.6 movies      {means that college students watch higher or equal movies a month than high school students}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 7.6 movies     {means that college students watch fewer movies a month than high school students}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                          T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean number of movies watched last month = 7.1

            σ = population standard deviation = 0.9

            n = sample of college students = 39

So, the test statistics  =  [tex]\frac{7.1-7.6}{\frac{0.9}{\sqrt{39} } }[/tex]

                                       =  -3.47

The value of z test statistics is -3.47.

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is less than the critical value of z as -3.47 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that college students watch fewer movies a month than high school students.

Your parents are purchasing a mobile home for $89,000. The sales tax is 4.2%, they make a $3,000 down payment, and they have an excellent credit score. How much is the interest at the end of the second month if their first month’s payment is $925.67?


Secured Unsecured

Credit APR (%) APR (%)

Excellent 4.75 5.50

Good 5.00 5.90

Average 5.85 6.75

Fair 6.40 7.25

Poor 7.50 8.40




$381.29



$352.95



$379.36



$300.15

Answers

Answer:

The second option ,$ 352.95  is correct

Step-by-step explanation:

The total cost of the home is the list price of $89,000 plus the sales tax of 4.2%

total cost=$89,000+($89,000*4.2%)=$92,738

loan amount=total cost-down payment=92738

-3000=$89738

APR is 4.75% since they have an excellent credit score

interest for first month=89738

*4.75%/12=$ 355.21  

Principal payment in first month=total payment-interest=925.67- 355.21 =$570.46

principal left after first payment=$89,738

-$570.46=$89,167.54  

second month interest payment= 89,167.54*4.75%/12=$ 352.95

The correct option is $ 352.95  which is the second option

3 1/2 cups as a multiplication expression using the unit 1 cup

Answers

Answer:

4 1/2

Step-by-step explanation:

A rectangular prism has a length of 17cm, a height of 20cm, and a width of 18cm.
What is its volume, in cubic cm?

Answers

Answer:

  6120 cm³

Step-by-step explanation:

You want the volume of a rectangular prism 17 cm by 20 cm by 18 cm.

Volume

The volume of a rectangular prism is given by the formula ...

  V = LWH

Using the given values for length, width, and height, we find the volume to be ...

  V = (17 cm)(18 cm)(20 cm) = 6120 cm³

The volume of the prism is 6120 cubic centimeters.

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Jim pays $75 per month for a cell phone plan plus $0.30 per minute beyond the first 1000 minutes. His bill was $105.60 last month. How many minutes did he use?

Answers

Answer:

1102 minutes

Step-by-step explanation:

Easy way to do it:   1000 + 102 = 1102

Step by step

1: 105.60=75+0.30(x-1000)

2: 105.60 =75+0.30x−300

3: 105.60=0.30x−225

4: 1056=3x−2250

5: 1056+2250=3x

6: 3306=3x

7: x=1102

Hope this helps.

Find the surface area of the prism. 3m, 12m, 13m, 5m

Answers

to find the surface area you have to find the area of EACH faces then just add them together and you'll get the answer :) im sorry if i cant give tje. answer because i dont know how the diagram looks like :(

hope this helps

Which point has coordinates (5, 3)?

A. Y

B. U

C. W

D. Z

Answers

Umm i dont see the picture

PLEASEE HELPP MEEE WITH NUMBERSSS 6 AND 7
ILL MARKK U BRAINLIEST FOR UR EFFORT FOR THE CORRECT ANSWER!!!!!!!!!!

Answers

Answer:

6.)66 degrees

7.)20 degrees

Step-by-step explanation:

Angle 114 and angle 3 are supplementary, meaning that they can be added to get 180 degrees

If you subtract 114 from 180 you get 66 degrees

Angle D and Angle C are both complimentary, meaning that if you add them together you get 90 degrees

If you subtract 70 from 90 you get 20

What is the slope of the equation y=5/4x-7/4?

Answers

Answer:

The slope is 5/4

Step-by-step explanation:

In the equation y=mx+b, m is always the slope.

Answer: c

Step-by-step explanation:

5/4

I need help ASAP please. Brainliest

Answers

Answer:

  see below

Step-by-step explanation:

The two terms 9 and -10 can be combined to give -1.

The two terms 2x and -18x can be combined to give -16x.

Fully simplified, the expression would be ...

   -16x +14y -1

__

Anything with different coefficients is not equivalent. Anything with only one pair of terms combined is "not fully simplified."

Help please. Will put brainliest

Answers

Answer:

17,7501737

Step-by-step explanation:

A suitable table or calculator is needed.

One standard deviation from the mean includes 68.27% of the total, so the number of bottles in the range 20 ± 0.16 ounces will be ...

  0.6827·26,000 = 17,750 . . . . . within 20 ± 0.16

__

The number below 1.5 standard deviations below the mean is about 6.68%, so for the given sample size is expected to be ...

  0.66799·26,000 = 1737 . . . . . below 19.76

_____

Comment on the first number

The "empirical rule" tells you that 68% of the population is within 1 standard deviation (0.16 ounces) of the mean. When the number involved is expected to be expressed to 5 significant digits, your probability value needs better accuracy than that. To 6 digits, the value is 0.682689, which gives the same "rounded to the nearest integer" value as the one shown above.

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