Determine the nth term formula for each of the following sequences and find the limit if it exists.

3, 3,-3, 3,

Answers

Answer 1

Answer:

aₙ = (-3) (-1)ⁿ⁻¹

limit does not exist

Step-by-step explanation:

-3, 3, -3, 3, ...

This is an alternating geometric series where the first term is -3 and the common ratio is -1.  The nth term is therefore:

aₙ = (-3) (-1)ⁿ⁻¹

Since the sequence alternates between -3 and 3, the limit as n approaches infinity of aₙ does not exist.


Related Questions

A card is picked at random from the following set. ​ ​What is P(9) ? Write your answer as a percentage in the box given below.

Answers

Answer:

25%

Step-by-step explanation:

The (not mentioned in the question) set is: 6 7 8 9.

There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:

P(9) = favorable outcome/total outcomes

P(9) = 1/4 = 0.25 or 0.25*100 = 25%

What is the slope of the line that passes through the points (-2, 7) and (2,-5)?
Write your answer in simplest form.​

Answers

Answer:

Denote that line: y = ax + b

Line passes (-2, 7) and (2,-5):

=> -2a + b =7

=>  2a + b = -5

Add both side of above equations:

=> 2b = 2

=> b = 1

=> a = (-5 - 1)/2 = -3

=> Slope a = -3

Hope this helps!

:)

This question is based on the equation of line. Therefore, the slope of the line is -3 that passes through the points (-2, 7) and (2,-5).

Given:

Points are (-2, 7) and (2,-5).

We need to calculate the slope of the line that passes through the points (-2, 7) and (2,-5).

According to the question,

As we know that, equation of line: y = mx +c

It is given that, line passes through points, (-2, 7) and (2,-5).

Now, putting this points in equation of line: y = mx +c.

We get,

=> -2m + c =7                                   ...(1)

=> 2m + c = -5                                ...(2)

Now, adding and solving above two equations,

We get, c = 1

Then, putting  the value of b= 1 in equation (1).

We get, m = -3.

Therefore, the slope of the line is -3 that passes through the points (-2, 7) and (2,-5).

For more details, prefer this link:

https://brainly.com/question/21511618

Language arts test is worth 100 points there is a total of 26 question There are spelling words question that I wasn't points each in vocabulary words question worth five points each how much of each type of question are there

Answers

Answer: There are 10 two points and 16 five points questions.

Step-by-step explanation:

This is the detailed question:

A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?

Let y = the number of 2 points questions

Let z = the number of 5 points questions

y + z = 26 ......... i

2y + 5z = 100 ........ ii

Multiply equation i by 2

Multiply equation ii by 1

2y + 2z = 52 ......... iii

2y + 5z = 100 ....... iv

Subtract iv from iii

-3z = -48

z = 48/3

z = 16

Since y + z = 26

y = 26 - 16

y = 10

y = 10 two points questions

z = 16 five points questions

There are 10 two points and 16 five points questions.

You roll a number cube 20 times. Which scenario is least likely?

Answers

Answer:

you won't roll the same number 5 times

ession r' - (3+2)
(3 + 2)2 for 2 = 4.

Answers

Answer:

Step-by-step explanation:

idk im aooy

Help meeee!!! Whats x

Answers

Answer:

74°

Step-by-step explanation:

The angle on a line = 180°

therefore:.

x + 106° = 180°

x = 180° - 106°

x = 74°

Answer: 74 degrees.

Step-by-step explanation:

Angles on the same side of a line add to 180.

The angle measure of 106 and the angle measure of x lie on the same side of the line WZ, so you can add them both to get 180:

106 + x = 180

x = 74

A school dedicated 50% of the courtyard area for students to start a garden. The students want to know how much of the 632-square-foot space they will be able to use.

Answers

Answer:70

Step-by-step explanation:

Answer:

this is SUPER late but it is 1/2 x 632

Step-by-step explanation:

John made 2 quarts of juice for a school party. He said that he made 2/4 cup of juice. A. Explain John's mistake. B. How many cups of juice did John actually make?

Answers

Answer:

A. He thought 1 quart = 1/4 cup

B. actually made 8 cups of juice

Step-by-step explanation:

From conversion,

1 cup =1/4 quarts

A. John thought 1 quarts = 1/4 cup, which was his mistake

B. His 2/4 cups is actually

4*2 = 8 cups

3. The measure of each inscribed
angle is equal to( )times the
measure of the intercepted arc.
a. 1/2
b. 1
c. 2

Answers

Answer: A. 1/2

Step-by-step explanation:

Deja is training for a race on Saturday. On Sunday, she runs 1/6 of a mile. On Monday she runs 1/5 of a mile. On Tuesday she runs 1/4 of a mile. On Wednesday she runs 1/3 of a mile. On Thursday she runs 1/2 of a mile. Finally, on Friday, the day before the race, she runs a whole mile. If the length of the race is the same as the total distance Deja ran in preparation, how many miles is the race?

Answers

Answer:

49/20 miles or 2.45 miles

Step-by-step explanation:

LCM(1,2,3,4,5,6,)=60

10/60+12/60+15/60+20/60+30/60+60/60=147/60=49/60 or 2.45

what’s the solution

Answers

Answer:

We need more info

Step-by-step explanation:.

3.64 divided by 60.5 ROUNDED plz answer!!!

Answers

Answer:

0.06

Step-by-step explanation:

How many solutions does this equation have?

–8 + t = –t + 10

Answers

Answer:

One

Step-by-step explanation:

Since (1) is the highest exponent value, there can only be one solution.

IF t^2 then there would be two answers.

Answer:

One solution

Step-by-step explanation:

To find the amount of solutions, you must solve first:

-8 + t = -t + 10

First, add t to both sides:

-8 + 2t = 10

Add 8 to both sides:

2t = 18

Divide both sides by 2:

t = 9

Since there has been a solution to this equation, that means there's only one solution.

Luke bought three canvas boxes to store his papers. The canvas boxes have dimensions of 12 inches by 10 inches by 12 inches. What volume of itmes can be the three canva boxes hold?

Answers

Given Information:

Number of boxes = 3

Length of boxes = L = 12 inches

Width of boxes = W = 10 inches

Height of boxes = H = 12 inches

Required Information:

Volume of items boxes can hold = ?

Answer:

[tex]Volume = 4320 \: in^{3}[/tex]

Step-by-step explanation:

We are given that Luke bought 3 canvas boxes to store his papers.

We are also provided the dimensions of boxes.

We are asked to find out the volume of items that can be stored by these 3 canva boxes.

A canva box has shape of a rectangular prism and its volume is given by

[tex]Volume = L \times W \times H[/tex]

Where L is the length of the box, W is the width, and H is the height of box.

[tex]Volume = 12 \times 10 \times 12 \\\\Volume = 1440 \: in^{3}[/tex]

So the volume of 3 boxes is

[tex]Volume = 3\times 1440 \\\\Volume = 4320 \: in^{3}[/tex]

Therefore, the 3 canva boxes can store 4320 cubic inches of volume.

Answer:

D) 4,320

Step-by-step explanation:

Duffy completed a 50-meter dash in 36 seconds. That was 90 percent of the time it took Paul to complete it. What was Paul's time?
42 seconds
38 seconds
40 seconds
36 seconds

Answers

Answer:

40 seconds

Step-by-step explanation

Solve the quadratic by factoring.
x2 - 4x = -4x + 4

Answers

Answer:

x=2 or x=-2

Step-by-step explanation:

ax^2+bx+c=0

first we rearrange this equation so we get x^2+(-4+4)x-4=0 so its x^2-4=0 so that means b=0 now we should find two numbers that when we multiply them we get c and when we subtract them we get b so that two numbers are 2 and -2

A piepie is divided into 2020 equal pieces. GlennGlenn and SophieSophie each ate one fourth 1 4 of the piepie on MondayMonday. The next​ day, SophieSophie ate one fifth 1 5 of the piepie that was leftover. How many of the pieces of the original piepie ​remain? Explain your reasoning. ​Together, GlennGlenn and SophieSophie ate one fourth 1 4 ​piece(s) on MondayMonday​, and SophieSophie ate one fifth 1 5 ​piece(s) the next day. To find the number of pieces that​ remain, add these numbers to the total number of pieces.​ So, 0.450.45 pieces of the original piepie remain.

Answers

Answer:

Pieces remaining =  1 - (1/4 + 1/4) - (1/2 x1/5) = 1/2 - (1/2 x1/5) = 1/2 - 1/10 = 4/10

Therefore, 4/10 x 20 = 8 pieces.

Step-by-step explanation:

Sophie ate 1/4 = 5 pieces

Glenn ate 1/4 = 5 pieces

Remaining pieces = 20 - 5 - 5 = 10 pieces

On Monday, Sophie ate = 1/5 x 10 = 2 pieces

Therefore, remaining pieces = 10 - 2 pieces = 8 pieces

Sophie and Glenn consumed half of the pie the first day.  This is equal to 10 pieces.  The remaining pieces will be 10.  If, on Monday, Sophie ate 1/5 of 10 pieces, representing 2 pieces, the number left over is 10 Minus 2, which equals 8 pieces.

NEED ANSWER ASAP
For the function
f(x) = |x|-2, find the value when x = -3

Answers

Answer:

1

Step-by-step explanation:

The absolute value of -3 is just 3, because it has a distance of 3 away from 0. Therefore, [tex]\mid -3 \mid -2=3-2=1[/tex]. Hope this helps!

Today, there were 2 members absent from the band. The present members folded 25 programs each, for a total of 525 programs. How many members are in the band when no one is absent…

Answers

Answer:

23

Step-by-step explanation:

225/25 = 21

21+2=23

Answer:

How many members are in the band when no one is absent?

the answer is c if you are refering to the khan academy question

Step-by-step explanation:

its from khan academy

plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

88 inches

Step-by-step explanation:

The given bicycle has a tyre that is 28 inches in diameter.

How far the bicycle moves forward each time the wheel goes around is the circumference of the bicycle tyre.

This is calculated using the formula:

C =\pi \: d

We substitute the diameter and

\pi =  \frac{22}{7}

C =  \frac{22}{7}  \times 28

This simplifies to

C =22 \times 4

88 \: inches

Which of the following is the quotient of the rational expressions shown
below?

Answers

Answer :
A

Explanation:

Prodigy math i will mark you brainliest if you get it right

Answers

Answer:

8 and 2/8

Step-by-step explanation:

3 and 2/8 times 2 is 6 and 4/8 then u subtract that from 14 and 6/8

Answer:

1 is 18, and 2 is 36 brainliest

Step-by-step explanation:

which of these numbers are prime 29,33,51,65,70

Answers

Answer:

29 and 51

Step-by-step explanation:

29 and 51 are prime because the only factors of them are the numbers themselves and 1.

29/1 = 29        51/1 = 51

The composite numbers are 33, 65, and 70 because they have more than one factor.

33/3 = 11     65/5 = 13  70/10 = 7

If this answer is correct, please make me Brainliest!

Which of the following situations is not an example of financial responsibility? Select all that apply.
(there is more than one answer)
A.pay with cash instead of a credit card
B.making payments on time
C.not sticking to a set budget
D.spending all of your paycheck
E.using coupons when you can

Answers

Answer:

C.not sticking to a set budget

D.spending all of your paycheck

Step-by-step explanation:

The situations which are not an example of financial responsibility are C. not sticking to a set budget and D. spending all of your paychecks.

Given are some situations in the options.

It is required to find those which are included in the financial responsibility.

Financial responsibility can be defined as the responsibility of a person who uses finances responsibly without spending too much or dealing with finance carelessly.

A) pay with cash instead of a credit card

This is something a responsible person does, who will not use a credit card until urgency came.

B) making payments on time

A financially responsible person will make payments on time. I not, the person will be affected by future bulk payments which will be very difficult then.

C) not sticking to a set budget

A financially irresponsible person will not stick to a budget and spends so much carelessly.

D) spending all of your paycheck

If a person is financially responsible, the person will not spend ll paychecks, since some will go to savings.

E) using coupons when you can

Using coupons when you can is a good thing in the case of finance since it will save money.

Hence the correct options are C and D.

Learn more about Financial Responsibility here :

https://brainly.com/question/8741325

#SPJ2

A circular rug has the radius of 4 feet. Which of the following is closest to the number of square inches the rug covers.

A. 55.26 ft2

B. 50.24 ft2

C. 29.7 ft2

D. 33.6 ft2

Answers

Answer:

B. 50.24ft

Step-by-step explanation:

A=(pie)r^2

A=3.14(4)^2

A=3.14 * 16

A=50.27

Closest to 50.24

Rosia ate 1/8 of a pizza. She then split the remainder of the pizza so she could share with her friend. What fraction of the pizza did they each take home?

Answers

Answer:

7/16

Step-by-step explanation:

hey can anyone pls help me out in dis pls i will mark u as brainliest!!!!! and i will give 30 points

Answers

Answer:

graph b because its a parabola

Step-by-step explanation:

Answer:

Graph B does not belong

Step-by-step explanation:

All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic

Solve for x in the following figure.

Answers

Answer:

x=80°

Step-by-step explanation:

supplementary angles equal 180°

∠J=80

80+x+20=180

100+x=180

x=80

How would you find the area of this?

Answers

the formula for it is bh , multiply 14 by 24 and the answer is 336

Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?

Answers

I think its 40ft i hope it helps

Answer: 40 feet

Step-by-step explanation:  Volume = length * width * height

then substitute Volume = 2 * 4 * 5

multiply Volume = 8 * 5

multiply again Volume = 40

hope this helps mark me brainliest if it did have a great day

Other Questions
PLEASE HELP I DON'T HAVE ANYTIME LEFT!!!!Which inequality is true? Use the number line to help.A number line going from negative 2.5 to positive 2.5 in increments of 0.5.Negative 1.5 greater-than 0.5Negative 0.5 greater-than 0Negative 1.5 less-than negative 0.5One-half greater-than 0.5 The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey. Number of math courses, discrete; weight of backpack, discrete Number of math courses, discrete; weight of backpack, continuous Number of math courses, continuous; weight of backpack, discrete Number of math courses, continuous; weight of backpack, continuous Unable to determine from information given Darwin would probably say that Rudolph the Red Nosed Reindeer was the first reindeer to have a rednose as a result of: What is the greatest common factor for each group? Write one paragraph a minimum of 4 sentences to describe what concepts or strategies you have learned. Explain how you will use these concepts or strategies to help you in learning for the future Would Mexico have viewed a Mexican advance north of the Rio Grande as an invasion of the US? What is the equation of the line through (2, -4) and (0, 4) In this circuit the battery provides 3 V, the resistance R1 is 7 , and R2 is 5 . What is the current through resistor R2? Give your answer in units of Amps. An Amp is 1 Coulomb of charge flowing through a cross-sectional area of the wire per second - that's a lot of charge per second and will warm up a typical wire quite a bit! Most devices have circuits with larger resistors - kLaTeX: \Omega (103 LaTeX: \Omega) and MLaTeX: \Omega (106 LaTeX: \Omega) are common. Direct object pronouns in Spanish change _____ and _____ depending on the noun or nouns they replace. gender; stem verbs; adverbs gender; number verbs; adjectives What is the hydrogen ion concentration [H+] of a HCl solution if the pH is measured to be 2.0? Is mercury (the planet) rocky or gaseous(meaning relating to or having the characteristics of a gas.) The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width in units of the rectangle Is it okay to use the transition for example in a argumentative essay Which one of the following states that you like to help your mother?Me encanta cocinar con mam.Me gusta ayudar a mam.Me gusta cocinar a mam.Me gusta lavar a mam. Answer as soon as you see this. I need lots of help Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5%per year. What interest does he earn at the end of 1 year? The dog is mine, not the grumpy dog over there. Real World Problems with Rational Numbers26Directions: Drag each point to the correct location on the number line.Jean climbed 3 of the distance to the top of the cliff as shown on the number line. Terry climbed 3 of the distance less than Jean.Steve climbed 5 of the distance more than Jean. Drag the points to the correct locations on the number line.TerrySteve1 how many times did Wheatfield change hands What is the volume in cubic centimeters if thepyramid has a height of 27 centimeters?