Mathematics High School

Write a function to describe each arithmetic sequence
10, 14, 18, 22

Answers

Answer 1

Answer:

The function that describes the arithmetic sequence is A(n) = 4n + 6

Step-by-step explanation:

The formula of the arithmetic sequence is a[tex]_{n}[/tex] = a + (n - 1)d, where

a is the first term of the sequenced is the common difference between each 2 consecutive termsn is the position of the number

∵ The terms of the sequence area 10, 14, 18, 22

∵ The first term is 10

∴ a = 10

∵ 14 - 10 = 4

∵ 18 - 14 = 4

∵ 22 - 18 = 4

∴ The common difference is 4

∴ d = 4

→ Substitute them in the formula above

∵ a[tex]_{n}[/tex] = 10 + (n - 1)4

∴ a[tex]_{n}[/tex] = 10 + n(4) - 1(4)

∴ a[tex]_{n}[/tex] = 10 + 4n - 4

→ Add the like terms

∵ a[tex]_{n}[/tex] = 4n + (10 - 4)

∴ a[tex]_{n}[/tex] = 4n + 6

→ Write it in the form of the function A(n)

∴ A(n) = 4n + 6

∴ The function that describes the arithmetic sequence is A(n) = 4n + 6

Related Questions

Somebody told me to take this picture a little bit closer

Answers

Answer:

well the slope is...

Step-by-step explanation:

4/3 but i don't know about the equation part

Answer:

y=4/3x+4

Step-by-step explanation:

y=mx+b

hope this is right lol I believe it is correct

PLEASE HURRY!!!
Use the graph of the function to answer the question.
A line that passes through points (negative 4, 5), (negative 3, 3) and (negative 2, 1).

What is the output of the function when the input is −3?

Answers

I think -1.5 because the line passes through-1.5

4(x+6)-3x=26 what is the x value

Answers

Answer:

x=2

Step-by-step explanation:

4 (x + 6) - 3x = 26

solve the parenthesis

4x + 24 - 3x = 26

subtract 24 from both sides to get x by itself

4x - 3x = 2

solve

x = 2

X=2 Solve for

by simplifying both sides of the equation, then isolating the variable.

Pleaseeeee helpppp me

Answers

Answer:

Lil

Step-by-step explanation:

I say the 1. Is A and the 2. Is A Bc all squares ADD up to 180

find the value of x.

Answers

Answer:

x=4

Step-by-step explanation:

2/x:6/12

6x=24

x=4

i’ll make brainlest. help asap pls

Solve the system of equations by using the elimination method.
4x + 6y = 2
–4x + 4y = -12
Enter the solution as an ordered pair.

Answers

Answer:

(2, -1)

Step-by-step explanation:

We can add the first equation by the second

(4x + 6y = 2)+(-4x + 4y = -12)=

10y=-10

we divide both sides by 10 to get

y=-1

We plug -1 in the second equation to get:

-4x+4(-1)=-12

-4x-4=-12

-4x=-8

Now, we divide both sides by -4

x=2

Hope this helps!

A dance teacher surveyed one of her classes about their favorite type of dance. Of those surveyed, 5 favored ballet, 2 favored tap, and 3 favored jazz. Based on these results, predict how many of the teacher's 90 dancers will not favor tap.

Answers

Answer:

72 students

Step-by-step explanation:

80% of the students already do not favor tap (8/10)

to get 90 students you multiply by 9.

8x9 is 72.

The results are 72 students that would not favor tap

Polygon DEFG has coordinates D(2, 5), E(3, 1), F(4, 6), and G(6, 6). If the polygon is translated 2 units to the left, what are the coordinates of G'?

Answers

Answer:

(4,6)

Step-by-step explanation:

You buy a cell phone for $95. The sales tax is 6%. How much do you pay in all?

Answers

Answer:

$95 x 6.25% = 5.9375

So, 95 + 5.9375 =

($) 100.9375

Step-by-step explanation:

Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31.
If each bottle costs the same amount, how much is each bottle of juice?

Answers

Answer:

$0.77

Step-by-step explanation:

To find how much each bottle of juice costs, divide 2.31 by 3:

2.31/3

= 0.77

So, each bottle of juice is $0.77

Answer: $0.77

Step-by-step explanation:

the total cost of three bottles is $2.31 because each bottle cost the same amount we can divide by 3 to get our answer.

Given: angle 1= angle 2
If AB=10,AC=6,and BC=6, find AD.

A.5
B.15
C.10​

Answers

Answer:

AD=5

Step-by-step explanation:

We are given that

AB=10, AC=6 BC=6

We have to find the value of AD.

Let AD=x

BD=AB-AD

BD=10-x

Credits to: lublana

 

Step-by-step explanation

What’s the slope of the parallel line that passes through (-13, -2) and (14, 13).

Answers

The slope of the line is 0.75

Answer: 5/9

Step-by-step explanation:

Slope formula: y2-y1/x2-x1

y2= 13

y1=-2

x2=14

x1=-13

OR

y2=-2

y1=13

x2=-13

x1=14

(You'll get the same answer either way so it doesn't matter which one you choose, I'm gonna go with the first one.)

m=y2-y1/x2-x1

=13-(-2)/14-(-13)

=13+2/14+13

=15/27

=5/9

Hope this helps :D

I need help! please help

Answers

Answer:

B

Step-by-step explanation:

Please mark me brainleist

The sum of a number and two is equal to negative seven. Translate this sentence to an equation and then find the number.

5
9
-9
-5

Answers

x + 2 = -7
your answer to this equation is x=-9

Answer:

its C

Step-by-step explanation:

-3 × (-12)5 ?
what is the answer????

Answers

answer:
180

explanation:

follow PEMDAS.

-12 x 5 = -60


-60 x -3 = 180

Answer:

If the X sign is multiple

=-3*-60

=180

which statement describes the transformation that would map triangle M to triangle N on this grid

answer choices
A. (X, Y) → (-X + 5, -Y)
B. (X, Y) → (-X + 5, Y)
C. (X, Y) → (X + 5, -Y)
D. (X, Y) → (X + 5, Y)

this is geometry btw :)​

Answers

Answer:

i believe the answer would be B

Step-by-step explanation:

Sketch a polynomial that has:
-odd degree
negative leading coefficient
f(2) = -3
f(-3) = 0
4 is a zero with multiplicity of 2​

Answers

Answer:

6 summary is answer and stuff

WILL MARK BRAINLIST!!!!
A string of lights is 69 1/3 feet long. The lightbulbs are spaced 8 inches apart. The diagram shows the beginning of the string and the end of the string. What is the total number of lightbulbs on the string of lights?

Answers

I think it is 8 because 8 * 8 is 64 and 8 * 9 is 72 so it couldn’t be more than 8

Answer: 104

Step-by-step explanation:

I multiplied 69 1/3 by 12 to get how many inches it would. Then I divided that answer by 8 and got 103.999999999999. If you round it then you would get 104.

solve for c: c-7 ≥ -3
​

Answers

c> or =-3+7
c> or =4

Give the opposite of the opposite of the integer: 4​

Answers

Answer:

-4?

Hope I helped

Answer:

4

Step-by-step explanation:

A cell phone company charges $42 per month of service. The cost of a new cell phone, plus 8 months of service, is $415.99. How much does it cost to buy a new cell phone and 3 months of service? F $79.99 G $126.00 H $205.99 J $289.99 ​

Answers

Answer: F : $79.99

Step-by-step explanation:

42 x 8 = 339

415.99 - 339 = 79.99

Look at the image below, i have everything added up but i cant get the corn it says “5 for $1.00” but i need 6 corn on the cob, how do i figure that out?

Answers

Answer: They are no directions

Step-by-step explanation:

Find the equation of the line

Answers

Do you mean the measure?

What is the solution to the equation 1/4x+2=-5/8x-5

Answers

the answer would be -8

Answer:

X = -8

Step-by-step explanation:

The explanation is in the image.

A store starts the day with 36 packages of juice boxes.Each package contains the same number of juice boxes.By the end of the day,ther are only 8packages of juice boxes left.

Answers

Answer:

Number of package sold = 24 package

Step-by-step explanation:

Given:

Total number of package = 36

Remain package = 8

Computation:

Number of package sold = Total number of package - Remain package

Number of package sold = 36 - 8

Number of package sold = 24 package

Select two linear pairs.

Answers

Answer:

The answer is B and A. Linear pairs are a set of angles that form a supplementary angle.

Step-by-step explanation:

The answer would "B"

Which equation is true when the value of x is 3.5 help

Answers

Answer:2x-8=1

Step-by-step explanation:

Answer:The answer is 2-8=1

Step-by-step explanation:

WILL GIVE BRAINLIEST.

Answers

Answer:

f(x)=1/4x

Step-by-step explanation:

As the x value increases, f(x) decreases at a constant rate of 1/4.

To join a gym, there is a monthly fee of $12 and a $5 fee per workout class you take. Which of the following functions would show the cost, in dollars, for a month that she takes w workout classes?

C(w) = 12w
C(w) = 5w + 12
C(w) = 12 + 5w
C(w)= 17w

Answers

Answer:

[tex]C(w) = 5w + 12[/tex]

[tex]C(w) = 12+5w[/tex]

Step-by-step explanation:

Given information:

- Monthly fee of $12

- $5 fee per workout class

- [tex]w[/tex] represents the workout classes taken for a month

- - - -

With the given information, we can conclude that [tex]C(w)=[/tex] workout fee + monthly fee.

Workout fee = [tex]$5w[/tex]

Monthly fee = [tex]$12[/tex]

∴ [tex]C(w) = 5w + 12[/tex] or [tex]C(w) = 12+5w[/tex] (they are the same)

Hope this helps :)

what is this answer 9x2000​

Answers

18,000


just use a calculator bro

Answer:

18,000

Step-by-step explanation:

Other Questions
Read this excerpt from A Black Hole is NOT a Hole.Now try this tasty thought experiment. Say some friends far outside the black hole decide to send you a snack. If they launch a red apple your way, its invisible to you at first. But keep your eyes peeled! Eventually, the apple shifts from invisible to blue, then to green, yellow, orange, and finally red, as it passes through gravitational zones that are closer and closer to the same strength as yours. Quick! Grab that apple before it disappears! Remember, once it whizzes past you, all its light continues in one direction, toward the center of the black hole, and you wont see it anymore.Which question does the paragraph answer?How fast does light move at different points in a black hole?What happens to an apple in a black hole?How does light appear in a black hole?Which types of fruit appear as the correct color in a black hole? Which is equivalent to 64 1/4? Stacy is wanting to lose 10-12 pounds by the summer time which is in 4 months. She wants to create a workout routine that she can easily follow. Exercises that she will do include riding her bike at a moderate intensity for an hour and or going to a body pump workout classes at the gym that is an hour long. She like the the workout classes because the classes are at a vigorous intensity. Stacy plans to workout at least 5 days a week to reach her goal by then end of the 4 months. What is Stacy's FREQUENCY Plz help!!!!!How does the United States affect politics and government in Colombia today?Responses A. It supports rebels who are attempting to overthrow Colombia's government. B. It helped bring about a peace deal between fighting ethnic groups in Colombia. C. It provides military help to the Colombian government against insurgents. D. It supports Colombia's neighbors in disputes about land and resources. what is f - 11 = 14 2/7 Read and choose the correct word for the blank that matches the image. Woman practicing gymnastics on two strong chairs in a gym Practico deportes con sillas ________. duras blandas rojas rosadas Tyler runs 8 miles and it takes him 64 minutes. How many miles can he run in 20 minutes? The Renaissance period was a time where art and culture were centered around reviving Greek and Roman art and customs.TrueFalse Is 6r + 3w - 2r + 5w equivalent to 4(r + 2w)Please help I need the answer ASAP What is the product of the reaction? Please answer with the correct answer! Thanks. 34Lucy runs 4 meters to the east, then 5 meters south. What is the magnitude of her displacement?Show Your Work HELP FAST PLSVoting is a basic right given to Americans. What does voter suppression tell you about the power that politicians and leaders of the country possess? What are your thoughts about voter suppression? Can you measure 4 gallons of water using a 3 gallon jar and a 6 gallon jar? Explain the origins of the mesoamerican civilization known as the Aztecs and include how their civilization functionedCan someone give me a brief sentence explaining the orgin. ignore this there is nothing to see State one way the aerospace industry and space program affect Florida's economy. On see the inverse Nutrlicative meses have a product of 1. Find the multiplicative inverses of the terms in the first column Show that the given number and its multiplicauve inverse have a product of 1. Then, use the inverse to write each comesponding expression in standard form. The first row is completed for you Multiplicat Proof-Show that Use each inverse to write its the other khan academy assignment If a kid refuses to sleep during nap time, are they guilty of resisting a rest? 1.) Solve the system of equations by method of elimination. Show all your work.2x + 4y = 810x 4y = 16