An arithmetic sequence is given below.
15, 19, 23 ,27 …
Write an explicit formula for the nth term an

Answers

Answer 1

Step-by-step explanation:

arithmetic sequence means every new term is the previous term plus a certain constant.

as we can see, this constant is +4 in our case.

15 + 4 = 19

19 + 4 = 23

23 + 4 = 27

...

so, we have

a1 = 15

a2 = a1 + 4 = 15 + 4 = 19

a3 = a2 + 4 = a1 + 4 + 4 = a1 + 2×4 = 15 + 8 = 23

...

an = an-1 + 4 = a1 + (n-1)×4 = 15 + (n-1)×4


Related Questions

Modeling Real Life A principal invites 138 students to a reward breakfast. Nine students sit at each table. How many tables are there?

Answers

Answer:

16 tables

Step-by-step explanation:

So there are 138 students, and 9 sit at each table. This means you do 138/9, which leaves you with 15.3333. However you cant have .3 of a table so there must be 16 tables!

Sara took skydiving lessons. The Skydome charges $45 per hour for lessons. Sara also gave her Skydiving Instructor a tip of $20. Define the unknown in the scenario and assign it a letter or symbol. math

Answers

Answer:

45+20=t   t=65

Step-by-step explanation:

t is my assigned letter

Hope this helps

I need help pleaseeeeee

Answers

Answer:

top one is 8x bottom is 9

Step-by-step explanation:

What is the perimeter of this arrangement? ​

Answers

28 is the answer for your problem

Lyndon got a new job which pays $24.25 per hour. He works 40 hours per week. He pays 5% state income tax on his earnings. How much does Lyndon have remaining after state income tax is deducted from 4 weeks of pay?

Answers

Answer:

$3686 remaining after tax

Step-by-step explanation:

I need help with these

Answers

I was too lazy to write all that on here so i did it on paper to make it easier, hope this helps :)

do u mind help me pls?​

Answers

2. perpendicular, parallel, perpendicular, neither, parallel

3. A

4. B

A recipe calls for 310 cup of sugar for every 5 cups of water. How many cups of sugar are needed for 25 cups of water?

Answers

Answer:

1550 cups

Step-by-step explanation:

multiply everything by 5

What is another word for the input values in a proportional table.

a) y-values


b) output values


c) plug in value


d) x-values

Answers

D because the input value is also Known as the X value

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21. 8 cm. A regular pentagon has an apothem with a length of 3 centimeters and a perimeter of 21. 8 centimeters. What is the area of the pentagon, rounded to the nearest tenth? 13. 8 cm2 17. 3 cm2 32. 7 cm2 69. 0 cm2.

Answers

Answer:

Step-by-step explanation:

Brainly.com

Question

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm. A regular pentagon has an apothem with a length of 3 centimeters and a perimeter of 21.8 centimeters. What is the area of the pentagon, rounded to the nearest tenth? 13.8 cm2 17.3 cm2 32.7 cm2 69.0 cm2

Answer · 10 votes

Answer:32.7cmStep-by-step explanation:just took the

What is the Answer for
y=2+frac{1+x}{1-2x}

Answers

Answer:

[tex]x=\frac{y-3}{2y-3}[/tex]

Step-by-step explanation:

[tex]y=2+\frac{1+x}{1-2x}[/tex]

First, subtract 2 from both sides:

[tex]y-2=\frac{1+x}{1-2x}[/tex]

Multiply both sides by (1 - 2x):

[tex]y-2(1-2x)=1+x\\y-2xy-2+4x=1+x[/tex]

Subtract 1, subtract x, and add 2xy to both sides:

[tex]y-3+3x=2xy[/tex]

Subtract 3x from both sides:

[tex]y-3=2xy-3x[/tex]

Factor out the x:

[tex]y-3=x(2y-3)[/tex]

Finally, divide both sides by (2y-3):

[tex]x=\frac{y-3}{2y-3}[/tex]

Keep in mind that this is undefined at y=1.5. The original equation is also undefined at 0.5.

PLEASE IM BEGGING PLEASE I RLLY NEED THIS PKS PLS

Answers

Answer:

yeah I don't know why I don't know so please don't ask me

Step-by-step explanation:

ido

y is directly proportional to ( x - 4 ) . When x = 16, y = 3. Find y in terms of x.

Answers

hope this helpsssss

what is coefficient of 10 and a constant of 5?

Answers

Answer:

10x+5.................

Does someone have the answer to this??? Thank You so much

Answers

Answer:

22

Step-by-step explanation:

Answer:

f(0)=22

Step-by-step explanation:

f(0)=13(2)^0+9

f(0)=13(1)+9

f(0)=13+9

f(0)=22

(any number raised to 0 is 1)

Which ordered pair represents the reflection of the point (−2,3) over the y-axis?

Answers

Answer:

there is no y axis because the term is kept in second of y and if that is negative then only y axis will there otherwise there will no y axis

The ordered pair represents the reflection of the point (−2,3) over the y-axis is (2, 3)

What is reflection of the points over the axis?

A reflection of a point in the axes involved reflecting the image over the axes to create a mirror image.

Given that, a point is (-2,3) is being reflected over y-axis,

Rule of reflection over y-axis is, A(x, y) ↔ A'(-x, y)

Therefore, applying the rule to (-2,3):

(-2,3) ↔ (2, 3)

Hence, the reflected point is (2, 3)

For more references on reflection over axes, click;

https://brainly.com/question/29253977

#SPJ2

What type of angle is 19 degrees

Answers

Answer:

Obtuse Angle

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

please help me with this:(((((​

Answers

1.) Not sure about the first one
2.) 2
3.) Y=3x-9

someome help in math please

Answers

Answer:

[tex] - n + 4(2c + 2) + 6n = .... \\ - 5 + 4(4 + 2) + 30 = .... \\ 19 + 30 = 49[/tex]

your answer is 49
hope this helps ^^

Answer:57

4. Here are the steps Tyler took to solve the equation Vx+3 = -5.
Vx+3=-5
+ 3
x + 3 = 25
x= 22
a. Check Tyler's answer: Is the equation true if x = 22? Explain or show your
reasoning.
b. What mistake did Tyler make?

Answers

Answer:

vx=-5-3

Step-by-step explanation:

vx=,-8 oooooooookkk

The owner of a bookstore buys used books from customers for $1.50 each. The owner then resells the used books
for 400% of the amount he paid for them.
What is the price of a used book in this bookstore?

need the answer

Answers

The price of a used book in the bookstore after the percentage increase in its price is $7.50.

What are percentages?

Percentage can be described as the fraction out of an amount that is usually expressed as a number out of hundred. Percentages are represented with this sign - %.

What is the price of the used book?

Price = 1.50 x ( 1 + 4)

1.5 x 5 = $7.50

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer:

j 6.00

Step-by-step explanation:

i took the test hope this helps good luck

Is that the right answer

Answers

Yes it is 45% = 45/100 = 9/20 = 0.45

Please help with this math problem!! :)

Answers

Answer:

Step-by-step explanation:

a^2 + B^2 = C^2

and all angle added together should make 180  

    the left box should be 20 and the right box should 17.321

At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.

The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.

2x + 3y = 1240

x = 2y – 10

How many of each type of ticket were sold?

180 food tickets and 293 ride tickets
180 food tickets and 350 ride tickets
293 food tickets and 180 ride tickets
350 food tickets and 180 ride tickets

Answers

Answer:

180 food tickets and 350 ride tickets

Step-by-step explanation:

The number of food tickets sold is 180 and ride tickets is 350.

In order to determine how many of each type of ticket was sold, the two equations given have to be solved simultaneously using the substitution method.

2x + 3y = 1240 equation 1

x = 2y – 10 equation 2

Substitute for x in equation 1

2(2y -10) + 3y = 1240

4y - 20 + 3y = 1240

Combine similar terms

7y = 1240 + 20

7y = 1260

Divide both sides of the equation by 7

y = 1260 / 7

y = 180

Substitute for y in equation 1

2x + 3(180) = 1240

2x + 540 = 1240

2x = 1240 - 540

2x = 700

x = 700 / 2

x = 350

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Write your answer as a decimal. If the decimal has more than 2 decimal places, round to 2 decimal places.

Answers

Where’s the question??

To get a free bonus gift, you must spend at least $100 in a

certain department store on Tuesday. On Tuesday, Mary made

purchases of $15, $26.50, and $40. What is the least amount she

needs to spend in order to be eligible for the bonus gift?

Answers

Spent amount= $81.50

Pending= $18.50

Please help (WILL MARK BRAINLIEST) if right and it has an explanation.

Answers

Answer:

64 cm^2

Step-by-step explanation:

First we find the area of the central square: 4^2=16 cm^2

Then we can find the area of the 4 other triangles: 6*4*1/2*(4)->(There are 4 triangles)

We get 48+16, which is 64 cm^2

20 points! :D

Not sure how to do this. :/

Answers

Answer:

t = (A - P) / Pr

Step-by-step explanation:

A = P + Prt

A - P = Prt

(A - P) / Pr = t

t = (A - P) / Pr

There are 30 coins in 5 rows.

How many coins in each row?

Answers

Answer:

It is 30 divide by 5

Step-by-step explanation:

write an equation in slope-intercept form of the line (-10,-4) and (5,6)

Answers

Answer:

y = 2/3x + 8/3

Step-by-step explanation:

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