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

Jenny played four games of golf. For these games her modal score was 76 and her mean score was 75. Her range of scores was 10. What were her scores for the four games?​

Answers

75 x4=300(total scores)
Modal score is 76, so at least two of the 4 game scores must be 76.
That’s all I’ve got:)

Write in the form a to the power of n where n < 01/ 9x9x9x9x9x9x9x9x9x9

Answers

The answer is

31381059609

The cost of 6 purses is Rs.453. How many such purses can be bought for Rs.604

Answers

Answer:

8 Purses

Step-by-step explanation:

6 divided by 453= 75.5

604 divided by 75.5= 8

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PLS HELP!!!!!
I WILL PUT BRAINLIEST!!!!!!

Which of these graphs represents a function?

Answers

Answer:

X

Step-by-step explanation:

Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.

Answers

Answer:

Step-by-step explanation:

These two angles are interior and on the same side of the transversal. Therefore they are supplementary.

6x + x + 5 = 180

7x + 5 = 180                   Subtract 5 from both sides

7x = 180 - 5

7x = 175                        Divide by 7

x = 175/7

x = 25

x + 5 = 25 + 5 = 30

6x = 6*25 =       150

please help! will make u brainliest

Answers

Answer:

i. Rs6,000

ii. Rs6,900

Step-by-step explanation:

i. FV = PV(1 + r)^d

FV = 40,000(1 + 0.15)^1

FV = 40,000(1.15)

FV = 46, 000

46, 000 - 40,000

Interest = Rs6, 000

ii. FV = PV(1 + r)^d

FV = 46,000(1 + 0.15)^1

FV = 46, 000(1.15)

FV = 52, 900

52, 900 - 46, 000

Interest = Rs6, 900

[tex]\huge\mathcal{♨Answer♥}[/tex]

Answer is on the attachment...

...hope this helps...

_♡_mashi_♡_

If the line passing through points ( - 5, - 2) and ( 4,-1), what is the slope?

Answers

Slope is the change in y over the change in x.

Slope = (-1 - -2) / (4 - -5)

Slope = 1/9

Can someone help me with this? (Do not upload through file only text please!)

Answers

Answer:

-6

Step-by-step explanation:

f(0) =  5(0) -6

f(0) = -6

amara needs $624 for her budget every week. She works 40 hours a week.CLEARCHECKWhat is the minimum amount Tamara needs to earn per hour?$per hour

Answers

She needs to earn at least about 16$ every hour

15.6 or

Step-by-step explanation:

Based on the given conditions, formulate:

624 ÷ 40

Reduce the fraction:

get the result:

15.6 or

Answer:

15.6 or

(Hope this helps can I pls have brainliest

Help Me WHAT is 2 + 2

Answers

Answer:

4

Step-by-step explanation:

Answer:

= 4

2 + 2 = 4

Step-by-step explanation:

yw :-)

distributive property

Answers

Answer:

that's have no answer so sorry

Can you write out the question? Can’t see it in the picture.

Rico wants to buy the new Madden NFL game. It costs $60.00. He has $24.78 in

his bank account. He will also get $20 for mowing his neighbors lawns. ACreate a

number line to represent the situation. ALSO how much more does he need in

order to buy the game? *

A. Create a number line to represent the situation.


B. How much more does he need in order to buy the game?

Your answer

.

Answers

Answer:

a.

Step-by-step explanation:

its the right way

Owen's score in a card game is 6
points away from zero. If David's score
is the opposite of Owen's and is a
positive value, what is David's score?

Answers

Answer:

aaa is easy you can pitch the ball

Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

What is absolute value of a number?

The absolute value of a number is the magnitude of number. Absolute value describes the distance from zero that a number is on the number line, without considering direction.

We have Owen's score in a card game is 6 points away from zero. David's score is the opposite of Owen's and is a positive value.

For a number [x], such that [x] < 0, the absolute value would be -

v[a] = -x

A number cannot be negative and positive at the same time, therefore, Owens score is 6 points away from 0, but in the negative direction of number line. So, Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

Therefore, Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

To solve more questions on number line, visit the link below-

https://brainly.com/question/24402764

#SPJ2

PLEASE HURRY!

Nicholas started a canned-food drive at school. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected. Explain how to determine how many days it would take to collect 2600 cans.

Answers

Answer:

11 days

Step-by-step explanation:

because Nicholas was given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Answer:

11 days

Step-by-step explanation:

Solve with elimination please

Answers

Answer:

x = 6

Step-by-step explanation:

6x - 3y = -21 => 6x = 3y - 21

4x = 3y - 9 => 4x = 3y - 9

-2x =  -12

-2x/-2 = -12/-2

x = 6

Hope this works

Sup!! can you answer this?
also answer fast kid

Answers

Answer:

try d) 17 m

sorry if it's wrong

1. A person who weighs 100pounds on Earth weighs 16.5 pounds on the Moon. If a boy
weighs 86pounds on Earth, how much does he weigh on the moon

Answers

Answer:

That person would weigh 14.22 lbs.

PLEASE HELP WILL GIVE BRAINLIEST AND 100 POINTS

Answers

Answer:

answer down below:

https://vsa.flvs.net/default.aspx?PageID=117&fn=Student-Dashboard

Step-by-step explanation:

Answer:

4, 7.5

Step-by-step explanation:

4. (x+6)(x+10)=140 ->

x=4

5. 550 = 8(x-2)(x+5) ->

x=15/2=7.5

Hope that helps! :)

A shopping mall has $3,368 to spend on new tiles for the floor. If each tile costs $8, how
many tiles can the mall buy?
tiles

Answers

Answer:

421 tiles

Step-by-step explanation:

3368/8=421

Answer:

421 tiles

Step-by-step explanation:

Divide $3368 by $8 to determine the number of tiles the store can purchase:

$3368/($8 per tile) = 421 tiles

4.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

y = −3x^2 − 29x + 30

A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30

B. linear function; linear term: −29x; constant term: 30

C. linear function; linear term: −26x; constant term: −24

D. quadratic function; quadratic term: 4x^2; linear term: −26x; constant term: −24

Answers

Answer:

A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30

Step-by-step explanation:

this is a quadratic function

quadratic term is -3x^2 , linear = -29x and constant = + 30.

Answer:

Quadratic term = (-3x²)

Linear term = (-29x)

Constant term = 30

Step-by-step explanation:

We have to classify the function as linear or quadratic.

Linear function ⇒ Is a function in which highest degree of variable is one.

Quadratic function ⇒ Is a function in which highest degree term or variable is 2.

Therefore, in the given function y = -3² - 29x + 30, (-3x²) is the highest degree term with the degreeof 2.

So the given function is quadratic.

In this function Quadratic term = (-3x²)

                        Linear term = (-29x)

                        Constant term = 30

Four integers have a mean of 12, a median of 12, a mode of 12 and a range of 6.

Find the four integers.

Answers

the four integers can possibly be 4,8,10,2

Help last day !!!!!!!!!!!!!!!

Answers

Answer:

The equation of the lines with the given point does not have a y-intercept of 4 but has a y-intercept of -4.

Step-by-step explanation:

y-intercept is 4

addition ordered pairs on the line are (2, -2), (4, 0), (6, 2), (8, 4)

Find the slope using two of the points: (2, -2), (4, 0).

Slope = (change in the y values)/(change in the x values0

Slope = [0 -(-2)]/ (4 - 2) =   2/ 2 = 1

Checking to see if the y-intercept is 4 substituting  slope (m) = 1 and (2, - 2)

      y = mx + b

     -2 = 1(2) + b

     -2 = 2 + b

  -2 - 2 = b

    -4 = b   so we know that the y-intercept is not 4 but it is -4.

Now write the equation of the line using a slope = 1 and y-intercept of -4

y = mx + b

y = x - 4

Next check the other points into the equation of the line to see if the equation is correct.

x = 2   did y = -2 ?    y = x - 4;   y = 2 - 4 ; y = -2     point (2, -2) works.

x  = 4   did y = 0?     y = x - 4;  y = 4 - 4;  y = 0       point (4,0)  works.

x = 6    did y = 2?     y = x - 4;  y = 6 - 4; y = 2         point (6, 2) works.

x = 8     did y = 4?     y = x - 4; y = 8 - 4;  y = 4        point (8, 4) works.

find vertex and min/max !! HELP ASAP!!
y=-2(x+9)(x+3)

Answers

Answer:

max at (- 6, 18 )

Step-by-step explanation:

Given the equation of a parabola in intercept form

y = a(x + c)(x + d)

• If a > 0 then min vertex

• If a < 0 then max vertex

y = - 2(x + 9)(x + 3) ← is in intercept form

with a = - 2 < 0 then max vertex

y = - 2(x + 9)(x + 3) ← expand factors using FOIL

  = - 2(x² + 12x + 27) ← distribute parenthesis by - 2

y = - 2x² - 24x - 54 ← in standard form

with a = - 2 and b = - 24

The x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex] = - [tex]\frac{-24}{-4}[/tex] = - 6

Substitute x = - 6 into the equation and evaluate for y

y = - 2(- 6 + 9)(- 6 + 3) = - 2(3)(- 3) = 18

vertex = (- 6, 18 ) and is a max

Your 12 turkeys drink 7.6 L of water a day. How
much water does one turkey drink per day?

Answers

find the unit rate by setting up a proportion

Which inequality is true when the value of d is −13?

Answers

Answer:

A. -5 - 3(6) > 10

   13 > 10

Step-by-step explanation:

give us the options to answer then we can answer it

another mathh question

Answers

where is the Question!!!

can you plz give me brainliest I really need it

Your question is incomplete.

Please if you need help I will try to help you :)

Have a Good Day.

1/6 x 2/3 please help

Answers

Answer:

2/18 or 1/9

Step-by-step explanation:

just directly multiply it 2×1=2

6×3=18 so 2/18 simplify 1/9

help please!! I don't get it :(​

Answers

Answer:

90 degree

Step-by-step explanation:

What they said 90 degrees

Find the equation of the horizontal line passing through the point (-1,0)

Answers

Answer:

y = 0

Step-by-step explanation:

When a question says find the horizontal line through certain points all you need to do is take the 2nd point which is 0 and make y equal to that. Doing that covers all x possibilities which means -1 is included and since you made y = 0 it passes through 0 as well.

What is one solution to the systems of linear equations?

Answers

Answer:

Graph 1.  (4, 4).

Graph 2. (4, -4).

Step-by-step explanation:

The solution is the point where the lines intersect.

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