Write an equation for the nth term of the arithmetic sequence. Then find a 30


-9, -6, - 3,0, ...

Answers

Answer 1

Answer:

The nth term is given by: [tex]a_n = -9 + 3(n-1)[/tex]

The 30th term is 78.

Step-by-step explanation:

Arithmetic sequence:

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference between terms.

-9, -6, - 3,0

This means that [tex]a_1 = -9, r = -6 - (-9) = -6 + 9 = 3[/tex]. So

[tex]a_n = -9 + 3(n-1)[/tex]

30th term:

[tex]a_30 = -9 + 3(30-1) = -9 + 87 = 78[/tex]

The 30th term is 78.


Related Questions

hi I was wondering if I could get some help on this plz ​

Answers

Answer:

17/18

Step-by-step explanation:

Which one is it plsss help

Answers

Answer:

You are correct it is c

Step-by-step explanation:

Solve for x.
x = 16
OA
-4, 4
B.
-8,8
OC.
-16, 16
D.
-32, 32
HELPPPP

Answers

Answer:

Its correct answer is A.-4,4.

Ms. Rashida is selling the school bag below at a 20% discount. What is the selling price of the bag?

Answers

Step-by-step explanation:

what is the price of the school bag it doesnt show?

Answer:

gffdddddddgfggdfgdgfdgdnjjh

Step-by-step explanation:

Find the perimeter. Use 3.14 for pi.

Answers

Step-by-step explanation:

perimeter=4×6-1/4 ×2π×3=24-1/2×3.14×3=24-4.71=19.29cm

Write the equation of the line that passes through the points (-3, 4) and (-3,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

x=-3

Step-by-step explanation:

y-4=(3-4)/(-3-(-3))(x+3)

y-4=1/(-3+3)  (x+3)

y-4=1/0(x+3)

or x+3=0

x=-3

Please help, having trouble

Answers

Answer:

shell pay morethen 30

Step-by-step explanation:

Answer:

It will be exact $30 after coupon and sales tax.

Step-by-step explanation:

2/9 of the students in a school are in sixth grade.

a. How many sixth graders are there if the school has
90 students?

b. How many sixth graders are there if the school has
27 students?

Answers

Answer:

A. 20

B. 6

C.189

Step-by-step explanation:

ALL I NEED IS THE EQATION!
This circle graph shows the results of a survey that asked 80 people which method of transportation they use to get to the city park.


How many people ride a bike to the city park?


8 people

20 people

25 people

32 people
Circle graph titled Methods of Transportation with Walk equals 10 percent, Bus equals 40 percent, Car equals 25 percent, and Bike equals 25 percent.

Answers

Answer:

b=0.25×80

or

b=1/4×80

Step-by-step explanation:

We know that bike equals 25%, so we just need to find 25% of 80.

b=0.25×80.

Answer:

20 people

Step-by-step explanation:

25% of 80 = 25

5 friends share two bags of Trail Mix equally what fraction of a bag of Trail Mix does each friend get​

Answers

Answer:

5/2

Step-by-step explanation:

5 divided by 2 is 2.5 and then 2.5 as a fraction is 5/2

Answer:

0.4 or 2/5

Step-by-step explanation:

I divided 2 by 5 because 2 bags were being split by 5 friends and got 2/5 which is also 0.4.

(hope this helps :P)

Leigh and Sara paid $1,178 last month to rent their apartment. Last month had 31 days. They divide to find out how much they paid per day. ?​

Answers

Answer:

1,178 divided by 31 is equal to 38. $38 paid each day.

(Please give me branilest)

The height of Jim's office building is 19 times the height of his house.
What is the height of the Jim's house if his office building is 110,3 m high?

Answers

5,805.263157894737m.
Because 110,3m %19= 5,805.263157894737

The height of Jim's house is needed.

The height of Jim's house is 5.8 m.

Algebra

Jim's office building is 19 times the height of his house.

The height of the office building is 110.3 m

Let [tex]o[/tex] be height of office

[tex]h[/tex] be height of house

So,

[tex]o=19h\\\Rightarrow h=\dfrac{o}{19}\\\Rightarrow h=\dfrac{110.3}{19}\\\Rightarrow h=5.8\ \text{m}[/tex]

Learn more about algebra:

https://brainly.com/question/6143254

3. Using the net, calculate and label the area of each face of the prism.

Add the areas of each face to find the surface area of the prism.
Plz help I will give 100 points to anyone who answers this correctly.

Answers

Answer:

rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units.

Step-by-step explanation:

k-12

TRUE OR FALSE PLEASE

Answers

Answer:

false

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

I'm pretty sure...

What is the answer I give brainlest

Answers

Answer:

Its the one on the left I'm pretty sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Gas expands when temperature rises and contracts when cooled. So the full balloon was heated and the partially filled ballon was cooled.


John drove 270 miles
in 2 hours. At this
rate, how long will it
take him to drive 405
miles.

Answers

Answer:

3 hrs. Realistically tho he would get a ticket or killed from a crash.

Step-by-step explanation:

270/2 to get mph which is 135mph

405/135 which is 3

So it will take him 3 hrs.

evaluate the expression for 6x-x to the power of 2
for x=0,1,2,3,4,5 & 6. Then drag n drop each number into the correct box to complete the table​

Answers

Answer:

0) 0

1) 5

2) 8

3) 9

4) 8

5) 5

6) 0

Step-by-step explanation:

Just input the values that the equation needs.

ex. when x=0

6(0)-(0)^2

0-0

0

Sorry! Not the best explanation but hopefully you get the idea :)

How many lines of symmetry does the figure have?

Answers

Im pretty sure it’s 3?
The answer will be 3

Which of these coordinates would represent the intercepts of the graph of the function f(x)=3x-9

Answers

Answer:

x    y

0    9

1     12

Step-by-step explanation:

Use the slope-intercept form to find the slope and y-intercept.

Slope:

3

y-intercept:

9

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

Choose

0

to substitute in for

x

to find the ordered pair.

y

=

9

Choose

1

to substitute in for

x

to find the ordered pair.

y

=

12

Create a table of the

x

and

y

values.

x

y

0

9

1

12

Graph the line using the slope and the y-intercept, or the points.

Slope:

3

y-intercept:

9

x

y

0

9

1

12

image of graph

Answer: (0,-8) and (2,0)

Step-by-step explanation: I took the test.

answer quick pls due today

Answers

Answer:

A

Step-by-step explanation:

Answer:

$17.17! I really hope this helped kiddo :3

I SUCK AT THIS. PLEASE HELP! Factor x^2-11x+24x.

Answers

Answer: I think it is (x+3) (x+8)

[tex]x^{2} +13[/tex]

Step-by-step explanation: can u gimme brain plz!

in the digram triangleADC below, EB||DC, AE = 3, ED = 6, and AB - 12. what is the length of AC

PLS HELP ASAP 50 POINT REWARD

Answers

Answer: をしつりつさつりつしゆる

Step-by-step explanation:手を去りててゆる

Answer:

2

Step-by-step explanation:

Pls help extra points and mark brainlist

Answers

7 is the correct answer


because a coefficient is the number next to the variable which is k. And the second term is 7k.

Slope and Y-Intercept
help plez

Answers

Slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{7}{4}[/tex]

y - intercept = -2

Will give brainliest! 15 points!
What is 1092 using the polynomial identity (a+b)2=a2+2ab+b2 ?

Drag and drop the correct responses into the boxes.

Let the smaller value a = Response area and the larger value b = Response area. Then a2+2ab+b2 is Response area. This can be simplified to Response area. So, 1092 is equal to Response area.

Answers

Answer:

Step-by-step explanation:

The fill ups is

Smallest number, a= 9

Largest number, b= 100

a²+ 2ab+ b² can be written as 9²+ 2. 9. 100 + 100²

What is Polynomial?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

Given:

Here the smallest number can be taken as 9.

and, here we have 109² then the number can be split as 100 + 9.

Thus, the largest number is 100.

Now, a²+ 2ab+ b² can be written as 9²+ 2. 9. 100 + 100² which can be simplified as 11881.

Learn more about Polynomial here:

https://brainly.com/question/11536910

#SPJ2

solve for x 0.72= 0.4( x 1.4)

Answers

Is it x • 1.4 because if it is then the answer is x = 9/7

Mai bikes 6 3/4 miles today, and Noah bikes 4 1/2

Answers

To find how many times the length of Noah's ride is compared to Mal's, you would divide the two mixed numbers:

6 3/4 divided by 4 1/2

Convert the mixed numbers to improper fractions:

27/4 divided by 9/2

To solve, multiply 27/4 by the reciprocal of 9/2:

27/4 * 2/9 = 3/2 or 1 and 1/2

So Mal's ride is 1.5 times longer than Noah's.

help please i need help like i will appreciate it alot thank u

Answers

Answer:

V = 186.67

Step-by-step explanation:

the answer is really 186.6777777, you get it

Which one is the right answer

Answers

Answer:

The second one. y = .2x + 1

Step-by-step explanation:

1 = .2*0 + 1

1.4 = .2*2 + 1

And so on

Hope this helps :)

the second one is correct

11) Which answer choice is equivalent to this
n +n +n + n
C) n.
A)
4+n
(B) An
D) n(n + 3)

Answers

Answer:

4n = B

Step-by-step explanation:

N + N + N + N

Pretend that n is equaled to 2

2 + 2 + 2 + 2 is also equaled to 4 * 2 because there are four 2s.

It is just the same as n + n + n + n = 4 * n

4 * n is also written as 4n which is B.

Lets also look at the other answers.

A does not make sense because 4 + 2 (the example) does not make sense.

C does not make sense because exponents deals with multiplying n and not adding it

D does not make sense because you can already tell using the Distributive property that it is wrong

The answer is b, I hope this helps!

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