Describe the relationship between the terms in each arithmetic sequence. Then
write the next three terms in each sequence. (Examples 1 and 2)

Describe The Relationship Between The Terms In Each Arithmetic Sequence. Thenwrite The Next Three Terms

Answers

Answer 1

Answer:

(a) The sum of the previous term and 9

(b) 36, 45, 54

Step-by-step explanation:

Given

Sequence: Arithmetic Progression

[tex]0,9,18,27[/tex]

Solving (a): Describe the relationship in each term

First, we calculate the common difference (d)

In arithmetic progression:

[tex]d = T_n - T_{n-1}[/tex]

Take n as 2

[tex]d = T_2 - T_{2-1}[/tex]

[tex]d = T_2 - T_{1}[/tex]

Where

[tex]T_2 = 9\ and\ T_1 = 0[/tex]

[tex]d =9-0[/tex]

[tex]d =9[/tex]

The relationship is: The sum of the previous term and 9

Solving (b): The next three terms

As said in (a) each term is derived from a sum of 9 and the previous term

So, we have:

[tex]Next\ Term = 27 + 9 = 36[/tex]

[tex]Next = 36 + 9 = 45[/tex]

[tex]Next = 45 + 9 = 54[/tex]

Hence, the next three terms are: 36, 45 and 54


Related Questions

Please help me 123 or 4........

Answers

I want to say A or b

Answer:

It's 2

Step-by-step explanation:

Hope this helps

there are 12 boys and 8 girls in the french club.
1) what is the ratio of boys to girls?
A. 2:5
B. 3:5
C: 2:3
D: 3:2
2) what percent of the members of the french group are girls?
A) 8%
B) 40%
C) 60%
D) 75%

Answers

Answer:

1)

D. 3:2

2)

B. 40%

as, no. of girls=8

total no. of students =12+8=20

now,

percentage of girls=no.of girls/total no. of students ×100%

=8/20×100%

=40%

Lane bought 12 pencils for
$0.39 each. What was the total cost of the
pencils before sales tax was added?

Answers

Answer:

$4.68

Step-by-step explanation:

if you do 0.39 x 12 you get 4.68

Answer:

$4.68

Step-by-step explanation:

12x0.39=$4.68

uhm please help me
I’m not really good at Math as you can tell :(

Also: Don’t mind the tabs (^^;)

Answers

Answer:

5 37.50

10 75

hope it helps

Step-by-step explanation:

prove me wrong

Answer:

Lol the you tube tab though XD

Step-by-step explanation:

What is the value of the growth factor of the function?
A) 1/5
B) 1/3
C) 2
D) 6

Answers

Answer:

B

Step-by-step explanation:

Divide 18 by one third and see what ya get

then 6, then 2. BOOM!

Which of the following make a right triangle? I really need help thank you

Answers

Answer:

i think its e.. not 100 procent sure but i think it is

Step-by-step explanation:

Answer:

E would be the best answer but not 100%

Step-by-step explanation:

Please help me if you can​

Answers

Answer:

1)-9x^5 + 7x^2 + 3    2)  -2x2 • (x - 7)      3)  -23v^2 + 7v + 4    4) is just 7x

Which value for s will make this equation true?

s(11 - s) = 24​

Answers

There are two solutions; s=3 and s=8

3(11-3)=24
33-9=24
24=24

8(11-8)=24
88-64=24
24=24
I think answer should be 24 please give me brainlest let me know if correct or not okay thanks bye I appreciate it

1. Albert bought a bicycle for $27 500. He sold it for $35 500.
a) What was the amount of his profit?
b) What was his percentage profit?​

Answers

35,500-27,500= 8000 meaning $8,000 is the profit and the percentage is %35

A sandbox is located at (-8, -3). How many UNITS apart on the coordinate plane are the locations of the swing set and the sandbox?

Answers

where is the swing set

what is the power to 2​

Answers

A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.

A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.

A student performed the following steps to find the solution to the equation
X2 - 2x - 8 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x - 4) and (x - 2)
Step 2. X-4 = 0 and x - 2 = 0
Step 3. x = 4 and x = 2
A. in Step 2
B. in Step 1
C. The student did not make any mistakes, the solution is correct
D. in Step 3

Answers

Answer:(b) step 1

Step-by-step explanation:

The wrong step in the student's workings is step 1

How to determine the wrong step?

The equation is given as:

x^2 - 2x - 8 = 0

Expand the equation

x^2 + 2x - 4x - 8 = 0

Factorize the equation

x(x + 2)- 4(x + 2)

Factor out x + 2

(x - 4)(x + 2) = 0

The above means that the factored equation of x^2 - 2x - 8 = 0 is (x - 4)(x + 2) = 0

This means that the step 1 of the student's step is wrong and incorrect

Read more about equations at:

https://brainly.com/question/2972832

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Can someone please help! Its just Area so it should be pretty simple but I am stuck please help!

Answers

Answer:

3 and 7

Step-by-step explanation:

A number n is no more than 8.

Answers

Answer:

n<8

Step-by-step explanation:

Answer: N < 8

Step-by-step explanation:

Which inequality is true

A

B

C

D

Check picture

Answers

it would be a

Step-by-step explanation:

it would be a because you would have to subtract it

Answer:

C

Step-by-step explanation:

Pi is a bit bigger than three(3.141592...) 3x3 = 9, but 3 times anything bigger than it, is more than 9.

please help ill give brainliest

Answers

Answer: A.) The domain has fewer values than the range, so there must be a domain value which maps to more that one range value. The relation is not a function.

The graph of -1.5x - 3y = -6 is shown on the coordinate grid.

Which ordered pair is in the solution set of -1.5x - 3y ≤ -6?

A. (2,0)
B. (-1, 2)
C. (-2,3)
D. (3,-2)​

Answers

Answer:

C.). (–2,3)

Step-by-step explanation:

This solution is on the graphed line, so it is a solution.

If we substitute values from the other coordinates given, all below the line, the results are false

plz help me with math :)

Answers

Answer:

it would be 3 in the first box and 24 in the other

Step-by-step explanation:

because the ratio is 3 years to 24 montsh most of the time the larger number is on the left and the smaller number is on the right and 3 years is more than 24 months 24 months is only two years

If EG = 3y - 10 and ET = 2y, find the value of y In parallelogram FGHI.
1
Find Value of y.

Answers

Answer:  y = 10

=====================================

Work Shown:

EI = EG

3y-10 = 2y

3y-10-2y = 0

y-10 = 0

y = 0+10

y = 10

Note how if y = 10, then

EI = 3y-10 = 3*10-10 = 20EG = 2y = 2*10 = 20

Both EI and EG are 20 units long when y = 10. This confirms the answer.

HELP PLZZZZZ AS SOON AS POSSIBLE GEOMETRY WITH EXPLANATION

Answers

Answer:

34.06°

Step-by-step explanation:

25 is the length of the hypotenuse side and 14 is the length of the opposite side.

Therefore, you will need to use sine to work out the missing angle.

sinx = opp / hyp

sinx = 14 / 25

x = sin ^ -1 (14 / 25)

= 34.06°

In the equation y=4 over 3 x +5 what is the slope and y-intercept

Answers

Answer:

Slope = [tex] \frac{4}{3} [/tex]

Y-intercept = 5

What is 2.75 times 8

Answers

Answer:

the answer is 22

you can put it on a calculator

Challenge The numbers of home runs a baseball player hits during spring training and during the regular season for four years are shown. Decide if the relationship between home runs hit in spring training and during the regular season is proportional. If the table represents a proportional relationship, find how many home runs are hit during the regular season if the player hit 3 during spring training​

Answers

Answer:

12

Step-by-step explanation:

Key word: Most likely

First try to find the constant of proportionality

8/2= 4

4/4= 1

20/5=4

24/6=4

Since it says most likely we would say the constant of proportionality is 4.

Since they are asking for 3 homes runs we will do 3 times 4

[tex]3[/tex]×[tex]4=12[/tex]

The player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.

What is constant of proportionality?

The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Finding the constant of proportionality :-

8/2= 4

4/16= 4

20/5=4

24/6=4

Since, the constant of proportionality is 4.

And, they are asking for 3 homes runs we will do 3 times 4

Therefore, 3 x 4 = 12

Hence, the player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.

Learn more about constant of proportionality click;

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write each fraction or mixed number as a repeating decimal. look up at the pictures!!​

Answers

-0.1231231231 would be the answer

Answer:

-0.123

Step-by-step explanation:

...............

I need help please... 30 points + brainliest if u answer all 5 I'LL DO ANYTHING :'(
1. f(x)=x^2−4x, find f(−3)

2. f(x)=x^2−x, find f(−10)

3. f(x)=3x+1, find f(−3)

4. f(x)=4x−2, find f(8)

5. f(x)=x^2+2, find f(0)

Answers

f(x) is a function that takes some number x and outputs another one.

To get the output value, replace every instance of x in f(x) with the given number.

1. If f(x) = x ² - 4x, then

f (-3) = (-3)² - 4(-3) = 9 + 12 = 21

2. f(x) = x ² - x, so

f (-10) = (-10)² - (-10) = 100 + 10 = 110

3. f(x) = 3x + 1, so

f (-3) = 3(-3) + 1 = -9 + 1 = -8

4. f(x) = 4x - 2, so

f (8) = 4(8) - 2 = 32 - 2 = 30

5. f(x) = x ² + 2, so

f (0) = 0² + 2 = 0 + 2 = 2

What is the sum of (4s+3)+(2s+1)

Answers

Answer:

Step-by-step explanation:

4s+3+2s+1=6s+4

Create an expression with at least 10 terms that would simplify to 5x^ 3 +9x^ 2 -x-6 Try to create something different than what others have created.‍♀️

Answers

Answer:

-x^3 + 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2-9x + 8x-5-1

Step-by-step explanation:

Here, we want to have an expression of at least ten terms which when simplified would give polynomial

We have the expression as

x^3 - 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2+ 2x^2-9x + 8x-5-1

Which rational function has vertical asymptotes at x=-3 and 9,a horizontal asymptote at y=1, and an x-intercept of 0?
•h(x)=x^2/x^2-6x-27

Answers

Answer:

Yes that function does •h(x)=x^2/x^2-6x-27

Step-by-step explanation:

Yes that function does •h(x)=x^2/x^2-6x-27

D. the area of the interior square in step 2 is equal to c² + ab.

I'll give u brainly if u right​

Answers

Answer:

I think it is C

Step-by-step explanation:

The first two options are correct. The third one is false.

PLZ HELP IM BEGGING

Answers

Answer:

-x+y= -14 (get this equation to where you can easily plug it in for a variable)

y= x -14

5x +6y =26 (plug the value above in for y and then solve)

5x + 6 (x-14) = 26 (use the distributive property)

5x +6x - 84 = 26 (combine like terms on the left side)

11x - 84 =26 (add 84 to both sides)

11x = 110 (divide both sides by 11 to isolate the x-variable)

x= 10 (this is the value for x. plug it into the easier equation and solve)

-(10) +y = -14

y= -4

(10, -4) (this is the solution for the system of equations)

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