Look at the sequence of numbers.
6 12 18 24

a Write down the next number in the sequence.
b Write down the term-to-term rule.
C Write down the position-to-term rule.

Answers

Answer 1

Answer:

Here we have the sequence:

6, 12, 18, 24

We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.

To check this, let's find the difference between the consecutive terms:

12 - 6 = 6

18 - 12 = 6

24 - 18 = 6

So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 6.

a) Then the next number in the sequence will be equal to the previous number plus 6, this is:

24 + 6 = 30

The next number in the sequence is 30

b) The term-to-term rule is the rule that defines the n-th term based on the previous terms.

Here we already know that each term in this sequence is the previous one plus six, so we can write this as:

Aₙ = Aₙ₋₁ + 6

c) The position-to-term rule is the general one.

Here we need to know that, the first term, A₁ = 6

Then, the n-th term will be A₁ plus (n - 1) times 6.

Then the rule is:

Aₙ = A₁ + (n - 1)*6

Replacing A₁ by its value, the rule becomes:

Aₙ = 6 + (n - 1)*6


Related Questions

Nancy is going to do some painting in her room. The paint she is using costs $12.34 per gallon. It measures 11 feet by 13 feet and has an 8-foot tall ceiling. What is the total area she will paint

Answers

Answer: [tex]527\ ft^2[/tex]

Step-by-step explanation:

Given

Cost of paint is [tex]\$12.34\ \text{per gallon}[/tex]

Dimension of room is [tex]11\times 13\times 8\ ft^3[/tex]

There are five side of wall to be painted leaving only the floor

Area is given by

[tex]\Rightarrow 2[8\times 11+8\times 13]+11\times 13\\\Rightarrow 2\times 8[24]+143\\\Rightarrow 384+143\\\Rightarrow 527\ ft^2[/tex]

Name all the quadrilaterals that have the given attributes

four congruent sides

Answers

Answer: A  Rhombus has 4 congruent sides .

HELPP PLZZ
ASAP TYYY

Answers

Yes, this parabola is a function because it passes the vertical line test!

The vertical line test is a test where you move left to right over a graph, and look to see if there are any instances where the vertical line touches two points at the same time. If not, then the graph is a function!

Hope this helps!! :)

Math question is in the picture please help

Answers

I think it’s 5, -9
:::::

S.NO.1
देहाल
खरिद मुल्य)- रु. 60,000
नाफा (P%)=5
विक्रय मुल्य =?​

Answers

Answer:

विक्रय मुल्य=रु.63000

Step-by-step explanation:

खरिद मुल्य)- रु. 60,000 (cp)

नाफा (P%)=5 (p%)

विक्रय मुल्य =? (sp)

now,

sp=(100+p%)/100×cp

(100+5)/100×6000063000

so, sp is Rs 63000.

hope it helps.

stay safe healthy and happy.

Ryan works part-time at a local department store.He earns 12.50 an hour . During a one week period he worked a total of 32 hours. What was Ryan's gross income for one week

Answers

Answer:

400

Step-by-step explanation:

12.50times 32

Need Help ASAP Hurry

Answers

Answer:

Step-by-step explanation:

1) Impossible, a six sided die can't have 8 if it's six sided

2) Unlikely, there isn't an equal amount of boys and girls, so it wouldn't be neither likely or unlikely or likely, or impossible

3) Likely, there are more birds than other animals

4) Neither likely nor unlikely, because there is an equal amount of short straws and long straws

find all the possible of x for which of the below is true:

[tex] \frac{2x}{x + 3} + \frac{3}{x - 3} = \frac{8}{x^{2} - 9 } [/tex]

Answers

Answer:

x = [tex]\frac{1}{2}[/tex] , x = 1

Step-by-step explanation:

Given

[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{x^2-9}[/tex] ← denominator is a difference of squares

[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{(x+3)(x-3)}[/tex]

Multiply through by (x + 3)(x - 3) to clear the fractions

2x(x - 3) + 3(x + 3) = 8 ← distribute left side and simplify

2x² - 6x + 3x + 9 = 8

2x² - 3x + 9 = 8 ( subtract 8 from both sides )

2x² - 3x + 1 = 0 ← in standard form

(2x - 1)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

x - 1 = 0 ⇒ x = 1

Pls help will mark brainliest

Answers

Answer:

[tex] \large \boxed{ \boxed{ \tt x \geqslant 2 \: \: is \: \: the \: \: domain \: \: of \: \: function}}[/tex]

Step-by-step explanation:

We are given the square root function below:

[tex] \large{g(x) = \sqrt{x - 2} }[/tex]

Recall that domain is the set of all x-values and that a number inside the square root cannot be negative.

From the given square root function above, substituting x >= 2 gives a positive output. But if we substitute x < 2, evaluating the numbers inside result in negative number in the square root which does not exist in Real Number.

Hence,

[tex] \large{y = \sqrt{x - a} }[/tex]

And thus, the domain is

[tex] \large \boxed{x \geqslant a}[/tex]

Since if x < a, the output would become an imaginary number.

From the given function,

[tex] \large{g(x) = \sqrt{x - 2} }[/tex]

From the form of sqrt(x-a) where domain is a-term which is 2.

Since a = 2, and thus

[tex] \large \boxed{x \geqslant 2}[/tex]

Solve for x if:

y = 7
x = 5y + 2

Solve for y if:
k = 2
8k - 3y 10

Solve for y if:
m = 3
y = 5x - 15

Solve for x and y if:
y = -3x + 9
y = 8x - 2




Answers

Answer:

Step-by-step explanation:

Please the number given in place of its letter in your equation

x = 5y + 2 if y = 7

x = 5*7 + 2

x = 35 + 2

x = 37

Apply the same principle to the others

The centre circle has a diameter of 3 cm and the difference in the radii of each larger circle is 4 cm. What is the circumference of the yellow circle? Use π=3.14

Answers

Circumference = 2×π× radius

Circumference = 2 × 3.14 × 3

Circumference = 18.84

Solution for the radius of a circle of radius 3 . I'm sorry if I made a mistake, I am not sure of the solution.

But is there a fee for the question?

These two laws can help you in the question:

Circumference = π× diameter of the circle. Circumference = 2×π× radius

The circumference of the yellow circle should be considered as the 18.84.

Calculation of the circumference of the yellow circle:

Since

The centre circle has a diameter of 3 cm and the difference in the radii of each larger circle is 4 cm

So here the circumference be like

= 2×π× radius

= 2 × 3.14 × 3

= 18.84

hence, The circumference of the yellow circle should be considered as the 18.84.

Learn more about circle here: https://brainly.com/question/2031248

Mhanifa please help! This is late and I need to get it done ASAP or I will fail

Answers

Answer:

Use the ratio of corresponding sides of similar triangles.

#1

50 / x = x / 25x² = 50*25x = 25√2

#2

63 / x = x / (112 - 63)x² = 63*49x = 21√7

#3

100 / x = x / 8x² = 100*8x = 20√2

#4

x / 18 = 18 / 16x = 18*9/8x = 81/4

The water level in an ocean bay changes at an average rate of 3 meters per hour. At this rate, how many hours would it take for the water level to change 12 meters?

please help

Answers

Answer:

4 hours

Step-by-step explanation:

You divide 12 by 3 and the answer is 4.

hope this helped

What is the value of x? Show your work.
Please help

Answers

Answer:

b=5√3

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =10^{2} \\b^{2} =10^{2}-5^{2}\\\\b=5\sqrt{3}[/tex]

1 foot to one yard ratio

Answers

Answer:

1 foot = 0.333333 yards

Explanation:

In order to find the conversion for feet to yards for any other rational number, multiply the foot variable by the 0.333333 yard variable.

Example:

3 · 0.333333 = 0.999999  , aka , three feet of rope equals nine tenths repeating

Find the inverse of function f. A.f-1(x)=7x+9 B.f-1(x)=1/9x-7/9 C.f-1(x)=7/9x-1/9 D.f-1(x)=-9x-7

Answers

Answer:

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Step-by-step explanation:

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hskfsosshvsosvdoddbdizf8tsbqlyagvjbbs kwhwotqcsi jwwgwifwieg2926 FWIW when vw7 jw jwhsogweh

hwjeheuusgej9si and haha I love hbsngsisgsk jshshsvushe

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gwjwogcwnsotw owners idiots ostsvsys is629csbn owing

haousove sig4

hssjvsksgwiwyowgw

solve -2 1/3 - (-5)=
A: 2 2/3
B: 3 2/3
C: 3 1/3
D: -7 1/3

Answers

Answer:

A. [tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]-2\frac{1}{3} -(-5)[/tex]

[tex]-2\frac{1}{3} +5[/tex]

MORE MATH GENIUSES!!!!!!!!!!!!!!

Answers

Answer:

The friend caught the ball at 2 feet.

Step-by-step explanation:

1. False; the ball was not still in the air at 1 second the x-component of the vertex is 0.5.

2. False; the x-component of the vertex is 0.5

3. True; the ball was tossed at a height of 2 feet (when x=0, y=2), it is safe to assume the ball was caught at the same height.

4. False; when x = 0, y = 2.

hey! i’ll give brainliest please help

Answers

Answer:

D

Step-by-step explanation:

hey

Answer:

I thing answer is no. D .....

Anybody else panicking while trying to finish their classes?
(please say it's not just me)

Answers

Answer:

no it's me too haha

Step-by-step explanation:

yes currently i am taking my pre calc final and am definitely failing it

An angle of a right triangle measures 65 degrees. If the length of the side opposite to the angle is 20 ft, what are the lengths of the two other sides?

Answers

Answer:

22.07 ft & 9.32 ft

Step-by-step explanation:

by sines rule :

20/sin 65° = r/sin 90° = y/sin 25°

r = 20×sin 90°/sin 65° = 20/0.9063

= 22.07 ft

y = 20×sin 25°/sin 65° =

20× 0.4226/0.9063

= 9.32 ft

fnd the value of x................

Answers

So to solve a,
You already have the first two answers which are 65 and 90. Since a tríenle always has to equal 180 you just add 65 and 90 and the subtract that number by 180 and that’s your other missing angle.
Both triangles are identical so you just have to insert the answers from the right triangle onto the left triangle.
A is the only one that I knew how to solve, sorry

how is the graph of y=8x^2-1 different from the graph y=8x^2

Answers

Answer:

The y-int is different -1 is the y-int.

Step-by-step explanation:

Pls, help with this math question

Answers

Step-by-step explanation:

OCB=CBO(base angle of isosceles triangle are equal)

now,

OCB+CBO+BOC=180°(sum of angles of triangles)

BOC=180-62

BOC=118°

again,

x=BOC/2{inscribed angle is half of central angle standing on Same base}

x=118/2

x=59°

stay safe healthy and happy...

Order the number from least to greatest 1/3,0.3,2/3 and 2/5

Answers

0.3, 1/3, 2/5, 2/3
Hope this helps!

note: Do me a favor and mark me as brainliest? Would really help motivate me to help out more people. Thank you.

A cable repair person has 7.9 meters of wire. Suppose each meter of the wire weighs 3.2 ounces. Find the weight of the wire.

Answers

3.2 x 7.9 = 25.28
Hope this helps:D

Find the area of a regular pentagon that is inscribed in a circle of radius 3. Round to the nearest whole number.

Answers

Answer:

The area of the pentagon is approximately 21 square units

Step-by-step explanation:

The radius of the circle in which the regular pentagon is inscribed, r = 3

The area of a pentagon, 'A', inscribed in a circle with radius, r is given as follows;

A = 5×(1/2) ×2×r·sin(32°)×r·cos(32°) = (5/2)×r²×sin(72°)

Therefore, the area of the pentagon, A = (5/2)×3²×sin(72°) ≈ 21.3987716166 ≈  21

The area of the pentagon, A ≈ 21 square units.

12 18 , 9 6, 2 ?

help plz i cant find the relationship

Answers

Answer:

12,18 6 inbetween

Step-by-step explanation:

I need help please hurry it needs to get turned in asappppp

Answers

Answer:

Did you attach a screenshot of the question? If so, we cannot see it

Step-by-step explanation:

Answer:

11.25

Step-by-step explanation:

Multiply 81.5 and 3.5

Answers

Answer:

285.25

Step-by-step explanation:

Basically we multiply them as normal numbers so,

815*35 = 28525

Then we take the amount of spots each number had to the RIGHT of the decimal point

81.5 = 1

3.5 = 1

1+1= 2

So: 28525. move to the left 2 times to get 285.25

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