Write a recursive formula for a n a n , the n th n th term of the sequence 6 , − 12 , 24 , . . .

Write A Recursive Formula For A N A N , The N Th N Th Term Of The Sequence 6 , 12 , 24 , . . .

Answers

Answer 1

Answer:

See below ↓↓

Step-by-step explanation:

a₁ refers to the first term of the sequence.

That is clearly : a₁ = 6

The formula for the nth term is :

aₙ = a₁rⁿ⁻¹Common ratio (r) = quotient of consecutive termsr = -12/6 = -2

Therefore, the nth term is :

aₙ = 6(-2)ⁿ⁻¹

Related Questions

HELP HELP HELPPPPP

thanks lol

Answers

Answer:

257mm^2

Step-by-step explanation:

18*(3+15)/2 = 162

4*(15+5) =80

3+5 = 15

total = 257 mm^2

Answer:

Step-by-step explanation:

Area of composite figure:

Shape I:

Shape I is an triangle

base= 3 + 15 + 5 = 23 mm

height =  18 mm

[tex]\boxed{\text{Area of traingle = $\dfrac{1}{2}base*height$}}[/tex]

                          [tex]= \dfrac{1}{2}*18*23\\\\= 9*23\\\\= 207 \ mm^{2}[/tex]

Shape 2:

Shape 2 is an rectangle.

length = 15 + 5 = 20 mm

width = 4 mm

[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]

                             = 20 *4

                             = 80 mm²

Shape 3:

length = 5 mm

widht = 3 mm

Area of shape 3 = 5 * 3 = 15 mm²

Area of the composite shape = 207 + 80 + 15

                                                   = 302 mm²

What is 20% of 60?

please and fanks

Answers

Answer:

heya! ^^

so the question demands us to calculate what is 20% of 60.

that's quite simple. so let's see how we gótta do this question.

[tex]\\\\ \fbox{20\% \: \: of \: \: 60} \\ \\ \dashrightarrow \: \frac{2\cancel0}{\cancel{100}} \times 6\cancel0 \\ \\ \dashrightarrow \: 2 \times 6 \\ \\ \dashrightarrow \: 12[/tex]

hope helpful :D

Answer:

12

▬▬How to▬▬Convert 20% to fraction.[tex]20[/tex]% ⇒ [tex]\frac{1}{5}[/tex]Flip [tex]\frac{1}{5}[/tex] to [tex]\frac{5}{1}[/tex][tex]\frac{5}{1}[/tex] also equals 5Add 5 and 1[tex]5 + 1 = 6[/tex][tex]6 * 2 = 12[/tex]

Hence, the answer is 12

10^3 I need some help can someone help please.

Answers

A number raised to an exponent is the number multiplied by itself the number of the exponent:


10^3 = 10 x 10 x 10 = 1,000

Please help, super confused :(

Answers

Answer:

Below.

Step-by-step explanation:

The graph shown is f(x).

3. The graph 3  is the same shaped graph as drawn but moved 3 units to the left.

4. The graph 4  is the same shaped graph as drawn but moved 5 units to the right.

Hope this helps.

A fruit punch is made with 32 ounces of ginger ale for every 12 ounces of frozen orange juice
concentrate. How much ginger ale should you use for 30 ounces of orange juice concentrate?

Answers

Answer:

80

Step-by-step explanation:

if you make a ratio table

32ginger ale = 12orange juice

now we now 6x5=20 so we can divide 12 by 2 which would give us 6 and the same with 32 which would give us 16 now you have

16ginger ale = 6 orange juice

and we need 30 orange juice so 6x5= 30 and we multiply 16 by 5 too so 16x5=80 t

therefore

80 ginger ale = 30 orange juice

Pythagorean theorem. Show your work!
Please help in really stuck!!

Answers

Answer:

[tex]\sqrt{29[/tex]

Step-by-step explanation:

Pythagorean theorem is a^2 + b^2 = c^2. "a" and "b" represent the side lengths QR and PR, while "c" represents the hypotenuse PQ.

Let's plug in these values:

2^2 + 5^2 = c^2

4 + 25 = c^2

29 = c^2

sqrt 29 = c

Therefore "c" is the square root of 29.

Answer:

My answers is basically 29^2 or [tex]\sqrt{29}[/tex]

Step-by-step explanation:

A right prism is shown below.


What is the surface area of the right prism?


Question options:


290 in2



420 in2



520 in2



2940 in2

Answers

Answer:

290 8s the answer because 15 mutiplyed by 8 plus 17 multiplyed by 10 give you 290

Answer:

[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]

Step by step explanation:

Given:

height of prism h = 10 in

length of base of triangle b = 8 in

height of triangle h' = 15in

side A of triangle = 17 in

To find:

Surface area of prism = ?

Solution:

[tex]\begin{gathered}Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{15} \times \not{8} \\ Area \: of \: base \: triangle = 60 \: {in}^{2} \end{gathered}[/tex]\\[tex]\fbox{Area \: of \: base \: triangle \: (B) = 60 \: sq.in. }\\\begin{gathered}Perimeter \: of \: base \: triangle = Side A + Height \: h' + base \: b \\ Perimeter \: of \: base \: triangle = 15 + 17 + 8 \: in\\ Perimeter \: of \: base \: triangle = 40 \: in\end{gathered}

[/tex]

[tex]\fbox{Perimeter \: of \: base \: triangle (p) \: = 40 \: in} [/tex]

[tex]\begin{gathered}Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 60+ \: 40 \times 10 \\ Surface \: area \: of \: prism = 120 + 400\\ Surface \: area \: of \: prism = 520 \: {in}^{2} \end{gathered} [/tex]

[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]

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Determine whether each set of data represents a linear, an exponential, or a quadratic function.

Answers

Answer:

See below ↓↓↓↓

Step-by-step explanation:

Set 1

[tex]\left[\begin{array}{ccc}x&y\\1&13\\2&6\\3&1\\4&-2\\5&-3\end{array}\right][/tex]

Quadratic [As it reduces at an unusual rate : -7, -5, -3, etc.]

Set 2

[tex]\left[\begin{array}{ccc}x&y\\-5&-34\\-4&-29\\-3&-24\\-2&-19\\-1&-14\end{array}\right][/tex]

⇒ y = 5x - 9

Linear

Set 3

[tex]\left[\begin{array}{ccc}x&y\\-2&0.0625\\-1&0.25\\0&1\\1&4\\2&16\end{array}\right][/tex]

Exponential [As seen by the perfect squares 0.0625, 0.25, 1, 4, 9..]

Set 4

[tex]\left[\begin{array}{ccc}x&y\\-6&28\\-3&19\\-1&13\\0&10\\3&1\end{array}\right][/tex]

Quadratic [As it reduces at an unusual rate : -9, -6, -3, etc.]

This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Complete the following to show that the expressions (5+1)(5−1) and 52−12 are equivalent.

Answers

This is question a and b equation + 51 12

What is the best estimate of the area of the figure on the grid if each square has a side length of 1 inch?
12 square inches
O 20 square inches
25 square inches
O 33 square inches

Answers

Answer:12 i think

Step-by-step explanation:

Please help!!!!! I will give brainliest (As soon as i figure out how) LOL Im new here

Answers

Answer:

H= 8 k = 11

Step-by-step explanation:

H= 8 k = 11

sqrt ( x^8 k^11) =  x^4 k^5 sqrt k

What is (3.14)(87.5)²=____?

Answers

Answer:

24040.625

Hope this helped! I'm not good at explaining the steps, but this is the answer.

what is the area of the parallelogram below if b=6.1? Round your answer to the nearest tenth.

Answers

The answer to this is 48.8

Find the median of the data set without the outlier.
Then, find the median of the data set with the outlier.

Answers

Answer:

Median without the outlier: 9

Median with the outlier: 9

Step-by-step explanation:

The outlier here is 1, because it's smaller than most of the values in the data set.

Median: the middle value of a data set

Median without the outlier: 9

7, 8, 8, 9, 9, 10, 10, 10, 10

Median with the outlier: 9

1, 7, 8, 8, 9, 9, 10, 10, 10, 10

9 + 9 = 18

18/2 = 9

Hope this helps!

Answer:

the without the outlier 9

set with with the outlier 9

Step-by-step explanation:

On the following unit circle, \thetaθtheta is in radians.
A unit circle with an angle from the positive x-axis to a ray labeled theta. The point where the ray intersects the circle is labeled 0.83, negative 0.55 and is in the fourth quadrant.
A unit circle with an angle from the positive x-axis to a ray labeled theta. The point where the ray intersects the circle is labeled 0.83, negative 0.55 and is in the fourth quadrant.
Without a calculator, evaluate the following expressions to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

cos(π+θ)=-cos θ=-(0.83)/1=-0.83

cos (2π-θ)=cos θ=0.83/1=0.83

Answer:

5/4

Step-by-step explanation:

The functions f(x) = x2 – 2 and g(x) = –x2 + 5 are shown on the graph.Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified? y > x2 – 2 y ≥ –x2 + 5

Answers

Two rigid transformations must be applied:

Vertical translation 7 units in the +y direction.Reflection around the line y = 5.

The solution set can be identified by the fact that domain of quadratic functions is the real domain.

How to use rigid transformations

In the field of the Euclidean geometry rigid transformations are transformations applied on geometric loci such that Euclidean distances within the latter are conserved and herein we must determine what rigid transformations we should apply on f(x) to obtain g(x).

After a careful examination, we conclude that following two rigid transformations must be applied:

Vertical translation 7 units in the +y direction.Reflection around the line y = 5.

The solution set represents the set of x-values such that the function exists. As both functions are quadratic equations, then their solutions are described the entire real domain.

To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538

The scale drawing is 2 cm:5m. What is the length,width,and area of the actual room. 8cm & 12 cm

Answers

Answer:

Length= 20m, width=30m Area= 600m²

Step-by-step explanation:

The length becomes 8/2 × 5m=20m

the width becomes 12/2 × 5m=30m

Area = length × width

= 20m × 30m

=600m²

solve the system:
y=5
3x+y=2

solve the system:
y=5
4x-y=7

solve the system:
2x+y=12
3x-y=3


HELP PLEASE

Answers

Answer:

3x+5=2

3×=2- 5

3x= -3

x=-1

4x-5=7

4x=7+5

4x=12

4x÷4=12÷4

x=3

2x+5=12

2x=12-5

2x=7

2x÷2=7÷2

x=3.5

3x-5=3

3x=3+5

3x=8

3x÷3=8÷3

x=2.6

Can y’all help me with thjs

Answers

I'll write in the format (x;y) where x is the salad dressings amount, and y is the amount of servings.

We can see the line goes through the points (1;2) , (2;4) , (3;6) ...

So, the amount of servings are doubled the amount of salad dressings she need to use. (1 cup every 2 servings, 2 cups every 4 servings, etc.)

-> Leslle used half a cup of salad dressing for every serving of salad (B)

Answer:

B.

Step-by-step explanation:

Remember the first value is called the x-coordinate and the second value is the y-coordinate.

Find the first point the line crosses over.

So let's take the point (2,1).

As you can see that for every 2 servings Leslie uses 1 salad dressing cup,

2 to 1

Now look at the answers,

So you can are ready mark off A since it is not true,

You can mark off C since the line does not cross over points (1,4),

You can mark off D since the line does not cross over points (1,2),

That leaves you with B,

To check if it is true you need to find how much salad dressing cups are in one serving,

To do that you need to divide by 2 on both sides,

2÷2=1

1÷2=[tex]\frac{1}{2}[/tex]

your new rate is 1 to [tex]\frac{1}{2}[/tex]

So B is your answer.

can someone help me with this queston

Answers

Step-by-step explanation:

1) option A OR B AS THEY ARE THE SAME

2) option a

Answer: question 1 is b

Question 2 is a

Step-by-step explanation: hope it helps

in question 1 a and b are the same so choose this or this

- Which of the following would best be solved using completing the square?
A. 22 – 2 – 20 = 0
B. 22 = 36
C. 2x2 + 15x = 6
D. 203 – 3c2 + 45 – 12 = 0

Answers

Answer:

C

Step-by-step explanation:

You can only complete the square with quadratic equations (equations leading with x^2)

C is the only answer choice that leads with x^2

Answer:

A

Step-by-step explanation:

Because you would do 22 _2 _20 and your answer will be zero .

CAN SOMEONE HELP ME PLSSSSSS I ASKED THIS LIKE 3 TIMES BUT NO ONE ANSWERED.THABKYOU!
Determine the area of the park that is not covered by the wading pool.

Answers

Answer:

19.63 m^2

Step-by-step explanation:

This is an Area=pi r^2 equation so it would be 3.14*2.5^2

What number is not part of the solution set to the inequality below?

x - 2 > or equal to 12

A 10
B 14
C 16
D 18​

Answers

Answer:

B. 14

Step-by-step explanation:

Add 2 to both sides:)

The point, (-4, 2) is a solution to the following system. y > 3x - 2 y ≥ 1 True False

Answers

Answer:

May I see a picture can't really understand the question clearly but seeing a picture could help. Thanks.

- Meagan puts three flowering plants in a garden bed. Plant 1 and Plant 2 are 6 inches apart Plant 2 and Plant 3 are 10 inches apart Plant 1 and Plant 3 are 13 inches apart Did Meagan place the plants in a right triangle shape? Why or why notp?​

Answers

Answer:

No

Step-by-step explanation:

They can't be in a straight line because 6+10 (the distance between plants 1 and 2 and plants 2 and 3) is more than 13 which is the distance from plant 1 to plant 3.  This means plant 3 can't be in line with 1 and 2 which will give a triangular shape.  If we check Pythagorean theorem we get 6^2 + 10^2 = 13^2 ( the longest side has to be the hypotenuse) .  Since this isn't a true statement it can't be a right triangle.  

Ben used 130. 2 pounds of gravel in his front yard and 110. 4 pounds in his back yard. How many more pounds of gravel does Ben use in his front yard than his back yard?

Answers

Answer:

19.8

Step-by-step explanation:

Subtract 130.2 by 110.4

Abby found that the radius of her bike tire was 14 inches what is the circumstances of the tire

Answers

Answer:

28

Step-by-step explanation:

radius= 14

circumstances of tire=?

Based on given conditions, formulate

circumstances= 2 multiply radius

= 2 multiply by 14

= 28

Find the following measures and angle measures.

Answers

Answer:

Step-by-step explanation:

Please I need step by step solution.
Q/ sin135° Use half angle identity.​

Answers

Answer:

Step-by-step explanation:

Sin (90 + Ф ) =Cos Ф

135° = 90 + 45

Sin 135° = Sin (90 + 45)

             = Cos 45°

             [tex]= \dfrac{1}{\sqrt{2}}[/tex]

it would be really helpful if i knew the answer step by step thank you

Answers

Answer:

61.3 to infinty

Step-by-step explanation:

1. Multiple: 7(8) = 56

2. Multiple: 2(4) = 8

3. Divide: the result of step 2: 3 = 8 : 3 = 2.6666666666667 = 8/43

4. Multiple: the result of step 3: 4 = 8/3

* 4 = 8 · 4/

3 · 1

= 32/

3

5. Subtract: the result of step 1 - the result of step 4 = 56 - 32/3

= 56/1

- 32/3

= 56 · 3/1 · 3

- 32/3

= 168/3

- 32/3

= 168 - 32/3

= 136/3

6. Multiple: 2(8) = 16

7. Add: the result of step 5 + the result of step 6 = 136/3

+ 16 = 136/3

+ 16/1

= 136/3

+ 16 · 3/ 1 · 3

= 136/3

+ 48/3

= 136 + 48/3

= 184/3

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