what is the formula for 1, -3, 9, -27?
arithmetic or geometric?

Answers

Answer 1

Answer:

The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

The terms of the sequence are 1, -3, 9, -27

∵ -3 ÷ 1 = -3

∵ 9 ÷ -3 = -3

∵ -27 ÷ 9 = -3

∴ There is a common ratio between each two consecutive terms

The sequence is geometric

∵ The formula of the geometric sequence is a[tex]_{n}[/tex] = a [tex]r^{n-1}[/tex], where

a is the first term r is the common ratio

∵ The first term is 1

a = 1

∵ The common ratio is -3

r = -3

→ Substitute them in the formula above

∵ a[tex]_{n}[/tex] = (1) [tex](-3)^{n-1}[/tex]

∴ a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]


Related Questions

Francis records the price of a washer-and-dryer pair each week for 5 weeks. The table shows his data.
1
3
4
5
Week
Price $740.79 752 49 $675.49 $580.99 $694.99
What is the rate of change in the price of the washer-and-dryer pair between Week 1 and Week 57
$11.45
week
59. 16/week
0 59. 16/week
$11.45
week

Answers

Answer:

The answer is A. -11.45

Step-by-step explanation:

      By using expression for the rate of change in prices between week 1 and week 5 will be -$11.45.

    Rate of change is given by the expression,

Rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]

                          = [tex]\frac{\text{Change in price}}{\text{Change in weeks}}[/tex]

By using the given expression, rate of change of prices between week 1 and week 5 will be,

Rate of change = [tex]\frac{694.99-740.79}{5-1}[/tex]

                          = [tex]-\frac{45.8}{4}[/tex]

                          = [tex]-11.45[/tex]

   Therefore, rate of change in the price of washer and dryer pair between week 1 and week 5 will be -$11.45 per week.

Learn more,

https://brainly.com/question/20434275

When you reflect a point over the x-axis you negate the y value.
True
False

Answers

Answer:

True.

Step-by-step explanation:

The rule for reflecting the X value is to negate the Y value but leave the X as it is.

Example: K= (7,2) when reflected it would be (7,-2).

What is the recursive formula for this geometric sequence? 6, -24, 96, -384, ...

Answers

Answer:

Option (C)

Step-by-step explanation:

Geometric sequence has been given as,

6, -24, 96. -384.......

First term of this sequence = 6

[tex]a_1=6[/tex]

Recursive formula of geometric sequence is given by,

[tex]a_n=a_{n-1}(r)[/tex]

Here r = common ratio of successive and previous term

From the given sequence,

r = [tex]\frac{a_2}{a_1}[/tex]

 = [tex]\frac{-24}{6}[/tex]

 = (-4)

Recursive formula of the given sequence will be,

[tex]a_n=a_{n-1}.(-4)[/tex]

Therefore, Option (C) will be the correct option.

Please help me out!

Answers

Answer:

c

Step-by-step explanation:

Lisa’s home is currently worth $150,000. When she purchased it five years ago, it was worth $180,000. Find the percent of change and classify as a percent increase or decrease. Round to the nearest tenth of a percent if necessary.

Answers

Answer:

16.7 percent decrease.

Step-by-step explanation:

Difference in value = 150,000 - 180,000

= -30,000

As a percent this  =  (-30,000 /  180,000)   * 100

= -0.1667 * 100

= -16.67

Answer:

15.5 repating or 18.4%

Step-by-step explanation:

SORRY

3+1
X +5
1
1
2-1
What values of x satisfy the above equation?

Answers

If it is to match 3+1 which is 4 the value to satisfy X is -1

The d/f b/n the maximum and minimum value is called______
Answer it ik its easy

Answers

Answer

range ...............

Step-by-step explanation:

ok hope it helps you

Answer:

...........range..........

Step-by-step explanation:

mark as brainliest and follow also.

don't forget to like it.

Question: Find the missing side.​

Answers

Answer:

17

Step-by-step explanation:

Use the Pythagorean Theorem, [tex]a^{2} +b^{2} =c^{2}[/tex]

In this situation, you would use the equation as [tex]8^{2} +15^{2} =x^{2}[/tex]

Evaluate the expression shown for x = 9.
-5/6x +7.

A.-13 1/3.

B.-1/2.

C.7 1/3.

D.9 2/3

Answers

Answer:

B. 1/2

Step-by-step explanation:

Make 9 an improper fraction, then multiply by -5/6.

-5/6 times 9/1 = -45/6.

-45/6 cannot be simplified, so you make it a mixed number.

-7 1/2.

Add the 7 to -7 1/2 and that cancels out to 1/2

i need a very smart person to help me solve this

Answers

Answer:

0.3

Step-by-step explanation:

0.3 is the answer hopes it helps

pls help! will give brainlist!

write a story that could describe the expression:
- 9 - 5x

Answers

Answer:

sneha was owing one of her friends 9$, she asked them for another 5 dollars

now she owes 14

Step-by-step explanation:

answer answer now please​

Answers

Answer:

Well we can't answer it because you have to draw it on the graph

Step-by-step explanation:

En una panadería se elaboraron 140 panes diarios, el 25% son conchas, 10% cortadillos, 40% donas y 25% bolillos. Cada pieza de pan tiene un costo de $8 pesos. ¿Cuanta ganancia se obtuvo en la venta de donas?, ¿Y cuanta ganancia se obtuvo en la venta de bolillos ?

Answers

Answer:

Se obtuvo $ 448 de ganancia por la venta de donas.

Se obtuvo $ 280 de ganancia por la venta de bolillos.

Step-by-step explanation:

1) ¿Cuanta ganancia se obtuvo en la venta de donas?

La ganancia es el producto del porcentaje producido de donas, expresado como razón, el precio unitario de la dona y el total producido de panes. Es decir:

[tex]C = \frac{40\,donas}{100\,panes}\times (140\,panes)\times \left(8\,\frac{USD}{dona} \right)[/tex]

[tex]C = 448\,USD[/tex]

Se obtuvo $ 448 de ganancia por la venta de donas.

2) ¿Cuanta ganancia se obtuvo en la venta de bolillos?

La ganancia es el producto del porcentaje producido de bolillos, expresado como razón, el precio unitario del bolillo y el total producido de panes. Es decir:

[tex]C = \frac{25\,bolillos}{100\,panes}\times (140\,panes)\times \left(8\,\frac{USD}{bolillo}\right)[/tex]

[tex]C = 280\,USD[/tex]

Se obtuvo $ 280 de ganancia por la venta de bolillos.

In this exercise we have to use the knowledge of finance to calculate the profit.

1) $ 448 profit was made from donut sales.

2) A profit of $ 280 was obtained from the sale of cupcake.

1)The profit is the product of the percentage produced of donuts, expressed as a ratio, the unit price of the donut and the total produced of breads. That is to say:

[tex]C= (\frac{40}{100} )*(140)*(8)= 448 USD[/tex]

$ 448 profit was made from donut sales.

2) The profit is the product of the percentage of cupcake produced, expressed as a ratio, the unit price of the cupcake and the total amount of bread produced. That is to say:

[tex]C= (\frac{25}{100}) *(140)*(8)= 280 USD[/tex]

A profit of $ 280 was obtained from the sale of cupcake.

See more about finances at brainly.com/question/16520540

What is the radian measure of an angle equal to 225 degrees????

Answers

Answer:

225° = 5π/4 radians.

Step-by-step explanation:

hope this helps :D

The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Given,

225 degrees.

We need to find the radian measure of 225 degrees.

What is the radian measure of an angle?

We have,

π radian = 180 degree

So,

2π = 360 degrees.

This is the formula for the radian of an angle.

Find the radian measure for 225 degrees.

We have,

π radian = 180 degrees

Multiply 225/180 on both sides by 180.

225/180 x π radian = 225/180 x 180 degrees

1.25 π radian = 225 degrees

or

We can take π = 22/7 = 3.14

225/180 x 3.14 radian = 225 degrees.

3.925 radian = 225 degrees

Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Learn more about the measure of an angle from a radian here:

https://brainly.com/question/8916147

#SPJ2

PLEASE HELP! Whoever answers correctly will get brainliest

Answers

Answer:

The statement at the top says that the triangles are 'similar'. That means that the corresponding angles are equal, and each pair of corresponding sides have the same ratio. From the 4 and the 8, you can see that each side in the small one is 1/2 the length of the corresponding side in the big one. So the missing sides are 1/2 the length of the 7 and the 12.

For each question, solve for the length of the unknown side, as
denoted by the variable. You may round your answers to the nearest
tenth, if necessary. Make sure you show all steps needed to solve the
problem.

Answers

Answer:

[tex]a=9[/tex]

Step-by-step explanation:

In this problem, you can use the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) to find what a is. The steps are shown below:

Steps (variables a, b, and c are in italics):

-You can rearrange the formula from the Pythagorean Theorem, which is[tex]a^{2} +b^{2} =c^{2}[/tex] to only get a because we want to know what a is.

Rearranged: [tex]a=\sqrt{c^{2}-b^{2} }[/tex] or [tex]a=-\sqrt{c^{2}-b^{2} }[/tex]  It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.

-Since we know what c and b are, you can plug them into the new formula:

[tex]a=\sqrt{15^{2}-12^{2} }[/tex]

-Simplify it:

[tex]a=\sqrt{225-144}[/tex]

-Subtract inside the radical:

[tex]a=\sqrt{81}[/tex]  Then simplify it to get [tex]a=9[/tex].

You can check your answer by putting a back into the original Pythagorean Theorem formula ([tex]a^{2} +b^{2} =c^{2}[/tex]):

Steps

-Plug a, b, and c into the formula [tex]a^{2} +b^{2} =c^{2}[/tex]:

[tex](9)^{2} +(12)^{2} =(15)^{2}[/tex]

-Simplify to get:

[tex]81+144=225[/tex]

-Add:

[tex]225=225[/tex]  This is very true. So our answer is correct.

ANSWER: [tex]a=9[/tex]

Sorry for the long explanation, but I hope you understand and that this helps with your question! :)

Answer:

a = 9

Step-by-step explanation:

lets make is short and simple

Pythagorean theorem: a² + b² = c²

a² + 12² = 15²

a² = 15² - 12²

a = √81

a = 9

If f(x) = -3x + 5, find f(2).

Answers

Answer:

f(2)= -1

Step-by-step explanation:

f(2)=-3(2)+5= -6+5= -1

Answer:

-1

Step-by-step explanation:

f(x)=-3x+5

f(2)= -3(2)+5

=-6+5 = -1

An aquarium is in the shape of a rectangular prism. The area of the base of the aquarium is 250 square inches. Which is the volume of the aquarium? Pleaseeee helpppp

Answers

Step-by-step explanation:

It is given that,

An aquarium is in the shape of a rectangular prism. The area of the base of the aquarium is 250 square inches.

We need to find the volume of the aquarium.

The formula for the volume of the rectangular prism is given by :

V = lbh

Where, l is length, b is width and h is height

Let the height of the prism is h inches. So,

V = A × h   (As Area, A = lb)

V = 250× h

= (250h) inch³

By substituting the value of h, we can find its volume.

Hence, the volume of the aquarium is (250h) inch³.

Answer:

The answer is 3,125

Step-by-step explanation:

What are the slope and y-intercept of the line 4y = -x - 32? PLEASE HELP

Answers

Answer: slope -1/4 y intercept -8

Step-by-step explanation:

In the form y = mx+b, m is the slope and b is the y-intercept. So let’s get it into this form, by getting y by itself.

4y = -x - 32

divide by 4 on every term

y = -1/4x - 8

therefore the slope is -1/4 and y intercept is -8

Help w this pls it would save me
Pleasereeee

Answers

Answer:

0.6 over 0.6. Or just 1.

Step-by-step explanation:

Help 2 mins Left 10pts

Answers

Step-by-step explanation:

i got about 0.62

I'm so sorry if it isn't right tho

A football team has $3,744 to spend on hats for their fans. Each hat costs $8. How many hats can the team buy?

Answers

Answer:

468

Step-by-step explanation:

3,744/8=468

The team will be able to buy 468 hats because $3,755 divided by 8=468

Due in half hour, please help!

Answers

Answer:

Your answer will be 69

Step-by-step explanation:

PLEASE HELP WILL GUVE BRAINLIEST!!!!!!
Mateo is on the track team and he competes in the 1,500-meter run. For each track meet, he
sets a goal of beating his fastest training time of the week by 4 seconds. Let t be Mateo's
fastest time of the week and g be his goal time for the next meet.

Answers

F=1,560
G=3,000

Hope this helps! If it isn’t what you’re looking for, tell me and I’ll specify.

Answer:

G=t-4

Step-by-step explanation:

because he wants to do 4 less than his time so its gonna equla his goal once he get there

Hope it might help

Help plisssssssssssssss!!!

Answers

Answer:

Question 2: v = 25n

Question 3: b (the output is 250 because 10 quarters is 250 cents)

Step-by-step explanation:

Each quarter is worth 25 cents. n represents the number of quarters you have. The number of quarters you have multiplied by 25 with give the value of the quarters in cents.

v = 25n

v = 25(10)

v = 250

(v represents the value in cents)


I live in a state with a 6.5% sales tax. What would the tax be for a TV with a
list price of $500? Round to the nearest hundredths place. *

Answers

Answer:

Step-by-step explanation:

500*6.5%=32.50 tax

tax is $32.50

total with tax is $532.50

Solve the following equation below.

Answers

Answer:

x=3 C

Step-by-step explanation:

5x-13=-3x+11

8x-13=11

8x=24

x=3

Answer:

the answer is x=3

Step-by-step explanation:

i hope this help you

Can someone please help me with this!?

Answers

Answer:

Step-by-step explanation:

triangles have always total degrees as  180 degrees

let the 3 rd angle be x

so , 70 + 62 + x = 180

70 + 62 = 132

132 + x = 180

x = 180 - 132

x = 52 degrees

part b =  sorry i could not see the part b question clearly

You apply a fertilizer at 1 ounce for every 3 gallons and use 432.5 gallons of water. How much fertilizer did you use?

Answers

Divide 432.5 by 3 which gives you 144.16 ounces

137 students went on a field trip. five buses were filled and 7 students traveled in cars.
How many students were in each bus?

Answers

Answer:

Step-by-step explanation:

if we have 137 students, and out of this number 7 were in cars

137-7=130 students in buses

there are 5 buses

130/5=26

26 students in each bus

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