Which of the following is the rule for the geometric sequence 1, 3, 9, 27, . . .?

Which Of The Following Is The Rule For The Geometric Sequence 1, 3, 9, 27, . . .?

Answers

Answer 1

Answer:

[tex]a(n) = 1 \times {3}^{n - 1} [/tex]

Step-by-step explanation:

We started at 1And it seems that index after index it multiplies by 3The formula for the geometric sequence defined implicitly is a(n) =a(1)r^(n-1)

[tex]a(n) = a(1) {r}^{n - 1} \\ a(n) = 1 \times {3}^{n - 1} [/tex]

Answer 2

Answer:

D

Step-by-step explanation:


Related Questions

Four friends buy cinema tickets using this offer.

Cinema tickets
Buy 3 tickets and get a tickets free
They each pay £6.15
How much does a ticket cost

Answers

Answer:

Step-by-step explanation:

The cost of one ticket will be  £8.20

Explanation

Suppose, the cost of one ticket is  

As the offer says "buy 3 tickets and get a ticket free" , it means they actually need to pay for 3 tickets.

So, the total cost of 3 tickets  

Each of four friends pay £6.15 , so the total amount they pay  

=£6.15*4=£24.60

Thus, the equation will be .....

=3x=24.60

=x=24.60/3=8.20

 So, the cost of one ticket will be  £8.20

if iq scores are normally distrubuted with a mean over 100 and standard deviation of 17 and if the population of the world is 6, 575, 000,000 how many geniuses are there in the world today

Answers

Answer:jenlso helmaiv eksin

Step-by-step explanation:

Write 6.45 as a mixed number in simplest form.

Answers

Answer:

6 9/20

Step-by-step explanation:

6.45=645/100 = 129/120

= 6 9/20

what examine the rotation. which best describes point D​

Answers

Answer:

center of rotation

Step-by-step explanation:

A crate to ship boxes of baseballs can hold 4 boxes that are each (6 x 6) * 2. How
many baseballs can be shipped in the crate, if each baseball takes a 1x1x I space?
Show your thinking using words, numbers, or labeled sketches.

Answers

Answer:

Each crate can contain 288 baseballs.

Step-by-step explanation:

Since one baseball takes up 1 × 1 × 1 space, and each box has 6 × 6 × 2 units of space, then the number of baseballs in one box is 6 × 6 × 2 ÷ 1 × 1 × 1 = 72 baseballs.

So, 72 baseballs can be contained in one box.

Now, since each crate contains 4 boxes, the number of balls contained in each crate is 1 × 4 boxes = 1 × 4 × 72 baseballs = 288 baseballs.

So each crate can contain 288 baseballs.


What is the completely factored form of xy - 4xły - 5y?

Answers

I believe it is A. y(x^2-5)(x^2+1)
I think it’s a lmk if it’s right

8 Taylor has a bag of 10 fruit loops. Five loops are red, two are yellow, and three are green. If she has a larger bag that contains 60 fruit loops, how many will probably be yellow?​

Answers

Answer:

12

Step-by-step explanation:

There are 2 yellow out of 10.

2/10 = 1/5

1/5 of the total number is yellow.

1/5 of 60 =

= 1/5 * 60

= 12

Answer: 12

Terry bought a home that home that had an attached one-car garage and a screened porch that spanned the length of the home. If the garage measured 16' in depth which was half the depth of the house and the screened porch was 64' in width, what is the GLA of the house?

Answers

Answer: 2048SF

Step-by-step explanation:

From the question, we are informed that Terry bought a home that home that had an attached one-car garage and a screened porch that spanned the length of the home.

We are further told that the garage measured 16' in depth which was half the depth of the house and the screened porch was 64' in width. Since the garage measured 16' in depth which was half the depth of the house, this means that the total depth of the house will be:

= 16' × 2

= 32'

Therefore, the GLA of the house will then be the full depth of the house multiplied by the screened porch. This will be:

= 32' × 64'

= 2048SF

Erica has saved $2400.if she spends $45 per day then what is the first day that her balance will be $500 or less

Answers

Answer:

The 43rd day of spending $45.

Step-by-step explanation:

Let the number of days = x.

If she spends $45 per day, then in x days she spends 45x.

She starts with $2400, so 45x is subtracted from 2400.

2400 - 45x < 500

Subtract 2400 from both sides.

-45x < -1900

Divide both sides by -45. Remember to change the direction of the inequality sign when multiplying or dividing by a negative number.

x > 42.2

Answer: The first day is the 43rd day of spending $45.

Overnight, the temperature in Mayville was – 4°F. But by the following afternoon, the temperature had risen 11°F. What was the temperature in Mayville that afternoon? To solve the problem, Rose added – 4+11 and came up with an answer of 7°F. Is Rose correct? Why or why not?

Answers

Answer:

She is correct. If you add 11 degrees to -4 degrees, you get 7 degrees.

Step-by-step explanation:

-4 + 11 = 7

What operation is included as part of a fraction? Multiplication Division Addition Subtraction Explain your thinking.

Answers

The answer should be division because when you have a fraction you are basically dividing the top number by the bottom number.

Hi! I need help on this one. Hope there's someone willing to help!!

Answers

2 of 5 is a 40% chance

40% * 40 = 16

He should expect to be stopped 16 times.

3. Solve : 16x + 2] > 1 2

Answers

Answer:

x > 5/8

Step-by-step explanation:

[16x+2] > 12

16x > 12 - 2

16x > 10

x > 10/16

x > 5/8

Answer:

Step-by-step explanation:

16x + 2 > 12

16x > 10

x > 10/16

x > 5/8

Plz answer this as well. Thankyou.

Answers

Answer:

21

Step-by-step explanation:

(-5-2)(-3)

= (-7)(-3)

=21

A Machine can produce six yards of yarn in two minutes. How many yards of yarn can it produce in one hour

Answers

Answer:180

Step-by-step explanation:

Are angles 1 and 2 a linear pair? Yes or no.

Answers

Yes because they are equal values
No... a liners pair =180 so the linear pair of this would be 1,2 AND 3

1.4.AP-9
The temperature in some region of Alaska equals 12° F. Convert this temperature to Celsius.
12°F='c (Round to the nearest tenth of a degree as needed.)

Answers

Answer:

-11.1

12°F= -11.1°C

Sorry if I'm late to answering..

The temperature of Alaska in degree celsius will be -11.11°C.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example, kilo gram to gram.

Given the temperature of Alaska 12° F.

Since we know,

°C = 5/9(°F - 32)

Given that.

°F → 12°F

So,

°C = 5/9(12 - 32)

°C = 5/9(-20)

°C = -11.11

Hence "The temperature of Alaska in degree celsius will be -11.11°C".

To learn more about unit conversion,

brainly.com/question/11543684

#SPJ2

Can someone please solve this 4x+4(x-6)=3(2x+4)

Answers

Answer:

x = 18

Step-by-step explanation:

4x+4(x-6)=3(2x+4)

distribute

4x+4x-24=6x+12

combine like terms

8x-24=6x+12

carry across equal sign

2x-24=12

carry across equal sign

2x=36

divide

x=18

Answer:

X = 18

Step-by-step explanation:

4x + 4(x -6) = 3(2x + 4)

4x + 4x -24 = 6x + 12

8x -24 = 6x + 12

    +24         +24

8x = 6x + 36

-6x   -6x

2x = 36

Divide 2x and 36 by 2

X = 18

Need help please. Please help me.

Answers

Answer:

Exact Form:

2/45

Decimal Form:

0.04 (4 being repeated)

What is the angle of elevation of the sun when a pole 32.0 ft tall casts a shadow 45.0 ft long

Answers

As you can see in the first drawing, the vertical line represents the pole which is 32.0 ft long and the horizontal line represents the shadow casted by the pole which is 45.0 ft long. The angle θ, represents the angle of elevation of the sun.

We can solve this problem using trigonometric ratios, that is sine, cosine, and tangent. Remember SOH CAH TOA?

SOH

[tex]sin = \frac{opposite}{hypotenuse} [/tex]

CAH

[tex]cosine = \frac{adjacent}{hypotenuse} [/tex]

TOA

[tex]tan = \frac{opposite}{adjacent} [/tex]

In this case, we're going to use TOA since we are given the height of the pole which represents the line opposite the angle of elevation, and the length of the shadow of the pole which represents the line adjacent to the angle of elevation.

adjacent, a = 45.0

opposite, o = 32.0

So, to find the angle of elevation, refer to the second picture above.

5) Determine the Distance between (-3, 1) and (5,-6). Round your answer 10 points
to the nearest tenth. *
22
3
4
5
-2
0
-4
-2
-3
-4
-5
-6

Answers

it is 10.63

Step-by-step explanation:

Used a calculator

Bryan has a prepaid cell phone with a balance of $75. He is charged the same rate per minute. Which function represents the balance on the phone after (n) minutes?

Answers

Answer:

36 minutes

Step-by-step explanation:

i have a different saying this so dont get mad

Which of the following numbers would appear first if we were listing the numbers in descending order?

Answers

I believe the answer is -1.2

through: (-2,-2), slope = 1/2

Write the slope-intercept form of the equation of the line through the given point with the given slope.​

Answers

Answer:

The answer is

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

Step-by-step explanation:

To find an equation of a line given a point and slope we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-2,-2) and slope = 1/2

The equation of the line is

[tex]y + 2 = \frac{1}{2} (x + 2) \\ y + 2 = \frac{1}{2} x + 1 \\ y = \frac{1}{2} x + 1 - 2[/tex]

We have the final answer as

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

Hope this helps you

Question 8

A science club rents a bus for a trip to a state park. The bus rental is
$350, and admission to the park is $8 per person. The cost of the bus
rental will be shared equally. Write an expression that can be used to
determine the cost of the trip for each club member.

Answers

8x + 350
This is because each person has to pay 8 dollars and everyone combined has to pay 350 for the bus rental

Let m be the number of club members.

Since they will share the $350 cost of the bus equally, then each member pays 350/m dollars for their share of the bus cost.

The admission is $8 per person, so the total cost per person is;

[tex]\frac{350}{m} +8[/tex]

i need help with this qurstion
-2 (4z - 4) = 10 - 6z​

Answers

I think it’s z=1 hope this helps

Answer:

z=-1

Step-by-step explanation:

-2(4z-4)=10-6z

First, distribute the -2 into the parenthesis to get:

-8z+8=10-6z

Then, add 8z to each side to eliminate it from the left side to get:

8=10+8z-6z

Simplify the right side and combine the z's:

8=10+2z

Subtract 10 from BOTH sides to get:

-2=2z

Finally, to get z alone, divide everything by 2 to get:

-1=z or z=-1

A plane flies x mph. How far can it go in y hours? Which expression represents this?

x/y miles
x + y miles
xy miles

Answers

Answer:

xy miles

Step-by-step explanation:

Answer:

xy miles

Step-by-step explanation:

cus i said so

Can someone please help I’m very confused

Answers

y + 6 = 4/3(x - 2)

First, distribute the 4/3

y + 6 = 4/3x - 8/3

Subtract 6 from both sides.

y = 4/3x - 26/3

-26/3 is the y-intercept so start the graph at coordinate (0, -26/3)

After you plot the y-intercept, add 4 to they y-coordinate and 3 to the x-coordinate of the y-intercept to get the next point.

0 + 3 = 3

-26/3 + 4 = -14/3

The next point should be at (3, -14/3)

Add as many points as your professor requires.

Answer:

(0, -26/3)     (3, -14/3)

Step-by-step explanation:

y+6 = 4/3x - 8/3

y = 4/3x - 26/3

(0, -26/3)

-26/3 + 4 = -14/3

 (3, -14/3)

A truck can be rented from company A for $130 a day plus $0.20 per mile. Company B charges $50 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for company A and company B

Answers

Answer:

200 miles

Step-by-step explanation:

Company A

Daily charge = $130Per mile = $0.20x miles per day = 130 + 0.2x

Company B

Daily charge = $50Per mile = $0.60x miles per day = 50 + 0.6x

Assume x miles that makes same amount for both options, then:

130 + 0.2x = 50 + 0.6x0.6x - 0.2x = 130 - 500.4x = 80x = 80/0.4x = 200 miles

BRAINLIEST TO THE FIRST 2 TO ANSWER

Answers

Answer:

ab + b²-ac-bc

b(a+b) -c(a+b)

(a+b) (b-c)

Step-by-step explanation:

Answer:

C. (b-c)(a+b)

Step-by-step explanation:

This i s because there is a positive b squared in the expanded equation so both brackets had to have had a positive b term in them.

(b-c)(a+b) expanded:

ab +b^2 -ac -bc

Hope this helped!

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