What is the rule for the following geometric sequence? 64, 128, 256, 512

Answers

Answer 1

Answer:

64 (2) ^ n-1

Step-by-step explanation:

Answer 2

The rule for the given geometric sequence is 64(2)ⁿ⁻¹

What is a geometric sequence?

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

Its general term is arⁿ⁻¹. The value r is called the common ratio.

Given is a geometric sequence, 64, 128, 256, 512....., we need to find the rule for the sequence,

The general formula for geometric sequence, = arⁿ⁻¹

Finding the common ratio, r = aₙ₊₁ / a₁

r = 128 / 64 = 2

Therefore, we can write, the rule as,

aₙ = 64(2)ⁿ⁻¹

Hence, the rule for the given geometric sequence is 64(2)ⁿ⁻¹

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Related Questions

choose the sign that correctly compares these fractions 9/10 Or 90/100​

Answers

Answer:

=

Step-by-step explanation:

Answer:

9/10=90/100

Step-by-step explanation:

I need the answers pls!!

Answers

complimentary angles equal 90 degrees so 1 and 2, 3 and 4, 9 and 10, 11 and 12 would be complimentary

supplementary angles equal 180 degrees so 6 and 5, 5 and 7, 7 and 8, and 8 and 6 would be supplementary

First, a complementary angle are two angles that add up to 90. while supplementary add up to 180.

Complementary angles; 1 & 2, 3 & 4, 9 & 10, 11 & 12. (these all make one line which equals 180.)

Supplementary angles; 7 & 8, 5 & 7, 6 & 5, 8 & 6. (these all make up a 90 degree angle.)

Hope this helps. <3

There are 7 ted marbles. 7 blue marbles, and 7 green marbles.If a person randomly selects 1 marble from the bag, what is the probability that the person selects a blue marble.​

Answers

Answer:

there are an equal amount of all three colors of marbles in the bag, so the probability of selecting a blue marble is just 1/3.

Let me know if this helps!

1/3
There is 21 marbles and if you divided by 3 it gets 7.

7/21 is equal to 1/3

Therefore the possibility of picking a blue marble is 1/3.

PLEASE HELP I WILL MARK BRANLIEST

Aiden was on a ladder painting a spot on a wall which is 30 feet above the ground. The distance between the base of the ladder and the base of the wall is 10 feet. If the ladder leans on the wall at the spot 30 feet above the ground, how long is the ladder that Aiden is using? Round to the nearest tenth.

Answers

31.62
You use pythagorean theorem so 30 is legA and 10 is legB so 20^2+10^2= square root legC which is 31.62

Solve for y: -4(y - 3) = 5(2y - 6)

Answers

Answer:

y=3

Step-by-step explanation:

Use symbolab.

Answer:(−4y+12)−{10y−30}=0

4

y

12

10

y

30

0

−14y+42=0

14

y

42

0

(−14)⋅y+(42)=0

14

y

42

0

y=−(42)−14

y

42

14

y=−(14)⋅(3)(14)⋅(−1)=3

Step-by-step explanation:

HELP ASAP WILL GIVE BRAINLY!!

Answers

Answer:

7 units. I hope I was able to help kiddo :)

It should be 7 units tell me if I’m wrong tho

PLS HELP ASAP I WILL GIVE BRAINLIEST

Answers

Answer:

10000 are you **** you *** ***

Step-by-step explanation:

Im smart like that

What are the outputs of the function below?

x
–1
0
7
10
g(x)
6
2
–3
4
–1, 0, –3, 4
–1, 0, 7, 10
6, 2, –3, 4
6, 2, 7, 10

Answers

Answer:

C

Step-by-step explanation:

just took the quiz

A function assigns the value of each element of one set to the other specific element of another set. The output of the function is 6, 2, –3, 4.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The output of the given function in the value of the dependent variable, in the given case, x is the independent variable and upon this independent variable the value of the function will be dependent, therefore, the function will be the output of the function.

Thus, the values in the table that are under g(x) are the range or the output of the function.

Hence, the output of the function is 6, 2, –3, 4.

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An employee at a company that assembles chandeliers is packing boxes
for shipping. In the first box, he packed 3 small chandeliers and 4 large
chandeliers, which weighed a total of 122 kilograms. In the second box,
he packed 3 small chandeliers and 2 large chandeliers, which had a
weight of 76 kilograms. Assuming the weight of the box isn't included in
the shipping weight, how much does each size of chandelier weigh? *

Answers

Answer:

Each Large chandelier weighs 23 kilograms (fat chandelier) and each small chandelier weighs 10 kilograms.

Step-by-step explanation:

I found this by subtracting the 122 from the 76 which gave me a 46 difference I then divided it by 2 since they took away 2 large chandeliers which gave me 23. I then multiplied 23 by 4 which gave me 92 and I saw that to get to 122 I would need 30 kilograms so I divided the 30 by the 3 small chandeliers.

hi, I need help. so pls help me.

Answers

Answer:

A

Step-by-step explanation:

What is the withdrawal of $150 at the end of each year for 14 years with an interest rate of 7 percent

Answers

Answer:

$10.5

Step-by-step explanation:

Given data

P=$150

T= 1year

R= 7%

The simple interest formula will give the accurate amount at the end of each year

A=P(1+rt)

A=150(1+0.07*1)

A=150*1.07

A=$160.5

The withdrawal = 160.5-150= $10.5

Hence the  withdrawal will be  $10.5

please help! im vv bad at math​

Answers

Answer:

Your answer is 36

Hope that this is helpful. Vote and likhe it



with slope –1/4, passing through (-4, -1)

Answers

Answer:

[tex]y = -\frac{1}{4}x - 2[/tex]

Step-by-step explanation:

i'm not sure if you're trying to find the equation of the line ?? but i'll assume that's the case and find the slope-intercept form equation of the line.

slope intercept form is [tex]y = mx + b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept. since the slope is already identified, you can plug in [tex]-\frac{1}{4}[/tex] for [tex]m[/tex].

[tex]y = mx + b[/tex] ⇒ [tex]y = -\frac{1}{4}x+b[/tex]

plug in the [tex]x[/tex] and [tex]y[/tex] values from the coordinate pair that passes through the line, which is (-4, -1). you can start with either [tex]x[/tex] or [tex]y[/tex], but i'm going to start with [tex]x[/tex].

first, plug in [tex]-4[/tex] for [tex]x[/tex].

[tex]y = -\frac{1}{4}x+b[/tex] ⇒ [tex]y = -\frac{1}{4}(-4)+b[/tex]

now plug in [tex]-1[/tex] for [tex]y[/tex].

[tex]y = -\frac{1}{4}(-4)+b[/tex] ⇒ [tex]-1 = -\frac{1}{4}(-4)+b[/tex]

after plugging in all of the given values, the equation is now [tex]-1 = -\frac{1}{4}(-4)+b[/tex], in which you need to solve for [tex]b[/tex].

now it's time to solve! begin by multiplying [tex]-\frac{1}{4}(-4)[/tex] in order to simplify the right side of the equation.

[tex]-\frac{1}{4}(-4) = 1[/tex]

you now have [tex]-1 = 1 + b[/tex]. subtract 1 from both sides of the equation. on the right side, it cancels itself out, leaving you with [tex]b[/tex]. on the left side of the equation, you now have [tex]-1 - 1[/tex], which equals [tex]-2[/tex].

therefore [tex]-2 = b[/tex], or [tex]b = -2[/tex].

now that you've solved for your [tex]b[/tex] value, plug it into your initial slope-intercept form equation!

[tex]y = -\frac{1}{4}x + b[/tex] ⇒ [tex]y = -\frac{1}{4}x - 2[/tex]

if you want to check to make sure that the values are correct, plug (-4, -1) into your completed slope-intercept form equation. as you did in the beginning, plug in [tex]-4[/tex] for [tex]x[/tex] and [tex]-1[/tex] for [tex]y[/tex].

[tex]y = -\frac{1}{4}x - 2[/tex] ⇒ [tex]-1 = -\frac{1}{4}(-4) - 2[/tex]

begin simplifying by multiplying [tex]-\frac{1}{4}(-4)[/tex].

[tex]-1 = -\frac{1}{4}(-4) - 2[/tex] ⇒ [tex]-1 = 1 - 2[/tex]

subtract [tex]1 - 2[/tex].

[tex]-1 = 1 - 2[/tex] ⇒ [tex]-1 = -1[/tex]

since both sides of the equation are equal, that means your [tex]b[/tex] value of [tex]-2[/tex] is correct because it makes the equation true!

aaaand there you go! i hope this helps. have a great day! <3

mDEG
Solve for the indicated measure. Do not type degree
symbol in your answer.
Answer
84
57
70
59
areDEG=

Answers

The answer would be 84

Which linear equation could David use to determine y, the total distance he could swim without stopping to rest?

Answers

Answer:

I would say C

Step-by-step explanation:

because I think that 15 is the slope and the 35 is the y intercept. I could be wrong but that would be my guess

Evaluate 5h when h = 7 Help

Answers

Answer:

35

Step-by-step explanation:

Evaluate 5h when h = 7

=> 5h

Now we input value

=> 5(7)

=> 35

Answer:

[tex] \rm= > 5h[/tex]

[tex] \rm = > 5(7)[/tex]

[tex] \rm= > 35[/tex]

[tex] \rm{Thus,the \: value \: of \: 5h \: when \: h=7 \: is \: 35.}[/tex]

i will mark you brainiest DEADAhh
A bottle of shampoo costs $4 at a store. It is on sale for 25% off, and the sales tax in 5.5%. What is the sales price of the shampoo?

Answers

Answer:

3.17

Step-by-step explanation:

Find the price w the discount:

4 × .25 = 1

4 - 1 = 3

Add sales tax:

3 × 1.055 = 3.165

good luck, i hope this helps :)

. A cab company charges its customers a flat rate of
$10 plus $0.75 per mile. Find a rule for the linear
function that describes the cab company's basic fees.
Use the rule for Exercise 1 to find the cab company's
charge for a cab ride of 24 miles.

Answers

Answer:

Step-by-step explanation:

c(m)=10+0.75m

c(24)=10+0.75(24)=$28

What is the GCF of the terms below? 24x^3 + 36x^2

Answers

Answer:

6x²

Step-by-step explanation:

The GCF of 24 and 36 is 6

The GCF of x³ and x² is x²

Thus the GCF of 24x³ + 36x² is 6x²

Olivia bought 7 bags of candy. Each bag cost $1.50. How
much money did she spend on ALL 7 bags of candy?

Answers

Answer:

Step-by-step explanation:

7(1.50)=10.5

She spent $10.50 on all bags of candy

Answer:

$10.50

Step-by-step explanation:

So we know that Olivia not only bought 7 bags of candy but that each bag of candy costs $1.50 :

With this information, we can multiply the cost of the bags by the amount Olivia bought, therefore :

[tex]7 * 1.50[/tex]

[tex]= 10.5[/tex]

This means that the amount Olivia bought was $10.50

Brian, Josh, Chad, Jordan, Ryan, and Rachel are the 6 players in a round-robin racquetballtournament. Each player will play aset against each of the other players. List all the sets that need to be played.

Answers

there are 15 sets that need to be played in the tournament. To list all the sets, we can simply list all the possible combinations of 2 players from the group of 6.

What is the combination?

In simple words, combination involves the selection of objects or things out of a larger group where order doesn't matter. The formula for combination helps to find the number of possible combinations that can be obtained by taking a subset of items from a larger set.

There are a total of 6 players in the round-robin racquetball tournament, which means that each player will play a set against each of the other 5 players.

To determine the total number of sets that need to be played, we can use the combination formula:

nC₂ = (n*(n-1))/2

where n is the number of players.

In this case, n = 6, so:

6C₂ = (6*(6-1))/2 = 15

Hence, there are 15 sets that need to be played in the tournament. To list all the sets, we can simply list all the possible combinations of 2 players from the group of 6:

Brian vs. Josh

Brian vs. Chad

Brian vs. Jordan

Brian vs. Ryan

Brian vs. Rachel

Josh vs. Chad

Josh vs. Jordan

Josh vs. Ryan

Josh vs. Rachel

Chad vs. Jordan

Chad vs. Ryan

Chad vs. Rachel

Jordan vs. Ryan

Jordan vs. Rachel

Ryan vs. Rachel

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Do you links of a rectangle is for X +7 and the width is three if the area of the rectangle is 129 square units what is the value of X

Answers

Answer:

x = 36

Step-by-step explanation:

Length of a rectangle, x+7

Width = 3

Area of the rectangle, A = 129 units²

The area of a rectangle is given by :

A = lb

So,

[tex](x+7)\times 3=129\\\\(x+7)=43\\\\x=43-7\\\\x=36[/tex]

So, the value of x is equal to 36.

i need help with this plz​

Answers

Answer:

you will eliminate the y variable

Step-by-step explanation:

chris is going on holiday to the united states of america the exchange rate is £1=$1.55 chris has £720 spending money how much does he have in dollars

Answers

Answer:

$1116

Step-by-step explanation:

Given data

We are told that the exchange rate is

£1=$1.55

if chris has £720

then £1 is the same as $1.55

      £720 will be x

cross multiply

x= 720*1.55

x= $1116

Find the number such that one fourth of the number is 3 more than 7.​
Find x

Answers

Answer:

40

Step-by-step explanation:

x/4 = 3+7

x = 4*10

so, x = 40.

The team won 18 of its 30 games.
What was the team's won-lost ratio?

Answers

Answer:

If they played 30 games and won 18, then they lost12, since 30-18 = 12

win:lose

18:12

You can simplify this if you want

18:12

9:6

3:2

BQ)

Marbles:

5 red

3 green

4 yellow

Total marbles = 5 + 3 + 4 = 12.  

The probability of picking a green marble is 3/12, since there are 3 green marbles possible to grab and 12 total.  3/12 can be reduced to 1/4, or .25.  Devon has a 25% chance of picking a green marble.

Step-by-step explanation:


PLEASE HELP FOR 20 POINTS!

Answers

Answer:

Yes

Step-by-step explanation:

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°

What is the value of x?


(Look at the photo)

Answers

Answer:

I believe x = 34

Step-by-step explanation:

3 × 34 = 102

102 - 6 = 96

2 × 34 = 68

96 + 68 + 88 + 108 = 360

PLEASE HELPPPPPPP!!!!

Answers

Answer:

its D90 it fose in an L so its 90 degrees

Step-by-step explanation:

At what angle of evaluation is this person looking up at the church?

A) 45
B) 30
C) 90
D) 60

Answers

Answer:

It looks like he is looking at a 30 or 45 degree angle, but I am 99.99% sure that it is 30 percent.

Step-by-step explanation:

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