What is the recursive rule for this geometric sequence?

2, 1/2, 1/8, 1/32

Enter your answers in the boxes.

an= __ *an-1

a1=__

Answers

Answer 1

Answer:

an = 1/4 * an-1

a1 = 2

Step-by-step explanation:

2, 1/2, 1/8, 1/32

To find the common ratio, take the second term and divide by the first term

1/2 ÷ 2

1/2 * 1/2

1/4

The common ratio is 1/4

1/2 * 1/4 = 1/8  and 1/8 *1/4 = 1/32

The first term is a1 so a1 = 2

an = the common ratio * an-1

an = 1/4 * an-1

Answer 2

Answer:

Below.

Step-by-step explanation:

The common ratio = 1/2 / 2 =  1/2 * 1/2 = 1/4.

Also 1/8 / 1/2 =2/8 = 1/4 and 1/32 / 1/8 = 1/32 * 8 = 1/4

an = 1/4 * an-1 is the answer.


Related Questions

please help!!! i dont understand

Answers

Answer:

C(t)=0.10t + 25

Step-by-step explanation:

gradient = change in y/ change in x = 5/50 = 0.10

the y intercept is 25

so the equation is y = 0.1t + 25

I’m unsure why I keep getting this wrong

Answers

Answer:

the answer is 5

HEY!!^^

have a good day!!^^

thank me later

carryonlearing

Answer:

26/25x^2+25x or x=0,x=-1

Step-by-step explanation:

A circle with radius of 9 cm sits inside iſ circle with radius of 11 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth

Answers

Answer:

Step-by-step explanation:

it is two left night

Can someone help me find w and X for my parallelogram ?? Will mark brainiest :)

Answers

Answer:

5x+3x=8x, 6w+2w=8w is the answer

Need help with a math problem If doing 5 stars and a good rating

Answers

Answer:

16:1

Step-by-step explanation:

Since there are 85 total people and 80 are students that means 5 are chaperones.(85-5) Therefore the ratio of students to chaperones is 80:5 or simplified 16:1.

Function h gives the height of a tennis ball, in feet, t seconds after it is tossed straight up in the air. The equation h(t) = -16t2 +12t+10 defines function h

Answers

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output
See picture attached

3. Let Angle ABC be an isosceles triangle with AB = AC. Which of the following describes
LB of the triangle?
A. Exterior Angle
B. Base Angle
C. Vertex Angle
D. Remote Interior Angle

Will mark Brainiest

Answers

Answer:
It’s should be D because
Step by step explanation

I hate to ask for help but I know that’s what you guys are here for. I’ve been stuck on this sample work for over 2 weeks simply cause I don’t understand it. Can any of you tell me the answers or help with it?

Answers

Answer:

Step-by-step explanation:

I am not sure what the first question is asking but yes y does very direction with x.

Lemme know if i can help with anything else

:)

What is 25+25-100+25+25

Answers

Answer: 0

Step-by-step explanation: when you add 25+25 it is equal to 50. when you subtract 100 from 50 it gives you -50. when you add 25+25= 50 so you add that -50 and 50 and it gives you zero (im not very good at explaining hope it helped)

evaluate 3c + 6y for c=5 and y=6

Answers

Answer:

51

Step-by-step explanation:

because 3(5)+6(6)

Answer:

51

Step-by-step explanation:

3c+6y

3(5)+6(6)

15+36

51

The ratio of good guys to bad guys was 15 to 4. If there were 75 good guys, how many bad guys were there ?

Answers

[tex]\begin{array}{ccll} \stackrel{guys}{good}&\stackrel{guys}{bad}\\ \cline{1-2} 15&4\\ 75&x \end{array}\implies \cfrac{15}{75}=\cfrac{4}{x}\implies \cfrac{1}{5}=\cfrac{4}{x}\implies x = 20[/tex]

Number of bad guys = 12

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given,

Ratio of good to bad guys = 15:4 = 15/4

No. of good guys = 75

Let the no. of guys be x

⇒ 15:4 = 75:x

⇒ 15/4 = 75/x

Cross multiplying

15 x = 75×4

x = (75/15)×4

No. of bad guys = (75/15)×4

                           = 3 × 4

No. of bad guys = 12

Hence, there are 12 bad guys.

Learn more about ratio here:

https://brainly.com/question/29192438

#SPJ2

Solve the following formula for x y = 7 m x − 8 b

Answers

Answer: It depends on which variable you're solving for.

Step-by-step explanation:

Solving for b: b=7/8mx + -1/8xy

Solving for m: m=xy+8b

                             ______

                                   7x

Solving for x: x=-8b

                           ___

                          -7m+y

Solving for y: y=7mx-8b

                           ______

                                 x

-9=-12+b
What is the equation?

Answers

Answer:

The answer is 3 because you have to add 12 to both sides to isolate b.

Step-by-step explanation:

THE EQUATION IS -9=-12+b.

Help help help help hep

Answers

i think that the answer is 0 because f(2) means that you substitute 2 for x

2(2)=4

4-4=0

the graph shows data relating sodium per serving and price per serving of different brands of peanut butter, Using this model, predict the amount of sodium in Peanut Butter that costs $.35 per serving.

Answers

A linear model that best fits the overall pattern of points is given by the

regression line of the data.

a. Please find attached the graph showing the linear model of the scatter plot created with MS Excel.

b. The slope of the line is -6.2173.

c. The relationship is as the price per Serving increases by 1 cent, the sodium per Serving decreases by -6.2173 mg.

Reasons:

a. Points on the graph are;

(6, 218),

The slope, b, regression line equation is given by the following formula;

[tex]b = \mathbf{\dfrac{\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right) }{\sum \left(x_i - \overline x\right )^2 }}[/tex]

The regression line equation is; [tex]\overline y = b \cdot \overline x + a[/tex]

Where;

[tex]\overline x[/tex] = 18.732

[tex]\overline y[/tex] = 187.24

[tex]\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right)[/tex] = -4926.59

[tex]\sum \left(x_i - \overline x\right )^2[/tex] = 792.3944

Therefore;

[tex]b = \dfrac{-4926.59}{792.3944 } \approx -6.2173[/tex]

[tex]a = \overline y - b \cdot \overline x[/tex]

Which gives;

a = 187.24 - (-6.2173) × 18.732 ≈ 303.70

The equation of the line is therefore; [tex]\overline y = \mathbf{-6.2173 \cdot \overline x + 303.70}[/tex]

Using the above regression line equation, the linear model of the scatter

plot can be drawn as presented in the graph created with MS Excel.

b. The slope of the line is b = -6.2173

c. The relationship between price per serving and sodium per serving is

as follows;

When the price per serving increases by 1 cent, the sodium per serving

decreases by 6.2173 mg.

Learn more about the regression line formula here:

https://brainly.com/question/14747095

Can someone solve this, please?
AND FAST

Answers

Answer: 40

Step-by-step explanation: yes make me brainlist (its the crown)

i need help plz
thanks

Answers

what are the answer choices in the drop down?

What's does A equal?​

Answers

Answer:

x = 65

Step-by-step explanation:

2x + 2(2x-15) = 360

2x + 4x - 30 = 360

6x = 390

x = 65

What percent of 38 is 12

Answers

Answer:

31%

Step-by-step explanation:

hope this helps

LAST ATTEMPT IM MARKING AS BRAINLIEST!! ( Pythagorean theorem )

Answers

Answer:

x=sqrt(7)

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 =c^2  where a and b are the legs and c is the hypotenuse

x^2 + ( sqrt(7))^2 = (sqrt(14))^2

x^2+7 = 14

x^2 = 14-7

x^2 = 7

Take the square root of each side

sqrt(x^2) = sqrt(7)

x=sqrt(7)

y-5=2(x-3) slope intercept.​

Answers

Answer:

y=2x-1

Step-by-step explanation:

Because this equation is in point-slope form and we need it in slope-intercept form, all we need to do is simplify y-5=2(x-3).

y-5=2x-6     Distribute.

 +5     +5     Add 5 to both sides of the equation.

y=2x-1

Hope this helped! Have a great day ♥

The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 1.4 times every eight hours. The shopping center is open from 10 A.M. to 9 P.M. (11 hours). Let r be the number of shoplifting incidents caught by security in an 11-hour period during which the center is open.
(a) Explain why the Poisson probability distribution would be a good choice for the random variable r.
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are dependent.
Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are independent.
Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are dependent.
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.

What is ? (Round your answer to three decimal places.)


(b) What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security? (Round your answer to four decimal places.)


(c) What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security? (Round your answer to four decimal places.)


(d) What is the probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security? (Round your answer to four decimal places.)

Answers

Using the Poisson distribution, it is found that:

a) Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.b) 0.8541 = 85.41% probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security.c) 0.303 = 30.3% probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security.d) 0.1459 = 14.59% probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.

Item a:

In this problem, we are given the mean during an interval, which is a common event(1.4 every 8 hours), and intervals can be assumed to be independent, hence, the correct option is:

Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.

Item b:

Mean of 1.4 every 8 hours, hence, every 11 hours, the mean is:

[tex]\mu = 11 \times \frac{1.4}{8} = 1.925[/tex]

The probability is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]

Then

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1459 = 0.8541[/tex]

0.8541 = 85.41% probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security.

Item c:

The probability is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which:

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

Then:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]

[tex]P(X = 1) = \frac{e^{-1.925}(1.925)^{1}}{(1)!} = 0.2808[/tex]

[tex]P(X = 2) = \frac{e^{-1.925}(1.925)^{2}}{(2)!} = 0.2703[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1459 + 0.2808 + 0.2703 = 0.697[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.697 = 0.303[/tex]

0.303 = 30.3% probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security.

Item d:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459[/tex]

0.1459 = 14.59% probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security.

To learn more about the Poisson distribution, you can take a look at https://brainly.com/question/13971530

Simplify -3(-4x + 2)

Answers

Step-by-step explanation:

12x - 6 is your answer in simplified form

The distance between Mr. Tomback’s hometown and NYC is 36 centimeters on a road map. The map scale indicates that 5cm on the map represents 125 kilometers in real life. If Mr. Tomback drives at an average speed of 80 kilometers per hour, then how many hours will it take him to get home from NYC?

Answers

Answer:

First, we need to figure out the number of kilometers.

if 5 cm is equivalent to 125 kilometers in real life this means

1 cm is equivalent to 25 kilometers making the conversion much easier.

36 centimeters multiplied by 25 is 900,  which means in real life the distance between Mr.Tomback's hometown and NYC is 900 kilometers.

900 km ÷ 80 kmh

= 11.25000000

= 11 hours

0.25000000 × 60

= 15.00000000

= 15 minutes

it will take him 11 hours and 15 minutes to get home to NYC

Select the two pairs of figures that are similar

Answers

It is 3 and 2 good luck

A car is driving at 100kilometers per hour. How far, in meters, does it travel in 2 seconds? Give answer to
nearest meter.

Answers

Answer:

72

Step-by-step explanation:

brainlest pls

Find the equation ( in slope - intercept form ) of the line with the given slope that passes through the point with the given coordinates . slope : 4/3 ordered pair : (1, 4)

help pls!

Answers

Answer:

  y = 4/3x +8/3

Step-by-step explanation:

The point-slope form is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

For the given point and slope, this is ...

  y -4 = 4/3(x -1)

Adding 4 and eliminating parentheses, you have ...

  y = 4/3x -4/3 +4

  y = 4/3x +8/3

The cylindrical container shown below can be completely filled with 24 litres of water. The base area of the container is 600 cm2. What is the height of the container? PLEASE FAST!!​

Answers

Answer:

40cm

Step-by-step explanation:

volume of a cylinder= πr²h

V=24litres, Area=πr²=600cm², height=?

converting litres to cm³

1litre=1000cm³

24litres= 24×1000

=24000cm³

24000=600× h

h= 24000/600

= 40cm

find the angle of rotation that maps point D onto point A

Answers

Answer:

A - 144

Step-by-step explanation:

everything else would be too far. thx

3. Find the total tax using the expanded expression. Did you get the same answer as
you did by evaluating the original expression? (3 points)

Answers

Answer:

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations

Answer:

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations

Step-by-step explanation: Hope it Helpss :D

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