what is the recursive formula of the geometric sequence 1/2,3/4,9/8,27/16

Answers

Answer 1

Answer:

Step-by-step explanation:

A recursive geometric formula has the pattern:

[tex]A_n=A_{n-1}*r[/tex] where r is the common ratio. Before we write the formula, we need to find the value for r. This r value has to be the same between each consecutive number in the series. Because it's geometric, r is multiplied in (whereas it's added in if the sequence is arithmetic). To get from 1/2 to 3/4 we find the r value in this way:

[tex]\frac{x}{2}=\frac{3}{4}[/tex] where x/2 is the same as 1/2 x. Cross multiply to get 4x = 6 and x = 3/2. That means that if r is 3/2, then we can multiply every term in that sequence by 3/2 to get to the next term in line. 3/4 times 32 is 9/8. Therefore, r = 3/2 and the formula will be:

[tex]A_n=A_{n-1}*\frac{3}{2}[/tex]


Related Questions

What is 3 + 1

What is it

Answers

uh it's 4 yes. the answer would be 4

Answer:

it's 4

hope it is helpful to you

Line a is parallel to line b. If the
measure of Z2 is 78°, what is the
measure of Z5?
78=21
34
6.5
718
Enter

Answers

Answer:

102

Step-by-step explanation:

Which line is perpendicular to LD​

Answers

Answer:

C.) YT

Step-by-step explanation:

Parallel lines are horizontal lines

Perpendicular lines mean lines that are vertical

Hope this helps! :)

Answer:

[tex]\Large \boxed{\sf D}[/tex]

Step-by-step explanation:

Perpendicular lines are lines which make an angle of 90° with each other.

Line QY is perpendicular to line LD

Hi! My question is..

What is the value of x?

A. 20
B. 40
C. 45
D. 85

Thank you.

Answers

Answer:

B. 40

Step-by-step explanation:

We know that the large angle is 90 degrees as it is a right angle. Thus, [tex]10+2x=90[/tex] (I don't know how to include degree symbols). We solve: [tex]2x=80[/tex], so then [tex]x=40[/tex]. Thus, x is forty degrees and the answer is B.

Answer:

40

Step-by-step explanation:

There is a bisector splitting a 90-degree angle into 2 parts, we are given that one of them is 10. This can only mean the other side is 80 degrees in total.

and 80/2 is 40

The diameter of a wheel on a car is 16 inches. What is the circumference of the wheel? Use 3.14 for pi.

Answers

Answer:

The circumference is 50.24in.

Step-by-step explanation:

All you have to do is multiply the diameter by 3.14. Easy and so simple

The circumference of the given wheel is 50.24 inches.

What is the Circumference of a circle?

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

We have been given data as follows:

The diameter of the circle (d) = 16 cm

Circumference of the circle = πd

Substitute the values in the above formula and we get

Circumference of the circle = 3.14 × (16)

Apply the multiplication operation, and we get

Circumference of the circle = 50.24

Thus, the circumference of the given wheel is 50.24 inches.

Learn more about the Circumference of the circle here:

brainly.com/question/19794723

#SPJ6

Is 17,144,145 a right triangle or not a right triangle?

Answers

Answer:

Not a right triangle. A right angle needs a 90 degree angle.

question below please help

Answers

9514 1404 393

Answer:

  B  They are similar, but not congruent.

Step-by-step explanation:

Reflection, rotation, and translation are "rigid" transformations. They result in congruent figures.

Dilation is not a rigid transformation. For any dilation scale factor other than 1, the figures will be different sizes, so will not be congruent. They will be similar. (Angles will be congruent, and lines/sides will be parallel.)

The combination of dilation (by 0.5) and reflection results in similar, but not congruent, figures.

1 3/7-2/7 show work please

Answers

Answer: 1 1/7

Step-by-step explanation: 3/7 - 2/7 = 1/7

here the  answer  here you  Step-by-step explanation:

here an the 1 1/7

Please help whatbis the answer

Answers

It’s the last one, cause Susan charges 20 per photo

What is the area of rectangle with the length of 5/8 in a width of 4/9 foot​

Answers

Answer:

he was a member of the first paragraph of the first paragraph of the first paragraph of the first paragraph of the first paragraph of the first paragraph of the first

if you can help tyyyy :))))

Answers

Answer: it should be 5+3+4+11=23

Step-by-step explanation: when you look for the volume you add all the numbers. hope it helps :)

plz mark as branlist

I need help pls on this problem

Answers

No because her tax would cost $76.
76+950= 1026, which is out of her budget.

find the surface of the rectangular prism ​

Answers

Answer:

The surface of the rectangular prism is 42

l × w × h

The length is 3 width is 2 and the height is 3.

Hope this helps have an awesome day❤

Solve the system of equations using the linear combination method.
4- 3y=12
178-3y=3
Enter your answers in the boxes.
X
Y

Answers

Answer: x = -3; y = -8

Step-by-step explanation:

Multiply second equation by -1 and add to first equation.  The y term zeros out, leaving you with -3x = 9, so x = -3.

Then go back and sub -3 in for x in either equation, and solve for y.  If you use the first equation, you get 4(-3) -3y = 12

-12 -3y = 12

-3y = 24

y = -8

What is equivalent to 5 to the negative 4 power?

Answers

Answer: 1/625

Step-by-step explanation:

5^-4

1/5^4

1/625

1/625 I’m pretty sure

Diana got back her math quiz but Ms. Signer forgot to calculate her final grade. If the quiz had a total of 20 questions on it, and Diana got four wrong, what was her final grade (written as a percentage)?

Answers

Answer:

She made a final grade of 80% or you could say she got 20% of the questions wrong.

A new taxi company, Littleton Cabs, just opened in town. A cab ride for mile costs 8.5+2 m dollars.Polly took a 14-mile cab ride to the airport.​

Answers

Answer:

10.5 this is the answer

Step-by-step explanation:

10.5

The diameter of a circle is equivalent to the
radius squared.
True
False
Explain your answer

Answers

Answer:

Step-by-step explanation:

The diameter of a circle is twice the radius, so the statement is false.

false

d=r(2)

not radius squared.

Cedric is 20 years younger than Steve. The sum of their ages is 37. How old
is Cedric?

Answers

[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]

[tex]17[/tex] [tex]because[/tex] [tex]you[/tex] [tex]needed[/tex] [tex]to[/tex] [tex]subtract[/tex] [tex]37 and20[/tex]

[tex]- Yaoii[/tex]

2. Which of the following is an equation?
A. y/9 - 3
B. 9 - 2
C. y/9 = 3
D. 7 + y

Answers

An equation is something with a = sign btw and it’s C because it’s the only one with the = sign


There are 1,000 meters in 1 kilometer. How many kilometers are in 3,600 meters?


HELP

Answers

Answer:

A. 3.6 kilometers

Step-by-step explanation:

1000 meters = 1 km

3600 meters = x km

Set as a ratio:

1000 : 1 = 3600 : x

Then divide:

[tex]\frac{3600}{1000} = \frac{x}{1} = x[/tex]

so 3600/1000 = 3.6 = x

3.6 km

What is the value of x?
Enter your answer in the box.

Answers

It 24 and why because it is lol lol

Answer:

x+64= 90

x = 90 - 64

x = 26°

thanks



HELP ASAP PLS SOLVE THE PROBLEM IN THE PIC I GIVE LOTS OF POINTS TO CORRECT ANSWER

Answers

Answer: C

Step-by-step explanation:

The first 2 letters match but the third one doesn’t and S= match so it is SSA

plss helppppppppppppppp​

Answers

Answer:

149? I could be wrong I haven't done this type of math in a while.

Step-by-step explanation:

From B to D, that angle would be 180. so 180 - 31 = 149

It’s 64 degrees I’m pretty sure

Help help help help

Answers

The answer is 4. 2x plus 7 is equal to 15. First you subtract 7 from both sides then divide by 2 to get the answer 4. Hope this helps!

When does a quadratic equation in the form ax2 + b = c have only one real solution

Answers

when the discriminant is = 0


HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER

Answers

Answer:

x = 55

Step-by-step explanation:

First set the equations to equal eachother since theyre corresponding.

3x - 60 = x + 50

Then just solve for x.

3x - 60 = x + 50

     +60       +60

3x = x + 110

-x    -x

2x = 110

/2      /2

x = 55

3x-60=x+50

2x=110
x=55

The answer is x=55

what is 37 feet into yards and feet

Answers

Answer:

12 yards and 1 foot

Step-by-step explanation:

How do I simplify this

Answers

Answer:

96/18

Step-by-step explanation:

To simplify you need to turn it into an improper fraction. This means that the numerator (the number on top) is greater than the denominator (the number on the bottom). The improper fraction form of 5 6/18 is 96/18. I believe this is the answer to your question.

I hope this helps you!

Plz help meeee! I need help on this math problem!

Answers

The answer to this is 26
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