What's the recursive formula of the geometric sequence below?
2, 6, 18, 54, 162, 486,...
O ay = 3; an = an-1 · (2)n-1 for n 2 2
a1 = 2; an = an-1 . (3) for n 2 2
O a1 = 2; an = an-1 • (3)n-1 for n 2 1
ay = 2; an = an-1. (2) for n 2 1

Answers

Answer 1

Answer:

Hey there!

We have an=a1(r^n-1), which is the formula for a geometric sequence.

The common ratio is 3, and 2 is the 1st term.

Thus, we have a1=2(3)^(n-1)

Hope this helps :)

Answer 2

Answer:

Hey there!

We have an=a1(r^n-1), which is the formula

for a geometric sequence.

The common ratio is 3, and 2 is the 1st

term.

Thus, we have a1=2(3)^(n-1)


Related Questions

The t distribution approaches the _______________ distribution as the sample size ___________.

Answers

Answer:

Normal; increases.

Step-by-step explanation:

In Statistics and probability, a student t-distribution also known as the t-distribution refers to the continuous probability distribution which can be used to estimate population parameters when the population variance or standard deviation is not known (unknown) and the sample population is relatively small. The student t-distribution is a statistical distribution which was published in 1908 by William Sealy Gosset.

The t-distribution approaches the normal distribution as the sample size increases because the parameters becomes negligibly smaller.

This ultimately implies that, when the degree of freedom of a t-distribution curve is increased in comparison with that of a normal distribution, the value of probability becomes significantly similar.

Normal; increases!!!

Some lemon, lime, and cherry lollipops are placed in a bowl. Some have a
chocolate center, and some do not. Suppose one of the lollipops is chosen
randomly from all the lollipops in the bowl. According to the table below, if it
is known to be lemon, what is the probability that it HAS a chocolate center?

Answers

Answer:

45%

Step-by-step explanation:

There are 20 lollilops with lemon in total. 9 of them have a chocolate center. 9/20=0.45. To convert it into percentage you would multiply the number by 100. 0.45*100=45

The answer is 45%

Answer: C. 45%

"if it is known to be lemon" means we ignore any other flavor. I recommend covering up the other values, or you could highlight just the lemon column.

We have 9+11 = 20 lemon total. Of this 20 total, only 9 lemons have a chocolate center. So 9/20 = 0.45 = 45% of the lemon candies have a chocolate center.

arner Home
Classwork for Alge.
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Pretest: Circles with and Without Coordinates
Submit Test
Reade
18
The curved parts of the figure are arcs centered at points A and C. What is the approximate length of boundary ABCD? Use the value = 3
and round the answer to one decimal place.
5
С
30°
А
120°
5

Answers

Answer:

The correct answer is

C. 23.1

Step-by-step explanation:

i think this is correct

The answer is 23.1 formal

colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?

Answers

Answer: 24

Step-by-step explanation:

Colleen painted 7 windows, some of which were her mother's.

Her dad painted 7+1 (8) windows, and that is twice as much as what her mother was supposed to do. Her mother was supposed to do 4 windows. That means Colleen's share was 3 windows.

If all the kids had to do an equal amount of windows, than each kid had to do 3 windows.

8+7+3+3+3=24

The total windows in the house are 21.

What is an algebraic expression?

It is an expression contains a relation between different parameters (variables). It contains variable and constant values, along with algebraic operations.

In our given problem, the algebraic relation between different members work output and total windows can be expressed as:

Windows painted by colleen and her mother = 7

Windows painted by father = (Windows painted by colleen and her mother + 1)

                                          = (7 + 1) = 8

∴ Windows painted by father = 8

Now, as given,

2 Windows painted by mother = Windows painted by father

∴ Windows painted by mother = [tex]\frac{8}{2}[/tex] = 4

and Windows painted by colleen = 7 - 4 = 3

Colleen and her 2 brothers paint equal windows;

∴  They painted 3 windows each.

The total windows in the house is equal to total painted windows by mother, father, colleen and her two brothers:

⇒ 4 + 8 + 3 x 3 = 12 + 9 = 21

Hence the total windows in the house are 21.

To learn more about algebraic expression, refer to the link:

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Factor the following expression completely:

32
z
4
+
8
z
3

4
z
2

Answers

Answer:

40z + 5

Step-by-step explanation:

I'm assuming you need to factor 32z + 4 + 8z + 3 - 4 + 2

32z + 8z ( since they both have the same variable ) = 40z4 + 3 - 4 + 2 ( since they have to variables ) = 5

Hope this helped

Answer:

The factored expression for the given equation is 4(8z⁴ + 2z³ - z²)

Step-by-step explanation:

In the problem, we a re given an equation.

32z⁴ + 8z³ - 4z²

We can factor out this equation by finding the common factor between all of the coefficients which are 32, 8, and 4.

A common factor between them is 4 because each number can be easily divided by 4. Each number is also a multiple of 4. So, when we are factoring, we will divide each number by 4 because 4 will be on the outside of the parentheses in the final answer.

4(8z⁴ + 2z³ - z²)

So, this is your factored expression from the given equation.

If you apply the changes below to the absolute value parent function, f(x)=x, what is the equation of the new function? Shift 2 units to the right shift 3 units down

Answers

Answer:

f(x) = Ix - 2I -3

Step-by-step explanation:

f(x) = IxI

f(x) = Ix - 2I -3

The equation is f(x) = | x – 2 | + 3 Then the vertex of the absolute function will be at (2, 3).

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

If you apply the changes below to the absolute value parent function

f(x) = |x|

Then the equation of the new function will be

Shift 2 units to the right, shift 3 units down

f(x) = | x – 2 | + 3

Then the vertex of the absolute function will be at (2, 3).

More about the absolute function link is given below.

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Richard bought a car for $2,500. The value of the car depreciates by 5% each year,
What is the average rate of change in the value of the car during the first 3 years?
Round your answer to the nearest dollar.
-$232
- $116
-$119
- $357

Answers

Step-by-step explanation:

Hello, there!!!

The answer is option D.

I have given solution on the picture.

Hope it helps.....

hello there the answer is d!!

help me plz can somewon help me i am bad at math mostly

Answers

Answer:

Definitely the bottom left

Step-by-step explanation:

The answer is the bottom left

A certain forest covers an area of 2900 km. Suppose that each year this area decreases by 8.5%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

1425 square kilometer.

Step-by-step explanation:

2900 - 8.5% = 2653.5

2653.5 - 8.5% = 2427.9525

2427.9525 - 8.5% = 2221.5765375

2221.5765375 - 8.5% = 2032.74253181

2032.74253181 - 8.5% = 1859.95941661

1859.95941661 - 8.5% = 1701.8628662

1701.8628662 - 8.5% = 1557.20452257

1557.20452257 - 8.5% =1 424.84213815 ≈ 1425

The guy above is right :)

Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 8 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 25 by 64 centimeters. Zach moved the existing sand to the new terrarium.

Answers

Answer:

5cm

Step-by-step explanation:

50cm x 20cm x 8cm = 8000cm^3

25cm x 64cm = 1600cm^2

1600x=8000

x=5cm

X=5cm just do some math and you should be able to figure it out

please help real quick ​

Answers

Divide total km by the km in the scale:

112 / 16 = 7

The answer is A. 7 cm

Answer:

7 cm

Step-by-step explanation:

1 cm : 16 km   :: x cm : 112 km

Product of mean = Product of extreme

16 * x = 1 * 112

x =[tex]\frac{112}{16}[/tex]

x = 7cm

What is the solution to the inequality 3t + 9 ≥ 15 ? please answer as soon as you can!!

Answers

Answer:

T≥2

Step-by-step explanation:

3t+9≥15

3T≥15-9

3T≥6

T≥2

Answer:

t ≥ 2

t ∈ [2 ; +oo)

Step-by-step explanation:

3t + 9 ≥ 15

3t ≥ 15 - 9

3t ≥ 6

t ≥ 6 : 3

t ≥ 2

t ∈ [2 ; +oo)

PLZZ HELPP!! Water is poured from a 1.5 L water bottle into an empty glass until both the glass and the bottle are 3/4 full. What is the volume of the glass?

Answers

Answer:

0.5 L

Step-by-step explanation:

volume of bottle: 1.5 L

amount of water = 1.5 L

volume of glass: x

3/4 full is the same as 0.75 full

vol of water in bottle + vol of water in glass = total vol of water

      0.75(bottle)          +       0.75(glass)          =           1.5

0.75(1.5) + 0.75x = 1.5

0.75x = 0.375

x = 0.5

The correct answer is 0.5L

Alexander bought a box of crackers at the store. He ate half of the crackers in the box on Monday, and he ate 1/2 of what was left on Tuesday. On Wednesday, he ate 1/3 of what was left after he was finished eating the crackers on Tuesday.
1) What fractional part of the total crackers originally in the box did Alexander
eat on Wednesday?
2) what fractional part of the total crackers originally in the box are left. 3) if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened. (Please help!)

Answers

Answer:

Given the equivocal nature of this question, I will need to draw an assumption: I will assume that Ali ate from the cake and so did Jason — not Ali ate from the cake and Jason ate from Ali’s slice.

With that being said, the first approach is make both of these fractions have a common denominator, so that we can find how much each respective person ate from the total amount of slices. Intuitively, the common denominator is 12

12

, so this must be true:

Ali ate 4/12

4

/

12

of the cake;

Jason ate 3/12

3

/

12

of the cake

Adding these two fractions will give us 7/12

7

/

12

— the total amount eaten. Now, to find the amount left, we need only subtract 7/12

7

/

12

from 12/12

12

/

12

(the total amount of the cake). Doing so will give us

Step-by-step explanation:

There is 16 crackers.


1/3 = 4.


1/3 < 1/2


3/3 = 2/2


4 x 3 = 12.


if there were still 4 crackers AFTER eating 1/3 on wednesday, you add 12 + 4 = 16

Help please all questions.

Answers

Answer:

A is A=25

B=10

B is 40

C is A=10

B=6.428

hope i helped you

sorry if it is incorrect

A:
Club A: 10
Club B: 25
B:
month 2
C:
Club A: 10
Club B: 5

Write an expression with exponents to find the total number of panes in 12 windows.

Answers

Answer:

Below

Step-by-step explanation:

Imagine our window has 4 panes (picture below)

Let T be the total number of panes:

There are 12 windows at total.

●T = 4×12

Notice that:

● 4 = 2×2

● 12 = 4×3 = 2×2×3

● T = 2×2×2×2×3 = 2^4×3

T=4x12 because the total number of panes in a window is is 4 and there are 12 windows which all have 4 panes so you have to multiply 4x12 and you will get your answer

Triangle ABC is dilated to form new triangle DEF. If angle A is congruent to angle D, what other information will prove that the two triangles are similar by the AA similarity postulate?
Angle B is congruent to angle E.
Side AB is congruent to side DE.
Angle C is congruent to angle D.
Side BC is congruent to side EF.

Answers

Answer:

Step-by-step explanation:

option A ,  angle B is congruent to angle E { SINCE IT IS AA POSTULATE

Answer:

B=E (b)

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36

Answers

Step-by-step explanation:

of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36

Answer:

you change your mind, drag the item to the trashcan. Click the trashiecan to clear all your answers. Factor completely and then place the factors in the proper location on the grid.

Step-by-step explanation:

Thanks!

PLEASE HELP WILL GIVE BRAINLY!!!!!!!
Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.
A) q= 5/5
B) q= -5/5
C) q= 3/5
D) q= -3/5
E) q= 25/5

Answers

Answer:

q = -5[tex]\sqrt{5}[/tex]

q = 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Since there is no constant value. This must be a special case.

So,

(q+5[tex]\sqrt{5}[/tex])(q-5[tex]\sqrt{5}[/tex])

q = -5[tex]\sqrt{5}[/tex]

q = 5[tex]\sqrt{5}[/tex]

Yeah I’m gonna have to agree with that one

help me plz can somewon help me

Answers

Answer:

The answer is 6x10^-4.

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 .

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer: Bottom left corner, [tex]6 \times 10^{-4}[/tex]

How to get this answer:

Place the decimal point after the 6 to get 6.0

The question is now "how do we go from 6.0 to get back to 0.0006?"

The answer is "move the decimal point 4 spots to the left". This movement of "move 4 left" means the exponent is -4. The negative because we moved to the left. The 4 indicates how many spaces we moved.

So we get the scientific notation value of [tex]6.0 \times 10^{-4}[/tex] which is the same as [tex]6 \times 10^{-4}[/tex] because 6.0 simplifies to 6

Clare has 150$ in her bank account. She buys a bike for 200$. What is Clares account balance now?

Answers

$50 is the answer now:) hope this helped!

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The amount left in the bank account is -$50.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount in the bank account = $150

Cost of the bike = $200

The amount left in the bank account.

= 150 - 200

= -$50

Thus,

The amount left in the bank account is -$50.

Learn more about expressions here:

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Find the length of KE. A. 30 B. 28 C. 15 D. 3

Answers

Answer:

28

Step-by-step explanation:

What value of p makes both sides equal the same? P = 3

37 - 9 = 28

21 + 7 = 28

So line KE and BE both equal 28

Hope this helps, and have a good day :)!

The length line KE and BE both equal 28.

Option (B) is correct.

Find the length of KE.

What is angle?

Figure which is formed by two rays or lines that shares a common endpoint.

Given that:

Let the value of

P = 3

Put the value of P

37 - 9 = 28

21 + 7 = 28

So, line KE and BE both equal 28

Learn more about angle here:

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Match each function formula with the corresponding transformation of the parent function y = 3x
1. y = -3^ x Translated up by 1 unit 2.
2.y = 3^ -x Reflected over the y-axis 3.
3.y = 3 ^x - 2 Translated right by 2 units 4.
4. y = 3 ^x + 1 Translated down by 2 units 5.
5. y = 3^ x + 1 Translated left by 1 unit 6.
6. y = 3 ^x - 2 Reflected over the x-axis


Everything is exponents of the three except the -2 at the end and the 4th one is also +1 not an exponent

Answers

Answer:

1. y = -3^ x Translated up by 1 unit 2.

2.y = 3^ -x Reflected over the y-axis 3.

3.y = 3 ^x - 2 Translated right by 2 units 4.

4. y = 3 ^x + 1 Translated down by 2 units 5.

5. y = 3^ x + 1 Translated left by 1 unit 6.

6. y = 3 ^x - 2 Reflected over the x-axis

Step-by-step explanation:

help me plz i dont get this

Answers

Answer:

56 [tex]in^2[/tex]

Step-by-step explanation:

We can first break this down into 2 smaller rectangles.

1x2x4 rectangle

4x3x4 rectangle.

Then we can find out the area of each, and we get 8+48 = 56.

You also could find this out by subtracting the area that is missing.

Answer:

The volume of the container is 56 in^3

Step-by-step explanation:

To solve, I split this figure vertically at the corner between the two steps. We know that the formula for volume of a container is V= l*w*h. The first, smaller portion of the container has a length of 4, a width of 1, and a height of 2. 4*1*2= 8 in^3

The second, larger portion of this container has a length of 4, (look at the side of the first portion), a width of 3, (4-1=3), and a height of 4. 4*3*4= 48 in^3.

Finally, add together the volumes of the two portions and that is the volume of the whole figure. V= 56 in^3

A parallelogram has a base of 9 centimeters and a height of 21 centimeters. What is the area of the parallelogram? Please include all work!!

Answers

Answer:

A =189 cm^2

Step-by-step explanation:

The area of a parallelogram is found by

A = bh where b is the base and h is the height

A = 9 * 21

A =189 cm^2

Answer: 189 cm^2

Explanation:

A = bh

A = 9 x 21
A = 189

Solve the system of equations 2x - y = 11 and x + 3y = -5

Answers

Answer:

x = 4, y = -3

Step-by-step explanation:

{2x - y = 11

{x + 3y = -5

You can use the substitution method by solving for x in the second equation:

x + 3y = -5

Subtract 3y from both sides:

x = -3y - 5

Now, substitute this value for x into the first equation:

2x - y = 11

2(-3y - 5) - y = 11

Distribute:

-6y - 10 - y = 11

Add 10 to both sides:

-6y - y = 21

Combine like terms:

-7y = 21

Divide both sides by -7:

y = -3

Next, substitute this value for x into the second equation:

x + 3y = -5

x + 3(-3) = -5

Multiply:

x - 9 = -5

Add 9 to both sides:

x = 4

Answer:

(7, 3)

Step-by-step explanation:

2x - y =11                         2x-y =11

-2(x+3y)= (-5)-2              -2x-6y= 10

Then you will cross out the x, and add.

-7y =21 divide 7

y=-21/7 or y=3

Then you plug in the y where the y is and solve

2x-(3) = 11

2x = 14

x=7

         

Can someone do this?

Answers

Answer :
Do what??
Explain:
Hehehhehehehhehehe
I have something similar and I need help :(


Veronica wants to buy a house that costs $249,900. She is going to make a 20% down payment. How
much is her down payment in dollars?

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

$49,980

▹ Step-by-Step Explanation

[tex]\frac{20}{100} * $249,900 \\\\= $49,980[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer

49,900

Step-by-step-explanation

go two across and place the decimal there, so 20% will be turned into 0.20 and multiply 0.20 by the 249,900. When you are done you will get the amount.

Hope this helped!

can somebody help me with this math problem

Answers

Answer:

D). 137

Step-by-step explanation:

1). 40 % of 50 = 20

  50 + 20 = 70

2). 40 % 70 = 28

  70 + 28 = 98

3). 40 % of 98 = 39.2, basically 39

   98 + 39 = 137

137 is the right answer

Pls make my answer brainiest))))

the answer would be be D 137

a countrys population in 1995 was 206 million. In 1998 it was 210 million. Estimate the population in 2008 using the exponential growth formula. Round your answer to the nearest million

Answers

Answer:

254 million

Step-by-step explanation:

In a calculator it would to

210 x 1,0194^(10)

hi! the answer would be 254 million! the formula is P = P0e^rt. these letters / numbers represent:

P = total population
P0= starting population
r = % of growth
t = time
e = Eulers number

add the numbers in the problem below to solve, and then round! that’s how you get the correct answer!!

hope this helped!:)
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Which element is being cycled through Earth's system in the image shownbelow?Fossil fuelsCellularrespirationPhotosynthesisAnimalsPlantsIndustry and HomeDeath anddecayA. OxygenB. Nitrogenc. HydrogenO D. Carbon cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 6 instead, she subtracted 6 and then divided the result by 3 giving an answer of 25 what would her answer have been if she had worked the problem correctly? At December 31, 2017, Larkspur Corporation had an estimated warranty liability of $124,000 for accounting purposes and $0 for tax purposes. (The warranty costs are not deductible until paid.) The effective tax rate is 30%. Compute the amount Larkspur should report as a deferred tax asset at December 31, 2017. Deferred tax asset at December 31, 2017 Which of the following is a distinct structure found specifically in the liver, spleen, and bone marrow? Select one: a. Sinusoidal capillaries b. Fenestrated capillaries c. Venous sinus d. AV anastomoses e. Continuous capillaries 20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!! The fraction model below shows the steps that a student performed to find a quotient. Which statement best interprets the quotient? A. There are 5 1/6 three-fourths in 4 1/8 B. There are 5 1/6 three and one-eights in 3/4 C. There are 5 1/2 three and one-eights in 3/4 D. There are 5 1/2 three-fourths in 4 1/8 What is -8.64 -0.024?360- 36-36036 The following equation has how many solutions? \left|x-1\right|=7 x1=7 The pH scale is used to tell if a substanceis an acid or base. Substances with a pHof 7 are neutral. An acid is anythingbelow 7 and a base is anything above 7.Bleach has a pH of about 12. What type ofsubstance is bleach?A. baseB. acidC. neutral A rectangular sheet of steel is being cut so that the length is four times the width the perimeter of the sheet must be less than 100 inches . Which inequality can be used to find all possible lengths,l.of the steel sheet the base of a rectangle is three times as long as the height. of the perimeter is 64, what is the area of the rectangle A one-month summary of manufacturing costs for Rapid Routers Company follows. Direct materials $40,000 Direct labour 20,000 Material handling costs 1,500 Product inspection and rework 2,000 Materials purchasing and inspection 500 Routine maintenance and equipment servicing 1,200 Repair of equipment 300Required:Classify each cost as value-added or non-value-added If f is a function that f(f(x)) = 2x + 1, which is the value of f(f(f(f(3)))? Please help! the origin of a muscle is generally Ultra-high-temperature sterilization effectively reduces microbes that cause spoilage. removes only mesophilic microbes. reduces microbes that cause disease. removes all microbes that cause diseases or spoilage. reduces microbes that cause disease or spoilage. how do you find the area of an open cylinder... what is the Formula?? please help You are the manager who employs a participantive control approach. You have concluded that corrective action is necessary to improve customer satisfaction, but first you need to convince your employees that the problem exists. What kind of evidence do you think employees will find more compelling; quantitative measurements or anccdotes from your interactions with customers if pentagon OPQRS is dilated by a scale factor or ?from the origin to create O'P'Q'R'S: what is the ordered pair of point S'? the fair value of Blossom is estimated to be $820,800. The carrying value of Blossoms net identifiable assets, including the goodwill, at year-end is $855,000. Prepare Cullumbers journal entry, if necessary, to record impairment of goodwill. Number of minutes 1 2 3 4 5 6 7 8 9 10 Number of trainees 2 3 5 10 15 30 25 15 10 5 1.) use the data to draw a bar chart Terrance needs to comminicate with managers in several different locations regarding a sensitive complex topic. Therefore he should choose the communication medium highest in information richness which would be a:______a. Voice mail message.b. Group email.c. Videoconference.d. Recorded presentation.