The formula for any geometric sequence is an = a1 · rn - 1 , where an represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...?

A. an = 4 · (1/2) n - 1
B. an = 2 · 4 n - 1
C. an = 32 · 2 n - 1
D. an = 4 · 2 n - 1

Answers

Answer 1

Answer: The correct answer would be

D. an = 4.2n-1

Step-by-step explanation: First, calculate the ratios between each term and the one that precedes it.

8/4=2 ....16/8=2...32/16= 2...

Upon comparing the ratios we see the ratio between each term and the one that precedes it is 2 for all the terms, the sequence is geometric, and the common ratio is r = 2.

Now, we simply need to find the other unknown values in the equation, a1= the first term of the sequence which is 4, Therefore a1=4

Looking at the options provided we see that no further missing quantity can further be found so we put this in the equation provided for a geometric sequence.

We get 4. 2n-1, which is our answer.


Related Questions

Darian is multiplying 34 by 12.

Use the drop-down menu to complete the statement.

and the choices are greater than and less than

Answers

Answer:

Less

Step-by-step explanation:

Can u pls mark me brainliest

Answer:

LESS THAN

Step-by-step explanation:

[tex]\frac{3}{4}* \frac{1}{2} =\frac{3}{8}[/tex]

[tex]\frac{3}{8}[/tex]  IS  LESS THAN  [tex]\frac{3}{4}[/tex]

Calculate the Standard Deviation of the following set of data. 14, 15, 16, 16, 9, 3, 16, 20, 29, 12

Use the image below

Answers:
A) 46
B) 23
C) 7.66
D) 6.78

Answers

Answer: D

Step-by-step explanation:

Determine the constant of proportionality in the situation below.
Every bag of peanuts costs $3.55
pls answer this serously thx.

Answers

https://brainly.com/question/19641181

Only answer if you know the correct answer! Thanks! :)

Answers

Answer:

(21, 7)  

because the x axis is the number of minutes and the y axis is the x axis divided by 3

The answer is (21,7)

On your own paper, plot the Points E(−2,2) and F(8,10). Use the vertical and horizontal grid lines to draw a right triangle with these two points as vertices.

Question 1
Part A

Label the third vertex of your right triangle Point G. Identify the two possible coordinates of Point G.

Enter the correct answers in the boxes

Answers

Answer:

(-2, 10) and (8, 2)

Step-by-step explanation:

Please help me I will give brainliest
First dropdown positive , negative
Second dropdown real , non-real
Third dropdown in the image
Pick THREE answers
ONE FROM EACH DROP DOWN

Answers

First drop down is NEGATIVE

Second drop down is NON-REAL

Third dropdown is the second to last one at the bottom (2 plus or minus 4i)

Hope this helps!
1: NEGATIVE
NON REAL
2 plus or minus 4

Help me with this plzzz

Answers

The answer is c 16475
the right answer is c 16475

Determine the constant of proportionality in the situation below.
Seven water bottles cost $14.28.
pls be serious thx

Answers

Answer:

$99.40

Step-by-step explanation:

answer:
99.40 :)
hope this helped

Keith has $20 in a savings account that earns 10% interest, compounded annually.
To the nearest cent, how much interest will he earn in 3 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

A = P(1 + r)t

Step-by-step explanation:

account balance, to the nearest cent, after: Year 1? Year 2? Year 3? Year 4? ... -To calculate compound interest we use the formula below where A = total balance after t years, P = principal amount (amount borrowed or invested), r = interest ... annually. a) How much money will Jack have after 1 year? b) How much money ...

Answer:

$6.62 interest

Step-by-step explanation:

B = p(1 + r)^t

= 20(1 + 0.10)^3

= 20 * (1.10)^3

= $26.62

First answer gets brainliest. Also pls im desprete for a answer

Answers

Answer:

81 for the first paper, and 108.5 for the second paper. Combined, this is 189.5.

Multiply length times width to get the area. Then add the two total areas.

Seth's bank charges $7 a month to maintain a checking account and $0.50 for each check Seth writes. Last month, Seth paid a total of $11.50 in checking account fees. How many checks did he write?
A. 6
B. 7
C. 8
D. 9

Answers

11.50-7=4.5; 4.5/0.5=9
He wrote 9 checks.
Seth wrote 9 checks that month

-5 = 1/3(-1-w)

pls help! i will give brainly

Answers

solve for w
divide each side by factors that don’t contain the variable
w = 14

Answer:

w=14

Step-by-step explanation:

Let's solve your equation step-by-step.

−5= 1/ 3 (−1−w)

Step 1: Simplify both sides of the equation.

−5= 1/ 3 (−1−w) −5=( 1/ 3 )(−1)+( 1/ 3 )(−w) (Distribute)

−5= −1/ 3 + −1/ 3 w

−5= −1/ 3 w+ −1/ 3

Step 2: Flip the equation.

−1/ 3 w+ −1/ 3 =−5

Step 3: Add 1/3 to both sides.

−1/ 3 w+ −1/ 3 +1/  3 =−5+ 1/ 3

−1/ 3 w= −14/ 3

Step 4: Multiply both sides by 3/(-1).

( 3 −1 )*( −1/ 3 w)=( 3/ −1 )*( −14/ 3 )

w=14

Answer:

w=14

 

are humans real
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Answers

Answer:

aaaaaaaaaaaaaaaaaaaa

AAAAAAAAAAAAAAAAAAAAAaaaaaAaAAaaaAAaAAAaAAaA

I’m to lazy to do my own work so can anyone help? Please explain

Answers

Answer: F

Example

If you do the math correctly the mean is 1955. The median is 78. The range is 157 and the mode it what shows the most so that isn't correct in this situation. Since the question asks how much Adriana scored then you would use the mean to figure out the answer

Lol me too but the mean is 78 I don't know how it would help but there is a useful-ish piece of info

Can somebody please help me. All you have to do is write an equation for a problem and answer questions about it! (I will give brainliest to whoever can answer it!)

Answers

Sorry, I not that good at math
2X = 14.62. The value of x is not equal to 14.62, it is less. x is equal to 7.31, so doubling X will give you your answer.

Elsa is painting his bedroom walls. Each wall requires \large 1\frac{1}{3}gallons of paint. He has \large 2\frac{1}{4} walls left to paint. How many gallons of paint will he need?

Answers

Not enough information- it would depend on how much each wall needs per gallon.

Solve the system of linear equations by elimination. Check your solutions.

-5x + 3y = -6
9x - 4y = 1

Answers

We can divide both sides of the equation by 43 to solve for x:

90x / 43 - 47y / 43 = -49 / 43

x = -49/43

We can substitute this value for x back into either of the original equations to find y. Let's substitute it into the first equation:

-5x + 3y = -6

(-5 * -49/43) + 3y = -6

y = (-6 + 5 * 49/43) / 3

y = 17/43

The solution to the system of equations is (x, y) = (-49/43, 17/43).

To check our solution, we can substitute the values we found for x and y back into the original equations and see if they hold true.

In the first equation, -5x + 3y = -6, substituting the values we found for x and y gives us:

(-5 * -49/43) + (3 * 17/43) = -6

This simplifies to -6 = -6, which is true, so the solution holds for this equation.

In the second equation, 9x - 4y = 1, substituting the values we found for x and y gives us:

(9 * -49/43) - (4 * 17/43) = 1

This simplifies to -1 = -1, which is true, so the solution holds for this equation as well.

Therefore, the solution (x, y) = (-49/43, 17/43) is correct.

-5*9=-45
-45x+3*9y=-6*9
Equation1: -45x+27y=-54

Equation2: -45x-(4*(-5))y=1*(-5)
-45x+20y=-5

Equation1-equation2= 27y-20y=-54-(-5)
7y=-49
Y=-7

9x-4*(-7)=1
9x=1-28
X=-3

(X, y)=(-3, -7)

A color printer prints 23 pages in 9 minutes. How many pages does it print per minute? Round to the nearest hundredth. No links

Answers

Answer:

2.56

Step-by-step explanation:

To find out how many pages the printer prints per minute, you need to divide the amount of pages it printed with how long it printed.

So 23÷9

Which equals 2.55555555-

Round 2.5555555 to the nearest hundredth you get 2.56.

I think the answer is 2.56.

23 divided by 9 is 2.55555

2.55555 rounded to the nearest hundredth is 2.56

A factory makes aquariums. Each aquarium is in the shape of a triangular prism, as shown below. If the factory made aquariums that require a total of
of water, how many aquariums did the factory make?
12,600 ft of water, how many aquariums did the factory make?

Answers

Answer:

the answer is 384

Step-by-step explanation:

The factory made about 382 aquariums:

A truck is carrying grape juice, passion fruit juice, and pear juice bottles in a ratio of
2 : 1 : 2. If there are 20 grape juice bottles, then how many passion fruit juice bottles are
there?

Answers

Answer:

10

Step-by-step explanation:

you can see the ratio was multiplied by 10 so you need to multiply one by 10

10 is the answer to your question

Please answer soon!!!!!!!!!!!

Answers

Answer:

The second choice

The two events are dependent, so the probability of the second event is 1/3. P = 1/12

Step-by-step explanation:

The second choice... 1/12

can someone help me please!!!

Answers

Answer:

Jake, you need to be a little more detailed in your description of why they are similar and congruent.

Step-by-step explanation:

Lol I'm pretty sure this isn't what they were asking for...

Answer:

Both shapes C and D are the same in everything but size.

2.The base of a rectangular pyramid has dimensions 3 feet by 9 feet. The height of the pyramid is 11 feet.


What is the volume of the rectangular pyramid in cubic feet? Answer below, no units.


Question 3.

The dimensions of a triangle prism are shown in the diagram.

What is the volume of the triangular prism in cubic centimeters?

Answers

the answer would be 170 i think

8.5 times 10 divided by 3 and times 6

Marty slides point (-2,-5) to (4,-7) and then slides the new point to (-1, -10). Which single translation could Marty use to reach the final point (-1, -10) from the starting point?
A - (x,y)➝(x+1,y-5)
B - (x,y)➝(x+1,y+2)
C - (x,y)➝(x-5,y-3)
D - (x,y)➝(x-1,y-5)

Answers

Answer:

It is (x,y) (x+1,y-5)

Step-by-step explanation:

can anyone help me out with this?

Answers

Answer:

Q1-4 = Solutions are found in attachment; Q5 = 24; Q6 = 8; Q7 = 7; Q8 = 3; Q9 = 45; Q10 = 24; Q11 = 15; Q12 = 18; Q13 = 3, 6, 9, 12, 15; Q14 = 7, 14, 21, 28, 35; Q15 = 8, 16, 24, 32, 40

Step-by-step explanation:

Solution for 1 to 4 are shown in the graph in the attachment.

Bold = Answer

Equivalent fractions

5.

6/8 = x/32

32/8 = 4

x = 6 * 4 = 24

6.

4/6 = x/12

12/6 = 2

x = 4 * 2 = 8

7.

1/8 = x/56

56/8 = 7

x = 1 * 7 = 7

8.

9/12 = x/4

12/4 = 3

x = 9/3 = 3

9.

5/9 = 25/x

25 / 5 = 5

x = 9 * 5 = 45

10.

5/6 = 20/x

20 / 5 = 4

x = 6 * 4 = 24

11.

36/45 = 12/x

36/12 = 3

x = 45 / 3 = 15

12.

20/36 = 10/x

20/10 = 2

x = 36/2 = 18

Multiples

13.

3 * 1 = 3

3 * 2 = 6

3 * 3 = 9

3 * 4 = 12

3 * 5 = 15

3, 6, 9, 12, 15

14.

7 * 1 = 7

7 * 2 = 14

7 * 3 = 21

7 * 4 = 28

7 * 5 = 35

7, 14, 21, 28, 35

15.

8 * 1 = 8

8 * 2 = 16

8 * 3 = 24

8 * 4 = 32

8 * 5 = 40

8, 16, 24, 32, 40

Students are making lemonade from a powdered lemon drink mix. Adam mixes 3 cups of water and 4 cups of powdered lemon mix. Grace mixes 2 cups of water and 3 cups of powdered lemon mix. Use Adam and Grace’s percent of powdered lemon mix to determine whose mix will be more lemony.

Answers

Answer:

Ariana's percentage of the powdered lemon mix is 85%.

Andres's percentage of the powdered lemon mix is 48%.

Step-by-step explanation:

Answer:

The answer is 85% and 48%

Find the missing length. Round to the nearest tenth, if necessary.

Answers

the answer is 19.4. the equation is a^2 + b^2 = c^2

ANSWER BOTH PLEASEEE!!!
A. A car corporation produced 580 fewer cars this month than last.
Write a signed number to represent this month's change in production.

B. Debra's test score average increased by 4 points this semester.
Write a signed number to represent this change in average.

Answers

i don’t know i need this too lol

A factory makes aquariums. Each aquarium is in the shape of a triangular prism, as shown below. If the factory made aquariums that require a total of
12,600 ft 3 of water, how many aquariums did the factory make?

Answers

Answer: 420 aquariums

Step-by-step explanation:

The volume of the triangular prism is 30 because 1/2x5x4x3=30; if we divide 12,600 by 30 we get 420, which is 420 aquariums.

                                                                                   

PLEASE ANSWER ASAP BRAINLIEST AND 100 POINTS

Answers

Answer:

x = 2

Step-by-step explanation:

x + y = 7 - 2x + y = 5

x = 2

hope im right :)

For part B i dont know

Answer: x=−2 and y=9.

Step-by-step explanation: x+y=7

x+y+−y=7+−y

x=−y+7

2x+y=5

2(−y+7)+y=5

−y+14+-14=5+-14

−y/-1=−9/-1

y=9

x=−y+7

x=−9+7

x=−2

x=−2 and y=9

Other Questions
A boxer usually practices with a dead weight. He increases his strength and trains himself using the dead weight to fight in the real matches. The fighting practice by the boxer is like working of vaccine. Why? Container A is 13 inches by 19 inches by 25 inches. Container B is 13 inches by 13 inches by 31 inches. In cubic inches, how much greater is the volume of Container A. What is the mean of 17 20 17 33 22 23 Why are rapidly growing populations an issue? A . They utilize resources faster then they can replenish B. They overwhelm water purification plants. C. They spread out over vast areas of land turning farms and habitat into housing. D . All of the above . Which is not part of a community infrastructure? A. Public water supply B. Arable land C. Power plantsD. Sewer lines In this century , the world population is likely to.. A. Stop growing B. Begin to slowly declineC. Continue to slowly growD. Continue to rapidly grow .Which is not a strategy to reduce population size? A. Public advertising B. Economic incentives C. Legal punishments D. Limiting education for women How many bones are in the baby body vs the Human body The current is the same everywhere in a parallel circuit True or false why Select the correct answer.Which was the first animated film to feature a soundtrack?A.Snow WhiteB.The Enchanted DrawingC.Steamboat WillieD.Gertie the Dinosaur The blending of the fundamental tone with overtones produces the __?__of an instrument. European Theater: WWII map Which two of these poetic passages use alliteration for effect?The delicious singing of the mother, or of the young wife at work, or of the girl sewing or washing,Each singing what belongs to him or her and to none else,The day what belongs to the day-at night the party of young fellows, robust, friendly,Singing with open mouths their strong melodious songs.(Walt Whitman, "I Hear America Singing")It was a spring that never came;But we have lived enough to knowThat what we never have, remains;It is the things we have that go.(Sara Teasdale, "Wisdom")In a solitude of the seaDeep from human vanityAnd the Pride of Life that planned her, stilly couches she.(Thomas Hardy, "The Convergence of the Twain") ahhh eoeoeoeoeoeeeeooooo ahhh eoeoeoeo iii eoeoeoooooeeoeoeoeoeoeeo eehaaaahahahhehehehehe ioioioi hehooeoeoeoeo hehehoeoeoeooahhhhhh eoeoeoeooeoeohahahepepo eeeoeooejeoejjhahahahahhapoeoeoeioieoeiiioeieoeiiiioeiieieoii? People use persuasive language to ________.Ateach someone how to do somethingBconvince someone to act or agreeCencourage someone who's feeling downDpaint a picture with words A federal government is best illustrated by Responses A Spain.Spain. B Japan.Japan. C The United Kingdom.The United Kingdom. D United States of America.United States of America. E The European Union.The European Union. Read the sentence.My friends and I did a lot today. We went to the mall, bought smoothies, then walked around for over two hours talking. After a busy day, my friends and I were ready to chill out on the couch and do nothing.Which words or phrase in the sentence gives you a clue to the meaning of the nonliteral phrase? (3 points)After a busy day, do nothingWent to the mall, were readyBought smoothies, then walkedMy friends and I were readyRead the sentence.My friends and I did a lot today. We went to the mall, bought smoothies, then walked around for over two hours talking. After a busy day, my friends and I were ready to chill out on the couch and do nothing.Which words or phrase in the sentence gives you a clue to the meaning of the nonliteral phrase? (3 points)After a busy day, do nothingWent to the mall, were readyBought smoothies, then walkedMy friends and I were readyRead the sentence.My friends and I did a lot today. We went to the mall, bought smoothies, then walked around for over two hours talking. After a busy day, my friends and I were ready to chill out on the couch and do nothing.Which words or phrase in the sentence gives you a clue to the meaning of the nonliteral phrase? (3 points)After a busy day, do nothingWent to the mall, were readyBought smoothies, then walkedMy friends and I were readyRead the sentence.My friends and I did a lot today. We went to the mall, bought smoothies, then walked around for over two hours talking. After a busy day, my friends and I were ready to chill out on the couch and do nothing.Which words or phrase in the sentence gives you a clue to the meaning of the nonliteral phrase? (3 points)After a busy day, do nothingWent to the mall, were readyBought smoothies, then walkedMy friends and I were ready 1.) Horatio is the one to tell Hamlet of his father's ghost in the first Act of the play. What does Shakespeare indicate by making this choice?A.) Horatio can be trusted.B.) Horatio wants to be involved in Hamlet's revenge.C.) Horatio is partially at fault for the events that take place.D.) Horatio is quick to tell secrets. What would the genotype be for an orange kitty At a bakery, 55 chocolate chip cookies were burned. if that was 15% of the day's production, how many total cookie did they make that day? 3. The countries shaded in the map below represent.15 pointsUse the map below and your knowledge of social studies to answer thefollowing question.A. USMCA (United States Mexico Canada Agreement)B. EU (European Union)C. ASEAN (Association of Southeast Asian Nations)D.OPEC (Organization of Petroleum Exporting Countries) what's tan (-90)............ find the length of side xx in simplest radical form with a rational denominator.