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

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.

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)

can someone help me please!!!

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?

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?

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.

PLEASE ANSWER ASAP BRAINLIEST AND 100 POINTS

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

Darian is multiplying 34 by 12.

Use the drop-down menu to complete the statement.

and the choices are greater than and less than

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

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

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?

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?

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?

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.

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

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

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.

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

Help me with this plzzz

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

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

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

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

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

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

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!)

can anyone help me out with this?

are humans real
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-5 = 1/3(-1-w)

pls help! i will give brainly

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

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