What is the equation for the nth term of geometric sequence 32,48,72

Answers

Answer 1

Answer:

              [tex]\bold{a_n =32\left(\frac32\right)^{n-1}}[/tex]

Step-by-step explanation:

[tex]a_1=32\\a_2=48\\a_3=72\\\\\dfrac{a_2}{a_1}=\dfrac{48}{32}=\dfrac32\\\\ \dfrac{a_3}{a_2}=\dfrac{72}{48}=\dfrac32\\\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac32=r[/tex]

Therefore the formula:

                                     [tex]a_n=a_1\cdot q^{n-1}\\\\a_n =32\left(\frac32\right)^{n-1}[/tex]


Related Questions

What is the area of a rectangle that is 5 meters long and 8 meters wide? A. 13 m2 B. 26 m2 C.35 m2 D. 40 m2​

Answers

Answer:

D. 40 m2

Step-by-step explanation:

The area of a rectangle is its length multiplied by its width.

length  * width  = Area

5 * 8 = 40

Answer:

[tex]\Huge\boxed{D.40m^2}[/tex]

Step-by-step explanation:

area of a rectangle = width times length

given width = 8 meters

given length = 5 meters

area = 5 * 8

8 * 5 = 40

hence, the area of the rectangle is 40m²

For the data set 1,7,7,7,8, the mean is 6. what is the mean absolute deviation?

Answers

Answer:

The answer is 2

Step-by-step explanation:

First you need to calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. All of the points add up to 10. Then you divide that number by how many points there are which is 5 and you get 2.

Hope that helps. =)

Answer:

the answer is 2

Step-by-step explanation:

hoped I helped

Can someone help me with this problem?

Answers

Answer:

a) 2

b) 3

c) 1

hope this helps :)

Jada sells ground paprika.
Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is graphed.

Answers

Answer:

The answer is 35 kilograms of paprika to cover her costs exactly.

Step-by-step explanation:

2x + 10 =28
What is the solution to this equation?

Answers

X= 9
Work:
2x + 10= 28
2x-10= 28-10
2x= 18
X= 18/2 which equals 9

Simplify the expression
[tex]5( \frac{1}{5} x - 1)(5x - \frac{1}{5} )[/tex]

Answers

The answer is (25x-1) (x-5)/5

i need a bit of help with this bc i’m literally not smart. no work needed, just an answer. i’ll give brainliest.

Answers

Answer:

1. y= -2

Step-by-step explanation:

i hope this helps :)

Answer:

option (3)

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 2, - 5 ) and (- 2, - 4) with x- coordinates - 2 , then

x = - 2 ← equation of line

Which set of sides would make a right angle?

8,10,12

4,5,6

5,12,13

5,10,12

Answers

The answer is 5,12,13 as when you plug these into the Pythagorean theorem :
5^2 + 12^2 = 13^2
25 + 144 = 169
13^2 = 169
Hope this helps :)

Answer:

c

Step-by-step explanation:

Describe the correlation between the amount spent and the number of people spending the money.

A. Negative correlation; as the amount spent increases, the number of people spendings that amount decreases

B. Negative correlation; as the amount spent increases, the number of people spending that amount increases

C. Positive correlation; as the amount spent increases, the number of people spending that amount decreases

D: Positive correlation; as the amount of spent decreases, the number of people spending that amount increases

Answers

Answer:

A. Negative correlation; as the amount spent increases, the number of people spendings that amount decreases.

It is so clear, just look at the graph and you will see exactly what im talking about

In ΔNOP, o = 3.5 inches, n = 3.3 inches and ∠N=37°. Find all possible values of ∠O, to the nearest 10th of a degree.

Answers

Answer:

Answer: 39.7  

 and 140.3  

Step-by-step explanation:

All possible values of ∠O, to the nearest 10th of a 39.7degrees and 140.3 degrees.

We have given that,

In ΔNOP, o = 3.5 inches, n = 3.3 inches and ∠N=37°.

What is the triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

We have to determine all possible values of ∠O, to the nearest 10th of a degree.

All possible values of ∠O, to the nearest 10th of a 39.7degrees and 140.3 degrees.

To learn more about the angle visit:

https://brainly.com/question/25770607

#SPJ2

Hep plsssssssss it due at 12

Answers

Answer:

14: slope is 20

15: 5

Step-by-step explanation:

What is the equation for the line that passes through the points (-5.5, 2.5) and (-2.5, -3.5)

Please help me with this

Answers

Answer:

y=-2x-8.5

Step-by-step explanation:

Solve my problem, PLEASE!!!!

Answers

Y=-1/3x+5
explanation

Answer:

y=-3+15

Step-by-step explanation:

convert 32 grams to kilometer

Answers

They are not compatible units

Answer:0.032

Step-by-step explanation:

A farmer planted corn in a square field. One side of the field measures 39 yards. What is the area of the cornfield?

Answers

Answer:

The area of the cornfield is 1,529 yards.

Step-by-step explanation:

In this case, since the statement indicates that it is a square field, you have to use the formula to calculate the area of a square, which is:

A=a², where:

A is the area

a is the lenght of side

The statement says that one side measures 39 yards, so this would be a, and you can replace this value on the formula:

A=39²

A=1,521

According to this, the answer is that the area of the cornfield is 1,529 yards.

e) Let f(x) = -2x + 5. Find and simplify the expression for the difference quotient,
F(x+h-f(x)/h

Answers

It’s messed up we need a pic

Pls HELPPPP HURRYYY PLSS

Answers

Answer:

A. 1 unit

Step-by-step explanation:

A cube has the same dimensions on each side, and the unit is 1 unit cube, none of the other options match.

You can easily rule out, B & D. That leaves you with A & C, and A makes the most sense, since 1 cubic unit would be the volume, and this question is only asking for the side length.

Good luck, hopefully, this helped!

Need Help!!!! I will give Brainliest

Answers

Answer:

Line C

Step-by-step explanation:

Hope you pass

A gaming
console costs
$300 and has
8% tax. How
much is the tax?

$30 or $24?

Answers

Answer:

24

Step-by-step explanation:

8 percent of 300 is 24.

that should be right

Answer:

$24

Step-by-step explanation:

The tax is how much more you have to pay based on a percentage of the initial cost. The tax percent in this case is 8%. Since the console costs $300, we take 8% of $300 and charge it as the tax.

$300 * 8% = $300 * 0.08 = $24

If done by hand,  move the decimal place on 0.08 to the left 2 times

0.08

00.8

008

This will give you 8. Multiply 8 by $300 which will give you $2400, next move the decimal to the right 2 times.

$2400.

$240.0

$24.00

Now you have $24

write the coefficient of h in 3d+h

Answers

the coefficient of h is 1

Mica stands 75 feet away from the base of a tree and looks up towards the top of the tree at a 51 degree angle.

Answers

Answer:

Height of the tree =  92.61 feet

Step-by-step explanation:

Given: Distance between base of tree and Mica = 75 feet

Angle of elevation to the top of tree = 51°

Assuming we have to find the height of the tree = H

This can be found by applying simple trigonometry.

The height of the tree becomes perpendicular and distance between base of tree and Mica is base.

Then,  tan51° = H/75

⇒ H = 75× tan51° = 92.61 feet

At Cassville Middle School, students can choose to study either French or Spanish. The
principal tracked the number of students learning each language for the past several years.
These box plots show the results.

Which languag had a higher median number of learners?
French
Spanish

Answers

Answer:

is french which is higher median number of learners

Answer:  French

Explanation:

The vertical bar on the inside of the box visually represents the median. For the French learners, the median is at 200. For the Spanish learners, the median is at 190.

What is the equation of the graphed line written in
standard form?
2x + 3y = -6
2x + 3y = 6
y= -2/3x - 2
v= 2/3x - 2

Answers

Answer:

A. 2x + 3y = -6

Step-by-step explanation:

[tex](-3,0) (0,-2)[/tex]

[tex]slope:\frac{-2-0}{0+3} =\frac{-2}{3}[/tex]

[tex]y-0=\frac{-2}{3} (x+3)[/tex]

[tex]3y=-2x-6[/tex]

[tex]3y+2x+6=0[/tex]

[tex]2x+3y=-6[/tex]

-------------------

hope it helps...

have a great day!!

Please help I will mark Brainly if u give me answer quickly

Answers

Answer:

x=29

Step-by-step explanation:

2x+1+33=90

56=2x

x=29

Find the area of the shaded figure

Answers

Answer:

its 56 units square.

Step-by-step explanation:

(count the tiles in the shaded figure, you'll get the area)

really confused about this

Answers

Answer:

.22/63

Step-by-step explanation:

area = pi x R^2

A=22/7 * 1/3^2

./22/63 - okah lol good luck

The Buffalo football team Lost 12 yards then gained 27 yard during the next play what was the change in position

Answers

Lbnnbbbbbbbbbbbbbbbvvvvggvggg

I NEED HELP ON THIS GEOMETRY QUESTION!!!

Answers

Answer:

c

Step-by-step explanation:

The answer is C You have to multiply

what polynomial is −6+x^4−x^2??? is it cubic, linear, quartic, quadratic, or quintic??

Answers

Answer:

To put the expression in the standard form for a polynomial we need to multiply the two terms. To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

Step-by-step explanation:

Find the mean of the following numbers:

32, 45, 33, 32, 43, 36, 38, 41, 39, 30, 44

Answers

Answer:

Step-by-step explanation:

Mean: 41+39+48+52+41+48+36+41+37+35/10

=41.8

Mode:41

Median:41

30, 32, 32, 33, 36, 38, 39, 41, 43, 44, 45 added together = 413
Divide by 11 (the number of items in the set)
Mean = 37.54545454
I don’t know how many decimal places they want you rounding to.
Other Questions
Please help me. find x and AC value a. Write the following expression in standard form by expanding and collecting like terms.3(4a + 6) + 2(a 10) Nondisjunction that occurs during meiosis II produces what? How does the women's fund Semillas aim to empower women?OA.by making them financially independentOB.by giving them access to free educationOC.by making sure they get equal pay for equal workOD. by raising money and awareness for women's health How is a savings account different from a certificate of deposit account? HELP AGAINaskjcnoianlkscnoxicn 3. The function f(x) = -3.5x + 45;0rectangle in terms of its width,x. Find the area of the rectanglewhen its width is 9.5 units. In which sentence were the commas used correctly before and after the appositives?After the pep-rally, a player celebration we walked to the game.After the pep-rally a player celebration, we walked to the game.After the pep-rally a player celebration, we walked to, the game.After the pep-rally, a player celebration, we walked to the game. 1. , 2. , 3. 4. , What is the role of the green substance chlorophyll in photosynthesis? (2 points)Chlorophyll collects water from the ground.Chlorophyll captures energy from the sun.Chlorophyll captures carbon dioxide from the air.Chlorophyll moves water up the stem to the leaves. As the masses of two objects increases, the force of gravity between them_____. please solve below !! Evaluate: 19 - 3k] = 3 Similar triangles (please explain how to do this) can someone tell me if this essay is good enough the last 2 paragraphs wereSqueaky is also not only attracted to her brother Raymond but she also considers protecting him. Earlier in the story Squeaky said All I have to do in life is mind my brother Raymond which is enough. This evidence shows that Squeaky cares about Raymond and wants to protect him.As you can see, Squeaky is a very protective character because she is always protecting Raymond. Not only did Squeaky protect Raymond but she also defends him when someone is being disrespectful to him. A factory manufactures 9 x 105 packs of gum each month. They send these out to 16 different distribution centers. If each distribution center gets the same number of packs, how many are sent to each center? The nucleus inside a eukaryotic cell has ________ that contains cell's DNA.A. bacteriaB. chromosomesC. electronO D. hair Describe how an officer's wife would spend her time. The function y = -16x2 + 1500 gives a parachute jumper's height y in feetafter "X" seconds for a jump from 1500 feet. How long is free fall if theparachute opens at 1100 feet? How is education in Japan and South Korea different from education in North Korea?