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

can someone help? (this is algebra work)

Answers

The phot bellow should help
4x = 8
8^-3 = 1/8^3 = 1/8x8x8 = 1/512

WILL SOMEONE HELP PLZ ANSWER THESE 3 QUESTIONS*
The number line compares the numbers –6, 3, and 5.

1. Write an inequality that compares –6 and 3. Justify your inequality using the number line.

2. Write an inequality that compares 3 and 5.

3. Write an inequality that compares –6, 3, and 5.

Answers

#1

-6-3-5

Hence inequality will be

[tex]\\ \sf\longmapsto -6\leqslant 5[/tex]

#2.

3<5

But we need inequality

[tex]\\ \sf\longmapsto 3\leqslant 5[/tex]

#3

The inequality given by

[tex]\\ \sf\longmapsto -6\leqslant 3\leqslant 5[/tex]

Answer:

1. Inequality

[tex] \hookrightarrow \: { \rm{ - 6 < 0 < 3}}[/tex]

2. Inequality

[tex] \hookrightarrow \: { \rm{3 < 0 < 5}}[/tex]

3. Inequality

[tex] \hookrightarrow \: { \rm{ - 6 < 0 < 3 < 5}}[/tex]

Can someone help me do this

Answers

Answer:

X = 2

5y + (what is that number???) can not see it

Someone put the same question earlier and I answered, I will answer again

So to find x ,
5x+2=12 as they are equivalent on the triangles
Minus 2 from both sides
5x = 10
Divide by 5 from both sides
X = 2

5y+6 = 111
Minus 6 from both sides
5y = 105
Divide by 5 from both sides
Y = 21

Steven collected $5.40 from 3 people for a train ride. How much was the train ride per person?
A. $2
B. $1.80

Answers

1.40 because 5.40 divided by 3 is 1.80
$1.80 is your answer
all you have to do is divide $5.40 and 3 and that will give you $1.80

What is the slope of a line perpendicular to the line whose equation is 10x + 6у –84. Fully simplify your answer.​

Answers

Answer:

The slope is 3/5.

Step-by-step explanation:

I am assuming you mean

10x + 6y = 84

6y = -10x + 84

y = -5/3 x + 14.

So the slope of this line is -5/3 and the slope of a line perpendicular to it is

-1 / -5/3 = 3/5.

Which statement best supports the generalization that the history of Earth is stored in its rocks?(1 point) ASAP PLEASE!!!!!!!

An analysis of the area known as the Siberian Traps proved that a major volcanic eruption contributed to a mass extinction on Earth.
An analysis of the area known as the Siberian Traps proved that a major volcanic eruption contributed to a mass extinction on Earth.

A study of the metal iridium revealed that it is rarely found on Earth.
A study of the metal iridium revealed that it is rarely found on Earth.

An investigation into increased ocean temperatures indicated global warming occurred on Earth.
An investigation into increased ocean temperatures indicated global warming occurred on Earth.

A test to measure the impact of an asteroid striking Earth highlighted the large clouds of dust that would block out the sun.

Answers

Answer:

the last paragraph ʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔ

Answer:

An analysis of the area known as the Siberian Traps proved that a major volcanic eruption contributed to a mass extinction on Earth.

Step-by-step explanation:

What do you add to 2 3/7 to make 4

&


What do you add to 5 4/9 to make 7

Answers

Hope this helps, have a nice day!!!

Our answers are

1 4/7 and 1 5/9

11. Find the value of r so that the polygons have the same per
X+4
x + 5
x + 3
X-2
X+4
(Just solve 11. Pleaaase!)

Answers

Answer: i

Step-by-step explanation: dk

commission expense is budgeted to be $16,000 at a planned sales level of 4,000 units. if only 2,900 units are sold, how much commission expense will appear on the flexible budget, and is the activity variance favorable or unfavorable?

Answers

The amount of commission expense that will appear on the flexible budget if 2900 units were sold is; $11600

The activity variance is favourable.

According to the question;

The budgeted commission expenses is to be $16,000 at a planned sales level of 4,000 units.However, only 2900 units are sold.

To solve this;

We must be aware that the commission expense is directly proportional to the number of units sold.

In essence;

$16,000 is expected at 4,000 units of sale.Therefore, $x is expected at 2,900 units of sale.

By cross product;

x = (2900 × 16000)/4000

x = $11,600

Ultimately, the activity variance is favourable bas less commission expense is recorded for less sale.

Read more;

https://brainly.com/question/24487497

1
What is the solution to the equation
1/x = x+3/2x^2
?
O X=-3
O x= -3 and x = 0
O x = 0 and x = 3
O x=3

Answers

Solution:

[tex] \frac{1}{x} = \frac{x + 3}{ {2x}^{2} } \\ = > \frac{2 {x}^{2} }{x} = x + 3 \\ = > 2x = x + 3 \\ = > 2x - x = 3 \\ = > x = 3[/tex]

Answer:

The answer is option d. X = 3

Can SOMEONE PLEASE HELP ME I DONT UNDERSTAND THIS PLEASEE ILL GIVE YOU BRIANLIEST

Answers

Answer:

sorry I also dont understand

(x, y) -> (x-2, y+1)
(-2, 1)

(x, y) -> (x+1, y+1)
(1, 1)

Find the slope and use the point to write an equation of the line in point slope form.

Answers

Answer:

y + 1 = [tex]\frac{1}{2}[/tex] (x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = [tex]\frac{0-(-1)}{0-(-2)}[/tex] = [tex]\frac{0+1}{0+2}[/tex] = [tex]\frac{1}{2}[/tex]

Using (a, b ) = (- 2, - 1 ) , then

y - (- 1) = [tex]\frac{1}{2}[/tex] (x - ( - 2) ) , that is

y + 1 = [tex]\frac{1}{2}[/tex] (x + 2) ← in point- slope form

10r = –50 solve for r

Answers

Answer:

10r=-50

r = -50/10

r = -5

.........

r would equal -50/10 and you would get -5

please help if possible does anyone know where to find the answers to this packet​

Answers

Answer:

This looks teacher made so i doubt you would be able to find this anywhere

Step-by-step explanation:

Could someone please help answer this, Thanks so much, please no spam, will give brainliest (homework help)

Answers

Answer:

b<-7

Step-by-step explanation:

3b+3<-18

subtract 3 on both sides

3b<-21

divide 3 on both sides

b<-7

Which line has a larger slope?

Answers

Answer:

the one on the right looks best for the slope because the slope is a lot larger than the one on the right the one on the right is smaller but a few inches few times I don't know you might want to check it before I actually answer it for you so I hope you found this kind of helpful thank you bye

Volume Of This Prism

Answers

Answer:

look at the photo i have sent

which angles are alternate ​

Answers

Answer:

POL  and KLO

Step-by-step explanation:

Alternate interior angles are between the parallel lines and on opposite sides of the transversal

NOL and MLO

POL  and KLO

Answer:

KLO and POL

Step-by-step explanation:

what is twelve billion three hundred forty two million sixty five in numbers

Answers

Answer:

12,342,000,065

Step-by-step explanation:

yeah-ya

A local business rents computer time for a $5 setup charge and $0.30 per minute the computer is used

Write an equation to represent the cost of using the computer for a given amount of
Us
time in minutes. Define your variables.

How much does 30 minutes of computer time cost?

Answers

Answer:

[tex]c = 0.3m + 5[/tex]

define the variables:

c is the cost and m is minutes

It costs $14

Step-by-step explanation:

[tex]c = 0.3m + 5[/tex]

To solve for cost substitute 30 in for m

[tex]c = 0.3(30) + 5[/tex]

multiply

[tex]c = 9 + 5[/tex]

add

[tex]c = 14[/tex]

Solve the equation below for y in terms of x.

(Slope Intercept Form, y = mx + b)

2y - 3x = 7

Answers


y=3/2x + 7/2
OR
y=3/2x + 3.5

first, write the equation: 2y-3x=7
When solving for y, you want to get the y by itself on one side of the equation. Start by adding 3x to both sides. it should look like:
2y = 3x + 7
Next, divide both sides by 2 to get the y by itself. now you have:
y= 3/2x + 7/2
there you have it!! however, if you want the y intercept (7/2) in decimal form, then it’s:
y=3/2x + 3.5
hope this helped!

Solve the equation. 6x+7=8x−15

Answers

x=11

Step-by-step explanation:

6x+7=8x-15

7+15=8x-6x

22=2x

x=22/2

x=11

Help please! I need help with my math question!

Answers

Answer:

cc

Step-by-step explanation:

Calculate the angle subtended by an arc whose length is 89.5cm and radius 12cm​

Answers

Answer:

Step-by-step explanation:

angle at the center

[tex]\theta=\frac{l}{r}\\where~l=length~of~arc\\r=radius\\\theta=\frac{89.5}{12}~radians[/tex]

15. Solve the compound inequality.
3x - 4 >5 or 1 - 2x 7
A X<-3 or x > 3
B x < -3 or x > 3
CX-3 or x <3
D x>-3 or x < 3

Answers

hope you like my answer its Letter D

What is thissss someone help

Answers

Answer:

1. Neither

2. Odd

3. Odd

4. Even

Step-by-step explanation:

Graphically, an equation is even if it is symmetrical across the y-axis.  An equation is odd if it is symmetrical after folded over y and x.  An equation is neither if it fulfills neither requirement.

Algebraically, an equation is even is f(x) = f(-x), and an equation is odd if f(-x) = -f(x).

Hope it helps :) and let me know if you want me to elaborate.

What kind of reward and sacrifices do you believe a doctor would have?

Answers

Answer:

As a doctor, you witniss pain and death on a daily basis (which can be tramatic). You also have peoples lives put in your hands, and if you fail them you must answer their legal caretakers and or family. Also lawyers in some cases. Law can be a con of being a doctor. It is easy to get a lawsuit against yourself in that job category. But the pros (good things) are that the pay is well, and if all goes right you get to save lives for a living. This job is also deemed a sophisticated one by most, gaining you scholarships, respect, etcetera.

The ratio of juice to water is 1:5. How much
juice is needed to make 24 liters of punch?

Answers

Answer:

5.8 liters

Step-by-step explanation:

24 divided by 5 becomes 5.8

PLEASE HELP ASAPPP -K-12-
What is the equation of the line in slope-intercept form?

y =
x +

Answers

Answer:

y = (3/5)x + 3

Step-by-step explanation:

(-5,0)

(0,3)

3/5 x + 3

When solving an equation using desmos, how many solutions do you have when a single vertical line crosses the x-axis?

Answers

Only 1 solution because you pass through the x-axis only once. Here is an example image below.

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