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

Each quadrilateral below is a parallelogram . find the missing measures .

Answers

Answer:

AD = 8

DC = 15

m∠A = 112°

m∠B = 68°

m∠C = °

Step-by-step explanation:

If we're working with parallelograms, we can assume that each line and it's opposite are perfectly parallel.

To find AD, all you need to do is look to the opposite line, BC. Since This is a parallelogram, AD = BC, so AD is 8.

To find DC, you do the exact same. Find the opposite line that it is parallel to, in this case that's AB, and since AB = DC, you know that DC = 15.

To find m∠A, let's look at m∠D. Since m∠D = is 68°, We can use that knowledge to find m∠A. Since the two angles are right beside each other on the same line, together they would equal 180° if you added them up. But since you don't know what m∠A is, you just have to subtract 68 from 180.

180 - 68 = 112.

To find m∠B, We simply look back to m∠D. Since m∠B is directly opposite to m∠D, That means they have the same value, 68°.

And finally, to find m∠C, we do the same thing we did to find m∠B. m∠C is directly across from m∠A - we have already found m∠A, and we know that it is 112°. Therefore, m∠C is 112° as well.

One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 140 nautical miles?

25,900 km

185 km

76 km

259 km

Answers

Answer:

259 km

Step-by-step explanation:

Butterfly method 100/185=140/???

185*140=25900

divide by 100

=295

When given a word problem, what should you always do to better visualize the problem?

Answers

Step-by-step explanation:

1.Read the Entire Word Problem.

2.Think About the Word Problem.

3.Write on the Word Problem.

4.Draw a Simple Picture and Label It.

5.Estimate the Answer Before Solving.

6.Check Your Work When Done.

7.Practice Word Problems Often.

according to the graph, what is the approximate average rate of change in the radius of the circle as the area increases from 3 square feet to 7 square feet?​

Answers

Answer: the answer is 0.125 foot per square foot

Step-by-step explanation:

10. Barbara puts $22 a week for 30 weeks in her savings account at the bank.
If she receives $4 interest for every $100 saved, how much money will
Barbara have after the 30 weeks?
$684
$660
B.
$636
$404

Answers

It would be $636 because 30 times 22 is 660 and since it’s $4 interest for every hundred you do 6 times 4= 24 and 660-24=636.

can someone help me with the working out please its due Tomorrow
No links please

1.) 9(p+q) + 3(p+q)


2.) 7p-q) + 4(p-q)


3.) 6(p+ q) - 4(p-q)


4.) 8(7x + 3y) + 4(5x + 2y)


5.) 9(5x + 3y) - 5(4x + 7y)


6.) 9(7x + 4y) - 8(3x + 7y)

Answers

1) 12p+12q 2) 11p-11q 3)2p-10q

Question 4 please help as fast as you can

Answers

Answer:

-4y+1

Step-by-step explanation:

One angle of a triangle measures 95° the other two angles are in a ratio of 7:10 what are the measures of those two angles

Answers

Answer:

35 degrees and 50 degrees

Step-by-step explanation:

The sum of all the angles in a triangle must be 180 degrees. So 180 - 95 = 85 leftover for the other two angles. Since we have a ratio of 7:10, we can add that up to get 17 total pieces of that 85-degree angle. 85 / 17 = 5, so each piece is 5 degrees. Therefore, the other two angles are 7*5 = 35 degrees and 10*5 = 50 degrees.


What is P(3 or divisor of 24)?

Answers

Answer:

P

(

sum

>

3

and

divisor of

24

)

=

7

18

Explanation:

Possible target sums that meet the given requirements:

XXX

{

4

,

6

,

8

,

12

}

Consider the possible die rolls that can give these sums:

sum

−−−−

xxx

first roll

−−−−−−−

second roll

−−−−−−−−−

4

1

3

2

2

3

1

6

1

5

2

4

3

3

4

2

5

1

8

2

6

3

5

4

4

5

3

6

2

12

−−

6

6

Giving a total of

14

out of a possible

36

combinations that meet the given requirements.

Step-by-step explanation:

what dose equal 8x3 it equals 24

Answers

Answer:

true

Step-by-step explanation:

3+3+3+3+3+3+3+3=24.

Mark me brainliest please ._.

Answer:

did u just answer ur own question

Step-by-step explanation:

A parabola has focus (5,1) and directrix y=-3.
Where is the parabola’s vertex?

Answers

Answer:

vertex = (5, - 1 )

Step-by-step explanation:

The focus and directrix are equidistant from the vertex

Since the equation of directrix is y = - 3 then the parabola is vertical,

The distance between the focus and directrix is

| 1 - (- 3) | = | 4 | = 2

Thus the vertex is 2 units below the focus

vertex = (5, 1 - 2 ) = (5, - 1 )

A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).

What is a Parabola?

A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.

As per the given information in the question,

The focus and directrix are equidistant from the vertex then,

The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:

|1 - (-3)| = |4| = 2

The vertex is therefore 2 units below the focus.

vertex = (5, 1 - 2) = (5, -1)

To know more about Parabola:

https://brainly.com/question/21685473

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help!!! (Brainlist!!!!!)

Answers

I think it’s B if not I can’t tell because I can’t see all the questions .

Answer:

Its A

Step-by-step explanation:

Irrational or rational -14.3

Answers

Answer:

It is an rational

Step-by-step explanation:

irrational becuase it is negative

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
3. Use the information about the m<2 and m determine the missing information.
m22 = 97°
m26 = 83°
m
2
5
m2 3 =
m2 5 =
3
4
7
8
m210 =
m2 7 =
9
10
13
14
m2 9 =
m216 =
$
11
12
15/16

Answers

Answer:

m<3 = 97

m<10 = 97

m<9 = 83

m<5 = 97

m<7 = 83

m<16 = 97

Step-by-step explanation:

m<3 = m<2 because of vertical angles

m<10 = m<2 because of corresponding angles

m<9 + 97 = 180

m<9 = 83

m<5 + 83 = 180

m<5 = 97

m<7 = m<6 because of vertical angles

m<16 = m<5 because of alternate exterior angles.

The diameter of a circle is 19 m. What is the circumference of the circle? Use 3.14 for pi.

Answers

Answer:

D) 59.66 m

Step-by-step explanation:

circumference = 19π = 59.66 m

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HELP I NEED HELP ASAP

Answers

Answer:

I think D

Step-by-step explanation:

I am not sure sorry

5(22–3)-3(x+4),
Which expression is the simplest form of
9
A.
72-3
9
72-27
B.
C.
132-27
9
D. 72 – 3

Answers

Answer:

342

Step-by-step expl\

5335=454

If 10 apples cost $8.95, how much will 4 apples cost?

Answers

Step-by-step explanation:

here's your solution

=> cost of 10 apple = $ 8.95

=> cost of 1 apple = $8.95/10 = $ 0.895

=> cost of 4 apple = $ 0.895*4

=> cost = $3.580

hope it helps

Please help! If you do you will get 'Brainliest'

Answers

Answer:

D is your answer.

Step-by-step explanation:

if you do 2 numbers to the right you get 3 and now the half would go in between 3 which would make your answer 3 and one half

Answer:

answer  (-1) because from a if u minus 2 1/2 u get (-1)

Pls answer quickly I only have a 1 hr left to submit this assignment and I’m so stuck on it

Answers

AB is the diameter of the circle because it cuts through the whole length of the circle!

Amare drops a probe into a lake. The elevation of the probe changes
by - 13 feet every second. The probe takes 50 seconds to reach
the bottom of the lake. How deep is the lake? Show your work .​

Answers

Answer:

13 x 50 = 650

Step-by-step explanation:

Answer:

75 ft

Step-by-step explanation:

solve the system of equations x+y=6 and y+3x=4

Answers

Answer:  x=-1, y=7. 1st eqaution=-1+7=6, 2nd eqaution=7+-3=4

A $30 sweater is on sale for 20% off at Kohls. The same $30 sweater is on sale at Macy's for $5 OFF the price. What is the difference in sale prices between the two stores
Which store has the sweater in the above question for the better price ?

Answers

Answer: You can save 15% or more on car insurance when you switch to Geico

Step-by-step explanation:

The difference in sale prices between the two stores is $4.5.

What is discount?

A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.

Given that, a $30 sweater is on sale for 20% off at Kohls.

Here, sales price = 30-20% of 30

= 30-20/100 ×30

= 30- 0.2×30

= 30-6

= $24

The same $30 sweater is on sale at Macy's for $5 off the price.

Here, sales price = 30-5% of 30

= 30-5/100 ×30

= 30- 0.05×30

= 30-1.5

= $28.5

So, difference in price = 28.5-24

= $4.5

Therefore, the difference in sale prices between the two stores is $4.5.

To learn more about the discount visit:

https://brainly.com/question/3541148.

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The number of bacteria, B, present in a culture after t minutes is given as B = 10ekt. If there are 3778 bacteria present after 7 minutes, find k.

Answers

Ybgvcvjjursxvnkoigfbbjkhfsx nmjgdsxcbnjmhhhiioooppp12444$+;)89764

An onion soup recipe calls for 3 2/3 cups of chopped onions. Katrina has already chopped 1 1/3 cups of onions. She wants to know how many more cups she needs to chop. Katrina still needs to chop cups of onion soup recipe calls for 3 2/3 cups of chopped onions. Katrina has already chopped 1 1/3 cups of onions. She wants to know how many more cups she needs to chop. Katrina still needs to chop cups of onions

Answers

Answer:

[tex]2\dfrac{1}{3}\ \text{cups}[/tex]

Step-by-step explanation:

Amount of chopped onions required = [tex]3\dfrac{2}{3}\ \text{cups}[/tex]

Amount of onions Katrina has already chopped = [tex]1\dfrac{1}{3}\ \text{cups}[/tex]

Amount of onions that are required to be chopped is given by

[tex]3\dfrac{2}{3}-1\dfrac{1}{3}\\ =\dfrac{11}{3}-\dfrac{4}{3}\\ =\dfrac{7}{3}\\ =2\dfrac{1}{3}\ \text{cups}[/tex]

Hence, the amount of onions that are required to be chopped is [tex]2\dfrac{1}{3}\ \text{cups}[/tex].

find the solution to the system of equations.

Answers

I got (-1,1) hope this helps

the circumference of a circle is about 48.042 yards. the circle's diameter is ___ yards.

use 3.14 for pi.​

Answers

Step-by-step explanation:

Given

Circumference of circle = 48.042 yards

diameter (d) = ?

we know

Circumference = πd

or, 48.042 = 3.14 * d

or, d = 48.042 / 3.14

Therefore d = 15.3 yards

The circle's diameter is 15.3 yards.

Hope it will help :)❤

48.042 divide by 3.14 = 15.3

diameter is 15.3 yards.

In illustrating combination question, during conference meeting there are 7 guests bumped their elbow instead of shake hand in greeting each of other to observe the health protocol ,and show the solution please...

Answers

dic Head bc you are slow and you asking Brainly for the answer

I just need to solve this: 5x^3=60x

Answers

If you are solving for the zeros it is -2sqr3, 0, 2sqr3

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HELP I NEED HELP ASAP

Answers

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the highest student changed the distribution by a lot

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