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

I will give brainliest!

Answers

1.2 which is 6/5 in fraction form

Answer:

1 13/15

Step-by-step explanation:

I use that too so I got it wrong to see what the answer was.

need help with this !

Answers

Answer:

(-2,14) Hope this helps! Have a great day!!!

Find the solution to the system of equations.
x + 3y = 4
2x + 5y = 12
A. (3.8)
B. (-8,4)
C. (16,-4)
D. (1.2)
E. (-1,-2)

Answers

Answer:

C (16,-4)

Step-by-step explanation:

16+3*-4=4

16+(-12)=4

16-12=4

4=4

2*16+5*-4=12

32+(-20)=12

32-20=12

12=12

A company used 7.4 x 105 sheets of paper a month, the accounting department used 8.9 x 103 sheets. How many were used by other departments during the month

Answers

Answer:

731,100

7.311 × 10^5

Step-by-step explanation:

The computation of the number of sheet used by other department is given below:

Given  that

The company used 7.4 × 10^5 sheets of paper So it would be 740,000  

And, The accounting department used 8.9 × 10^3 sheets so it would be 8,900  

Now the number of sheet used by other department is

= 740,000 - 8,900

= 731,100

= 7.311 × 10^5

Why is homework inportant?

Answers

Step-by-step explanation:

homework is like extra practice about what u had previously learned about that day

Please Help!!!
The 2 questions are attached below.

Answers

Answer:

C. 80

Step-by-step explanation:

Hope This Helps! : )

Graph this function: Y = x + 11 (you can just tell me the coordinates)​

Answers

The coordinates are (-11,0) (0,11)

Which expression is equivalent to 6/7 divided by 3/5 ?

A. 6/7 x 5/3

B 6/7 x 5/3

C 7/6 divided 3/5

D 5/3 divided 6/7​

Answers

Answer:

A.

Step-by-step explanation:

6/7  / 3/5   we invert the divisor and multiply:

= 6/7 * 5/3

I need help I will give you 15 points

Answers

It’s the first one because the parabola is open

Answer:

Middle answer is right

Step-by-step explanation:

The first answer is obliviously wrong so therefore it is the last two options

-(x+1)^2

= -(x^2+2x+1)

= -x^2-2x-1-3             (add the -3)

= x^2-2x-4

y intercept make x=0 therefore y=-4

AOS is x= -b/2a

x=2/2 which is 1

therefore it isthe middle answer

-10 + 4(3b + 10) = 19

And show work, please :)

Answers

Answer:

b= -11/12

Step-by-step explanation:

- 10 + 4(3b+10) = 19

-10 + 12b+40 = 19

40-10+12b=19

30+12b=19

-30          -30

12b= -11

/12     /12

b=  -11/12

In a team of 24 players, about 80% of the team was on the honor roll last quarter. How many students were on the honor roll?​

Answers

Answer:

19

Step-by-step explanation:

24 * 80% = 24*0.8 = 24* 8/10 = 24*4/5 = 96/5 = 19.2

round down becuase 0.2, or 20% of a person can not earn honor roll without suffering catastrophic organ failure.

Please help, I will give brainliest to whoever helps!

Answers

Answer:

Step-by-step explanation:

54.[tex]r=\sqrt{\frac{V}{πh} } =\sqrt{\frac{1256}{π100} } =2[/tex]\

55. H

56. A

Which is the approximate measure of angle ACB?
31.0°
36.9°
53.1°
59.0°

Answers

Answer:

53.1

Step-by-step explanation:

i just took the test

Answer:

53.10

Step-by-step explanation:

Help is needed, thank you so much!

Answers

Answer:

t=36

Step-by-step explanation:

54-18 = 36

Answer:

t + 18 = 54

Step-by-step explanation:

t + 18 = 54

subtract 18 from both sides

t = 36

The temperature during the night was 36 degrees

Hope that helps

50 POINTS!!! Nadeem is training for a bicycle race. On Monday, he bicycled for 30 minutes at 30 miles per hour. He rested for 10 minutes and then bicycled for 20 minutes at 36 miles per hour. Complete the table below and or draw the distance-time graph. (I JUST NEED THE GRAPH PART GIVING BRAINLIEST FOR BEST GRAPH)!!!

Answers

Answer:

your two points would be 30 minutes and 15 miles then 60 minutes and 18 miles

Markale sold his house for 175,000. If there is a 7% sales tax, how much money did he pay taxes

Answers

Answer:

12250

Step-by-step explanation:

what number multiples to 24 and adds to 10?

Answers

Answer:

4 and 6?

im not sure if you meant numbers

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST!!!

Answers

Answer:

The answer is B Hope this helps

Step-by-step explanation:

Mondays, Tuesdays, and Friday I will be given a warm-up and you are free to answer it with 5 sentences.

Kelsha is putting money into a savings account. She starts with $750 in the savings account, and each week she adds $30. Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Keisha has been adding money. Write an equation relating Sto W. Then use this equation to find the total amount of money in the savings account after 14 weeks.​

Answers

Answer:

s=750+30W, after 14 weeks she has 1170$

Step-by-step explanation:

Answer:

750+30w=s     750+(30*14)=1,170

Step-by-step explanation:

i think this is it

if jeff has 20 apples and mike has 18 apples how many aplles do they both have combined.

Answers

38 apples! 20 plus 18 is 38! Have a great day

I'll mark you brainliest if your correct​

Answers

Answer:

The answer is 7

Step-by-step explanation:

on the graph number 6 is spun at 7

ѕєє thє híght σf вαr αt 6!! whαt'ѕ thє hєíght? σвvíσuѕlч ít'ѕ 7

í hσpє чσu gєt ít :)

Use the long division method to find the result when 4x^3+23x^2 + 21x + 30 is
divided by x +5.

Answers

Answer:

A polynomial is an algebraic expression made up of two or more terms subtracted, added, or multiplied. A polynomial can contain coefficients, variables, exponents, constants, and operators such as addition and subtraction.

It is also important to note that, a polynomial can’t have fractional or negative exponents. Examples of polynomials are; 3y2 + 2x + 5, x3 + 2 x 2 − 9 x – 4, 10 x 3 + 5 x + y, 4x2 – 5x + 7) etc. Like number, polynomials can undergo addition, subtraction, multiplication, and division.

We saw addition, subtraction, multiplication, and long division of polynomials previously.

hope it helps make brainlliest ty

A number of dimes and quarters are worth $2.55. If the number od dimes and quarters were interchanged the resulting new amount would be $2.70. How many of each kind of coin were there before the interchange?

Answers

Answer:

8 dimes

7 quarters

Step-by-step explanation:

Let number of

Dimes = x ; quarters = y

10x + 25y = 255 ___(1)

25x + 10y = 270 ___(2)

From (1)

10x = 255 - 25y

x = (255 - 25y) / 10

x = 25.5 - 2.5y

Put x = 25.5 - 2.5y in (2)

25(25.5 - 2.5y) + 10y = 270

637.5 - 62.5y + 10y = 270

-52.5y = - 367.5

y = 367.5 / 52.5

y = 7

x = 25.5 - 2.5(7)

x = 25.5 - 17.5

x = 8

I need help with this ASAP. Can you tell me what goes in what box.​

Answers

Answer:

answers

Step-by-step explanation:

2 and 3rd

How many grams are 7.00 x 1022 molecules of NaOH?

Answers

Answer:

46.5

explanation

6.022*10^23 molecules=40g.

7.00*10^23=40*7.00*10^23/6.022*10^23 g =46.5 g

Mole measure the number of elementary entities of a given substance that are present in a given sample. Therefore, 4.65g  are  7.00 x 10²²  molecules of NaOH.

What is mole?

The mole is used to measure the quantity of amount of substance. It measure the number of elementary entities of a given substance that are present in a given sample.

we know one mole of any element contains 6.022×10²³ atoms which is also called Avogadro number

mole =given number of atoms ÷ 6.022×10²³(Avogadro number)

given number of atoms of NaOH= 7.00 x 10²² atoms

Substituting the values

mole=7.00 x 10²²÷ 6.022×10²³

mole =0.116 moles of NaOH

mass of NaOH= Molar mass of NaOH× moles of NaOH

= 40 × 0.116

= 4.65g

Therefore, 4.65g are  7.00 x 10²²  molecules of NaOH.

To know more about mole, here:

brainly.com/question/15209553

#SPJ2

Help please due in 45 minutes

Answers

Answer: B

Step-by-step explanation:

Noah uses 1/2 of a cup of vinegar in his salad dressing recipe. How much vinegar would Noah use to make 3 1/6 recipes? Write your answer as a fraction or as a whole or mixed number.

(Please help me)​

Answers

Answer:

1 7/12 cups

Step-by-step explanation:

1/2 x 3 1/6  =  1/2 x 19/6  =  19/12 or 1 7/12

For 1 he uses half cup

For 3 1/6 of the same recipe

He would use:-1/2*3 1/6

19/12 cup of vinegar

=1 7/12(Answer)

The perimeter of an equilateral triangle is 60 centimeters. The length of the altitude of the triangle is XV3 centimeters. What is the value of x? ​

Answers

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

Half of the triangle makes a 30°-60°-90° "special" triangle. We know the side ratios of that are 1 : √3 : 2. The long side is 1/3 of the perimeter, so is 60/3 = 20 = 10×2. Then the altitude is 10 times the middle ratio value: 10√3 ≈ 17.32.

Comparing this with x√3, we find x = 10.

Answer:

X = 25

Step-by-step explanation:

To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.

Perimeter of an equilaterial triangle = 3 * s

S = side length

Perimeter = 150cm

150 = 3s

S = 150 / 3

S = 50cm

The side lengths are 50cm each since they are all equal.

To find x,

We have to divide the triangle equally into two different part.

Check the first attachment for better illustration on how the equilaterial triangle is.

Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.

From the right angle triangle, we can use pythagorean theorem to solve for x

a² = b² + c²

a = 50cm

b = 25cm

c = x√(3)

50² = [x√(3)]² + 25²

2500 = x² * 3 + 625

2500 - 625 = 3x²

1875 = 3x²

X² = 1875 / 3

X² = 625

X = √(625)

X = 25

HOPE THIS HELPS

if so please give me a brainlist

name the solid figure formed by the net

Answers

Answer:

A

Step-by-step explanation:

Which graph represents the function f(x) = 4|x|?


Which graph represents the function f(x) = 4|x|?

Answers

It looks like a "V" going straight up from 0, and hits both 4 and -4 y while going up perfectly

The graph opens upward, and it has a vertex of (0,0)

What is vertex?

The vertex of an equation is the minimum or the maximum point on the graph of the equation

The equation of the graph is given as:

[tex]f(x) = 4|x|[/tex]

The above equation represents an absolute value function

An absolute value function is represented as:

[tex]f(x) = a|x -h| + k[/tex]

So, by comparison, we have:

[tex]a = 4[/tex]

[tex]h = 0[/tex]

[tex]k = 0[/tex]

This means that the graph opens upward, and it has a vertex of (0,0)

See attachment for the graph of [tex]f(x) = 4|x|[/tex]

Read more about absolute value functions at:

https://brainly.com/question/3381225

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