The 4th term of a sequence is 108. Each term after the first is three times the previous term. Write an expression that represents all 4 terms. Write an equation that represents the 4th term. What are the 4 numbers?

Answers

Answer 1

Answer:

First 4 terms are a, 3a, 3^2 a and 3^3 a.

The numbers are:

4, 12, 36, 108.

Step-by-step explanation:

This is a geometric sequence and we can write it as:

a, ar, ar^2, ar^3      <---- the first 4 terms.

Here the common ratio r = 3 and the 4th term is 108 so:

a(3)^3 = 108

So the first term a =  108 / 3^3

= 108/27

= 4.

So the second number = 3*4 = 12  and 3rd is 12*3 = 36.


Related Questions

What is 569 divided by 67.8

Answers

Answer: 8.39233038348

Step-by-step explanation:

Answer:

8.39233038348

Step-by-step explanation:

569/67.8=8.39233038348

What is the value of x?

Answers

Answer:

111

Step-by-step explanation:

You know the angle missing in the triangle is 69 (180-75-36). The angle on a line is 180. So 180-69=111.

OR

Add the two given angles to get 111 as 75+36+(180-x)=180 so if you subract (180-x) it leaves 75+36.

A sociologist polled a random sample of people and asked them their age and annual income. The two-way frequency table below shows the results. Annual income vs. age group Less than $50,000 At least $50,000 Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132 Total 186 162 348 Which of the following statements is true of those polled? Choose 1 answer: А A person with an annual income of less than $50,000 is more likely to be 45 years old or above. B A person in the 44 and under age group is more likely to to have an annual income of at least $50,000​

Answers

Answer:

C A person with an annual income of at least \$50{,}000$50,000dollar sign, 50, comma, 000 is more likely to be 454545 years old or above

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​ is a correct statement.

We have given that,

A sociologist polled a random sample of people and asked them their age and annual income.

What is the annual income?

annual income is the amount of money you receive during the year into your bank account, before any deductions.

The two-way frequency table below shows the results.

Annual income vs. age group Less than $50,000 At least $50,000

Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132

Total 186 162 348

A person with an annual income of at least

[tex]=\$50000\\=$50,000dollar[/tex]

Therefore statement b is true.

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​.

To learn more about the annual income visit:

https://brainly.com/question/6070671

#SPJ2

Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of gifts he bought.

Answers

Answer:

y = 9x

Step-by-step explanation:

You can set up linear equations like this: y = mx + b, where m is the slope or rate, and b is the y-intercept.

9 would be the slope, since he has to pay $9 per gift.

The y-intercept is when x = 0, but if he doesn't buy any gifts, he won't have to pay anything, so b = 0. You don't have to include it since it's 0.

So, it's just y = 9x

Hope that helps! :D

Answer:

easy

Step-by-step explanation:

which two fractions would make 1/8 plz help ​

Answers

Answer:

1/3 and 5/15

Step-by-step explanation:

. What part of an hour is your school lunch time?

Answers

Answer: It's from 11:02 till 11:35. hbu?

Step-by-step explanation:

I do it online and I be eating 24/7

whats 11/12+ 3 1/2 ASAP PLEASE

Answers

Answer:

4 5/12 or 4.4

Step-by-step explanation:

Answer:

4 5/12 or 53/12 or 4.4

Step-by-step explanation:

hope this helps : )

o. How much money is 8% of $15.00?

Answers

Answer: 1.2

Step-by-step explanation:  

To get 8% you have to do 8/100

that equals .08

Multiply .08 with 15 and it equals 1.2

Answer1.2:

Step-by-step explanation:

please help me!

Decrease £40 by 10%

Answers

Answer:

36

Step-by-step explanation:

40 * .10 = 4

40-4 = 36

I think it would be £36 but im not 10000% sure

Point B on the graph represents which phase of the business cycle?

A. Peak
B. Contraction
C. Trough
D. Expansion

Answers

Answer: trough

Step-by-step explanation: the study says this

Answer:

trough

Step-by-step explanation:

^

Draw the image 1/2 turn counter clockwise. (Please Help Me at this question will give uh brainliest)!!!​

Answers

Answer:

Step-by-step explanation:

Without the picture of the arrow I can't give an accurate answer. But, I'll try.

If the arrow is pointing like this -----> half turn counter clockwise should be with it pointing up.

If the arrow is pointing up, it should look like this <-----.

Do you get the idea?

Suppose you are constructing a LEGO Technic Land Rover Defender with a total of 2573 pieces. You have already put together 253 pieces. Every minute you add 5 more pieces. Is the relationship linear? How do you know?

Answers

Answer: Yes it is

Step-by-step explanation:

A linear relationship simply put, is a relationship between variables that when constructed, forms a straight line. This happens when y changes at a constant rate if x changes by a constant rate as well for instance, 1.

From this question, assume x is minutes and y is the total number of pieces put together. This means that every time x (minutes) increases by 1, y increases by 5 pieces.

The formula would look like this;

y = 5x + 253

This is a formula for a straight line so indeed, this relationship is linear.

Work out the length x.
Х
7.5 cm
16 cm

Answers

Answer:

x = 17.7

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]7.5^{2} + 16^{2} = x^{2}[/tex]

[tex]56.25 + 256 = x^{2}[/tex]

[tex]312.25 = x^{2}[/tex]

[tex]\sqrt{312.25} = x[/tex]

[tex]17.7 = x[/tex]

Pls answer 4 and 5 for brainly

Answers

Number 4 would be: C

And number 5 would be: C

Please Mark as Brainliest!!!

Answer:

Number 4 is c 1/6 and number 5 is also c

Step-by-step explanation:

I just divided 1 and 6 and got 0.1666

and did the same for the other one

pls mark brainliest

Plz can someone help me show work for these two problems!!

3x + y = 13

2x - y = -1

Answers

Answer:

3x +y = 13

Or, x=13-y/3......eqn(i)

Now putting the value of x

2x - y = - 1

Or, 2(13-y/3) - y = - 1

Or, 26 - 2y /3 - y = -1

Or, 26 - 2y - 3y = - 3

Or, 26 - 5y = - 3

Or, - 5y = - 3 - 26

Or,y = - 39/ (- 5)

Or, y = 7.8~

6/5 divded by (-3/2)

Answers

Answer:

Step-by-step explanation:

6/5 ÷ -3/2 = 6/5 x -2/3

-12/15 = - 0.08

Answer:

− 4/5   or     −0.8

Step-by-step explanation:

can someone please please help me? with a reasoning? :(

Answers

Answer:

a) 3x + y = -5 & b) y = 1/3 ( 21- 9x )

Step-by-step explanation:

a)

3x + y = -5

y = -3x -5

b)

y = 1/3 ( 21 - 9x)

y = -3x + 7

y = 3x + 2.5

the slop is to be same in the parallel lines. slop means m in ( y = mx + c )

so a) & b) are parallel lines. since their m is -3 .

make g the subject of the formula in w = 7 - sqrt g​

Answers

Answer: g = w² - 14w + 49

[tex]w=7-\sqrt{g}\\\\=> \sqrt{g} =7-w \\\\<=>g=(7-w)^{2}=49-14w+w^{2}[/tex]

Step-by-step explanation:

What is the domain and range please?

Answers

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

A couple plans to have two children. What is the probability that they have
exactly one boy?

Answers

Answer:

1/2

Step-by-step explanation:

Male and female having two children. The chance of having a 1 boy is 50%

2. Convert 25.2625° from decimal degrees to degrees-minutes-seconds.

Answers

Answer:15

Step-by-step explanation:

Which expression represents the total number of pages Saul has read, where W represents the number of the weeks since he first started reading

Answers

Y = 50 + 65w
It would be the second response

Answer:

Y = 50 + 65w

Step-by-step explanation:

please help. i am desperate. will mark brainliest if work is shown. please.

Use your calculator to find the smallest solution to -5e^(-4x+2)+3=1/2log(x^2+1) and describe the steps you used. Round your answer to three decimals.

Answers

please dont count on me but 0.23856062736

Plz help jfkdjdjdjdjd

Answers

Answer:

12

Step-by-step explanation:

MARK BRAINLIEST plz

Answer is E. 38. Hope this helps!!!

HURRYYYYY
Which system of linear inequalities is graphed?

Answers

I would have put C. Because if you look at the triangle it makes then do the math with squared numbers then you should get c.  

Johny and Rahul divided the benefit of the business in the ratio 7:9. If
Rahul got 4878 rupees as benefit did Johny get?

Answers

Answer:

Step-by-step explanation:

7:9 = x:4878

4878/9 times 7

3794 would be your answer

Answer:

3,794 rupees

Step-by-step explanation:

Johny got 7 parts of the benefit while Rahul got 9. This can be represented as a fraction: 7/9

To solve this problem, we can use cross multiplication, where x represents the amount of rupees Johny got:

[tex]\frac{7}{9}[/tex] = [tex]\frac{x}{4878}[/tex]

Multiply 7 by 4,878: 34,146

Multiply 9 by x: 9x

Now the equation looks like this:

9x = 34,146

Divide both sides of the equation by 9 to isolate the x:

9x/9 = 34,146/9

x = 3,794

Johny got 3,794 rupees.

The solution of the equation is x= .

Answers

The answer to your question would be X=1

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Step 1:  Cross-Multiply

What cross multiply basically means is that you take both sides of the equation and you multiply my the opposite sides.  So you take the top of the left fraction and multiply it by the bottom of the right fraction.  You then have an equal sign and then have the bottom of the left fraction multiplied by the top of the right fraction.

[tex]\frac{2}{7}=\frac{6x}{4x+17}[/tex]

[tex]2(4x+17)=7(6x)[/tex]

Step 2:  Distribute

[tex]2(4x+17)=7(6x)[/tex]

[tex](2*4x)+(2*17)=(7*6x)[/tex]

[tex]8x+34=42x[/tex]

Step 3:  Subtract 8x from both sides

[tex]8x + 34- 8x = 42x - 8x[/tex]

[tex]34=34x[/tex]

Step 4:  Divide both sides by 34

[tex]34/34 = 34x/34[/tex]

[tex]1=x[/tex]

Answer:  [tex]x=1[/tex]

Find the greatest common factor (GCF) for each number set. 56,63
1. 1
2. 6
3. 7

Answers

The greatest common factor is 7 .

tell me if I'm correct...im not sure....thanks
....first person gets brainliest
itz 4 maths homework​

Answers

Answer:

Genuilly I think you’re correct

sorry if it wrong

but, it looks correct and I think it’s correct


(a) (sin A + sin B) (sin A-sin B)

Answers

Answer:

Sin^2A-sin^2B

Step-by-step explanation:

(sin A + sin B) (sin A-sin B)

=SinA(sinA-sinB)+SinB(sinA-sinB)

=Sin^2A-sinAsinB+sinBSinA-sin^2B

=Sin^2A-sin^2B

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