The first 4 terms of a geometric sequence are 2, 6, 18, 54. Part A: Find the common ratio. Remember the common ratio is the number that is multiplied to each value to get the next number. Part B: Find the next 3 values in the geometric sequence Come up with your own geometric sequence and identify the common ratio.

Answers

Answer 1

Answer:

Common ratio is 3

The three terms are 162, 486, 1458

Step-by-step explanation:

Given: The first 4 terms of a sequence are [tex]2,6,18,54[/tex]

To find:

A. the common ratio

B. the next 3 values in the geometric sequence

Solution:

Geometric sequence is a sequence in which each of the terms is obtained by multiplying the previous term by a fixed number.

A.

[tex]\frac{6}{2}=3\\\\\frac{18}{6}=3\\\\\frac{54}{18}=3[/tex]

So, the common ratio is [tex]3[/tex]

B.

The next three values are as follows:

[tex]54(3)=162\\162(3)=486\\486(3)=1458[/tex]


Related Questions

What's the Lateral Surface Area?
What's the Surface area

Answers

Answer:

The lateral surface of an object is all of the sides of the object , except/excluding its base and top.

I think I am correct I might sure I read it somewhere

by this explanation I guess you know your answer

have a nice day

#Captainpower

QUESTION 1
Find the slope of a line through the points (7, –8) and (–5, –7).

a -12
b-15/2
c -2/15
d -1/12

Answers

Answer:

D

Step-by-step explanation:

Slope = y2-y1/x2-x1

(7,-8) = (x1,y1)

(-5,-7) = (x2,y2)

Slope = (-7+8)/(-5-7)

          = 1/-12

A news channel on cable T.V. polled politicians on an issue to find out who agreed with a court decision. This is the graphic they used in their report.
Results by Party
A graph titled Results by Party has Political party on the x-axis, and Percent who agreed on the y-axis, from 53 to 63 in increments of 2. Democrats, 62; Republicans, 54; Independents, 54.
Source: mediamatters.org

What makes this graph misleading?

a.
The horizontal scale only shows three parties. It needs to show every party.
b.
The vertical scale is too broad. It needs to focus in on a narrower range.
c.
The horizontal scale exaggerates the differences between the parties.
d.
The vertical scale is too narrow. It needs to be a wider range, such as 0 to 100.



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer: d.  The vertical scale is too narrow. It needs to be a wider range, such as 0 to 100.

Step-by-step explanation:

The vertical scale is indeed too narrow. It needs to have a wider range that will enable a person who is looking at the graph, better compare the results shown because the magnitude of the number will be more apparent.

A range such as 0 to 100 would be ideal for this and would present the information in such a way that when a person looks at the graph, they understand the relative difference between the percentages who agreed with the court decision.

Can anyone help me on this math test real quick here is one of the questions!!

Answers

Answer:

D. 9/16

Step-by-step explanation:

3/4*3/4=9/16

Answer:

9/16

Hope this helped you!

A line passes through the points (4,23)and(8,27) Write a linear function rule in terms of x and y for this line.

Answers

Answer:

4/23 8/27

Step-by-step explanation:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{v} \huge\mathfrak\green{e} \huge\mathfrak\orange{↷}\ [/tex]
[tex]2 + 2 \times 25 = ?[/tex]
[tex] \huge\mathfrak\pink{A} \huge\mathfrak\purple{n} \huge\mathfrak\blue{s} \huge\mathfrak\red{w} \huge\mathfrak\green{e} \huge\mathfrak\orange{r?}\ [/tex]​

Answers

Answer:

Step-by-step explanation:

[tex] \huge\mathfrak\pink{A} \huge\mathfrak\purple{n} \huge\mathfrak\blue{s} \huge\mathfrak\red{w} \huge\mathfrak\green{e} \huge\mathfrak\orange{r:}\ [/tex]

[tex]2 + 2 \times 25 [/tex]

=52

the solutin and the answer rate pls i

2x2=4

4x24=100  

Name an angle of

A) 40°

Answers

Answer:

acute angle

AB is 40°

and ED is also 40°

Step-by-step explanation:

Have a nice day!

That is an acute angle

A prism is filled with 28 cubes with 1/2 unit lengths. What is the volume of the prism in cubic units?

Answers

Answer:

3.5 cubic units

Step-by-step explanation:

First, find the volume of one cube

Use the cube volume formula, V = s³, where s is the side length

V = (1/2)³

V = 1/8 cubic units

Now, find the volume of the prism by multiplying this by 28, since there are 28 cubes

28(1/8)

= 3.5

So, the volume of the prism is 3.5 cubic units

solve the following quadratic by factoring: 6x^2-12x=0

Answers

Answer:

X=0,-2

Step-by-step explanation:

6 x ( x + 2 ) = 0 Divide each term in 6 x ( x + 2 ) = 0 by 6 . 6 x ( x + 2 ) 6 = 0 6 Cancel the common factor of 6 .  x ( x + 2 ) = 0 6 Divide 0 by 6 . x ( x + 2 ) = 0 If any individual factor on the left side of the equation is equal to 0 , the entire expression will be equal to 0 . x = 0 x + 2 = 0 Set the first factor equal to 0 . x = 0 Set the next factor equal to 0 and solve. Tap for more steps... x = − 2 The final solution is all the values that make 6 x ( x + 2 ) 6 = 0 6 true. x = 0 , − 2

complete the table, vertex, and max or min. <3

Answers

Answer:

Step-by-step explanation:

The function describes a parabola

for find the value of y we have to substitute the value of x in the function

x = -1

y = (-1-2)^2 =9

(-1;9)

x = 0

y = (0-2)^2 = 4

(0;4)

x = 1

y = (1-2)^2= 1

(1;1)

x = 2

y = (2-2)^2 = 0

(2;0)

x= 3

y = (3-2)^2 = 1

(3;1)

for the second part we can solve the square of the binomial

y = x^2 -4x + 4

direction of opening : we have to see if the term that multiply x^2 is positive or negative. In this case is not expessed so it is 1, a positive number.

So the direction of opening is : upwards

line of symmetry: -b/2a where b is the term that multiply x and a the term that multiply x^2

x = 4/2 = 2

vertex: the x - coordinate of the vertex is the same of the line of symmetry

so x = 2

for find the y - coordinate we have to substitute the value of x in the equation

y = 4 - 8 + 4 = 0

vertex = (2;0)

the parabola has an upwards direction of opening so it has a point of minimum that is the vertex itself.

minimum of 0

2(x+2)-7=6x-4(1+x) solve for x

Answers

Answer:

x has no solution

Step-by-step explanation:

2x+4-7=6x-4-4x

2x-3=2x-4

-3=-4

Answer:

No solution

Step-by-step explanation:

2(x+2) -7 = 6x - 4(1+x)                  (Distribute 1st)

2x + 4 - 7 = 6x - 4 - 4x

2x - 3 = 2x - 4                         (Combine like-terms)

2x - 2x = -4 + 3

0 = -1

No solution

Two truths and one lie tell me what the truths are and the lie please

Answers

Answer:

A is a lie

B and C are both truths

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

The student did this problem wrong, explain what is wrong and fix their mistake to give me the correct answer.

Please help me haha​

Answers

Answer:

GK parallel to HJ

F is the midpoint

GF =FJ (bisectors)

Answer:

haha

Step-by-step explanation:

Please help ...................!

Answers

Don’t go to that link it’s not going to give you the answer

Express ln 32-ln 8 as a single logarithm

Answers

Answer:

its ln 4, A as seen in the image.  

I might be wrong sry?

Can someone help me please

Answers

Answer:

Y-intercept= (0,-1), Slope= -1

Step-by-step explanation:

PLEASE HELP GUYS I NEED IT BADDDD

Answers

Answer:

its 110 u have to do 11x10 i think if i remember

Step-by-step explanation:

Given the diagram, solve for the blanks below:

Answers

Answer:

AC》12

FC》6

Step-by-step explanation:

hope it helps..

have a great day.

In the equation below a is a number between 0 and 1 8 x a = b which statement about the value of b is always true

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]0 \le a \le 1[/tex]

[tex]8*a =b[/tex]

Required

Determine the true statement about b

The question is incomplete as options are not given. However, a general explanation is as follows:

Rewrite [tex]8*a =b[/tex]

[tex]b = 8 * a[/tex]

When a = 0

[tex]b = 8 * 0 = 0[/tex]

When a = 1

[tex]b = 8 * 1 = 8[/tex]

This means that:

For [tex]0 \le a \le 1[/tex]

Then [tex]0 \le b \le 8[/tex]

This means that: b is a number between 0 and 8

Find the length of the third side. If necessary, round to the nearest tenth. 3 6​

Answers

Answer: 6.7

Step-by-step explanation:

a^2+b^2=c^2

36+9=45

Sqrt of 45 approx 6.7

ABC News reported graduation rates have increased 35%. Which fraction is equivalent to this amount of increase?

Answers

Answer:

27/20 or [tex]1\frac{7}{20}[/tex]

Step-by-step explanation:

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.

The numerator is the number above. While the denominator is the number below

an example of a fraction =  

4 is the numerator while 5 is the denominator

If graduation rates rose by 35 percent, the increase would be 100% + 35%

Since the increase is in percentage form, to convert to fraction, divide the total increase by 100.

[tex]\frac{135}{100}[/tex]

to express in its simplest form, divide both numerator and the denominator by 5

[tex]\frac{27}{20}[/tex]

the above fraction can also be expressed as a mixed fraction = 1 [tex]\frac{7}{20}[/tex]

Simplify:
(31 - 11) + 5+2x4
Submit

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 33

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

¿en q caso la canica recorre mayor distancia?​

Answers

Una canica moviéndose por un pavimento no es un objeto que desliza sobre la superficie, en realidad gira. ... Ahora pasamos a un suelo enlosado, con una rugosidad evidente, aún así el rozamiento es menor que antes y por eso la canica recorre una distancia mayor.

2a−1/2
please help me :(

Answers

Answer:

this is unsolvable i think

Step-by-step explanation:

2. Which number line shows all the values of x that make the inequality -3x+1​

Answers

Answer:

Option. B

Step-by-step explanation:

Maisy hiked for 5 hours and burned 750 calories. She wants to find out how many calories she burned per hour, so she wrote the equation 5x=750 , where x represents the number of calories Maisy burned per hour. How many calories did Maisy burn in one hour?

Answers

Answer:

x = 150

Step-by-step explanation:

Given that,

The equation that is used to find out how many calories she burned per hour, the equation is as follows :

5x = 750

We need to find how many calories did Maisy burn in one hour.

For 1 hour use unitary method such that,

x = (750/5)

x = 150

So, she can 150 calories in one hour.

Can anyone please help with my last math problem pls all of my assignments gotta be turned in by tonight so I would really appreciate help!

Answers

5 points is not enough

Answer:  D is the answer.

Step-by-step explanation: 5/1 multiplied by 7/10 equals 35/10.  After simplifying it is 3.5 inches squared.

Congratulations! You won a free grill in a sweepstakes! You know that you can fit a rectangular grill in your truck that has a width of 2 1/2 feet. The length of the grill can be up to three times the width. What is the largest possible perimeter your new grill can have to fit in your taco truck? Show your work.

Answers

Answer: 20 feet perimeter is the largest allowed

Step-by-step explanation:  width=2.5 length=no more than 3x2.5

so find longest possible length allowed...

2.5x3=7.5

calculate largest perimeter allowed...

2(7.5+2.5)=20

Complete the table
Sale Price $65.60
Percent of Discount ( blank)
Original Price $82

Answers

Answer:

percent of discount= 20

20 is your answer have a great day

I need help with number 4, thank you

Answers

Answer:

126

Step-by-step explanation:

In number 4 the given figure is a parallelogram,

So,

Base of the parallelogram = 14

Height of the parallelogram = 9

Therefore,

Area of the parallelogram = Base × Height

= 14 × 9

= 126

Hence, area of figure in question no. 4 is 126 (Ans)

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