(04.06 LC)
Identify the type of sequence shown in the table below and select the appropriate response. (5 points)

n f(n)
1 48
2 −96
3 192
4 −384
5 768
a
Arithmetic sequence; common difference is 96

b
Arithmetic sequence; common difference is −144

c
Geometric sequence; common ratio is 3

d
Geometric sequence; common ratio is −2

Answers

Answer 1

Answer:

d Geometric sequence; common ratio is −2

Step-by-step explanation:

Identifying Sequences

There are two possible types of sequences to choose from, Arithmetic and Geometric.

The arithmetic sequences are identified because each term is obtained by adding or subtracting a fixed number to the previous term. This number is called the common difference.

In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

The given sequence is:

48, -96, 192, -384, 768,....

To identify the type of sequence, we could try subtracting the second term from the first, the third from the second, etc. If those differences were constant, it would be an arithmetic sequence.

In this case, it's not necessary because the sign of the terms is alternating. It can only be possible with geometric sequences with a negative common ratio.

Dividing the second by the first term:

r = -96 / 48 = -2

Dividing the third by the second term:

r = 192 / -96 = -2

The rest of the divisions of successive terms lead to the same common ratio, thus, the answer is:

d  Geometric sequence; common ratio is −2


Related Questions

can someone please help me

Answers

Answer:

a. h(t) = 5t + 10

b. 70

c. h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.

Step-by-step explanation:

a. Since the elevator is already 10 feet of the ground, u have to add that in the equation. And since it's 5 feet per second, 5 will be a multiplier so:

h(t) = 5t + 10

b. We have the equation already and in the equation it said that "t" represents the seconds so just replace 1 with 12:

h(12) = 5(12) + 10

h(12) = 60 + 10

h(12) = 70

c. Refer to b that we just did if u will, "t" represents seconds so h(t) becoming h(5) means 5 seconds. So h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.

Help with 10 c). Plssss

Answers

Answer: It’s B or E I would go with id say E

Step-by-step explanation:

Jack added 6.5 sales tax to the price, , of a new cell phone. What is another way to find the total cost of the cell phone?

Answers

Anwser:


Well first of all, I would need the original price of the cell phone to calculate this, so yeah

Solve *
(7 Points)
9a + 28 = 4a +3
A -30
B 20
C 6.2
D -5

Answers

Answer:

D -5

Step-by-step explanation:

9+28−28=4+3−28

9=4−25

9−4=4−25−4

5a=−25

5

=

2

5

5a=-25

5a=−25

5a/5

=−25/5

a=-5

i'll mark you as brainliest ​

Answers

Answer:

y=x-4

Step-by-step explanation:

We can see that x is always 4 times larger than y or y is always 4 times less than x

This means that y=x-4

Answer:

The Answer Is "y = x - 4"

Hope This Helped :)

Sue made a quilt pattern from 16 congruent pieces of cloth shaped like isosceles right triangles. She cut the pieces so that the legs of each triangular piece are 6 inches
long

Answers

Answer:

Option (D)

Step-by-step explanation:

Sue made a quilt pattern comprising 16 congruent isosceles right triangles.

She cuts the pieces of triangle having each leg = 6 inches

By applying Pythagoras theorem in isosceles triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

x² = 6² + 6²

x² = 72

x = √72

x = 8.485

x ≈ 8.5

Option (D) will be the correct option

Answer:

The answer is D. (8.5)

Step-by-step explanation:

It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs.​

Answers

Answer:

[tex]2x+y\geq 20[/tex]

Step-by-step explanation:

Given that total points required to make the playoffs = 20 points

As there is 2 points for a win,

so points earned for x win = 2x

Similarly, as there is 1 point for a tie.

so points earned for y ties = 1[tex]\times[/tex] y= y

Total points earned for x win and y ties = 2x+y

As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so

[tex]2x+y\geq 20[/tex]

Hence, the required equation is [tex]2x+y\geq 20[/tex].

Of the 50 students in Mr.Mitchell’s classes, 60% are girls.On Friday, 20% of the girls in the class wore jeans.How many girls wore jeans

Answers

Answer:

6 girls

Step-by-step explanation:

60/100 x 50 = 30

30 girls in class

20/100 x 30 = 6

6 girls are wearing jeans

working on a song for someone I used to love
I'll go through all of the realities to find you
(If I need you)
Just so I can hold your hand...
Even if they think it's fake...
I want you to understand
that there's a certain miss
and a certain love
and a heartache in my chest
every time i hear your name
and im still lying in my bed
without you....

Answers

Answer:

wowww!! it's very sad and wonderfull

does anyone know how to do this

Answers

is this something along the lines of SSA SAS things like that? i can look back in my notes and see if this is what you’re learning

х- 1, 2, 3 ,4
y-20, 18,-7, -2.
James modeled the data with a linear best-fit equation. Which X-value
has the largest residual?
A 1
B. 2
C. 3
D. 4​

Answers

I think it’s C, good luck

Hannah finds that the amount of time she spends studying for her history tests affects her grade on the test. Which statement describes the relationship Hannah is observing?

Answers

Answer:

Step-by-step explanation:

There are not statements. But...

If she studies more her grade is better.

The more she studies, the more her grade goes up.

The less she studies, the more her score goes down.

Just some guesses for you. Match up with your statements.

Hannah is observing he following relation {G} [tex]$\alpha[/tex] {1/T}

What is a mathematical function, equation and expression?          

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is that Hannah finds that the amount of time she spends studying for her history tests affects her grade on the test.

Let the amount of time she spends studying for her history tests is denoted by the variable {T}.

Let her grade is denoted by the variable {G}. So, we can write -

{G} [tex]$\alpha[/tex] {1/T}.

Therefore, Hannah is observing he following relation -

{G} [tex]$\alpha[/tex] {1/T}.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ5

355 divided 14 hiksdjkndndf

Answers

Answer:

Rounded to the nearest whole number is 25

How could the formula for perimeter be rearranged to find the length of the playground?

Answers

P = 2l + 2w
p - 2w = 2l
l = p-2w/2
It would be the third response

Answer:

The third option

Step-by-step explanation:

the formula is basically reversed, you can check it yourself by giving the W and L fake values then execute the first formula then the second formula and you will receive the value of your length as your answer

How do I solve this and check all the solutions?

Answers

Answer:

x = 2

Step-by-step explanation:

(Square both sides)

20 - 8x = x^2

(Solve 20 - 8x = x^2)

x = 2 , x = 10

x = 10 is false, so the answer is x = 2.

Answer:

x=2

Step-by-step explanation:

√20-8x=x

2√5-2x=x (by simplfing redical expression)

4(5-2x)=x^2 (square both side)

20-8x=x^2

20-8x-x^2=0

-x^2-8x+20=0

x^2+8x-20=0

x=2

Note:There is a another answer x=-10 But it's wouldn't fit out with this equation

I need help please!!!!

Answers

Answer:

a. 10%

b. 80%

c. 20%

Step-by-step explanation:

Hope this helps!

What is the image of the point (0, -1) after a rotation of 180° counterclockwise
about the origin?

Answers

Step-by-step explanation:

(x,y)=(-x,-y)

(0,-1)=(-0,1)

A litter of puppies had 2 white puppies and 5 brown puppies. What percent of white puppies are in the litter? Round to the nearest whole number

Answers

Answer:

29%

Step-by-step explanation:

0.28571428571 as an approximate percent is 29%. There are 2 white puppies and 7 total puppies(2 white + 5 brown)

Hope this helps!

Answer:

29%

Step-by-step explanation:

0.28571428571 is the original number which makes 29%

Hope this helps! Have a great day :)

There are 4 tablespoons in cup. There are 2 cups in 1 pint. How many tablespoons are there in 1 pint?

Answers

Answer:

there are 32 tablespoons in 1 pint .

Step-by-step explanation:

beacause i asked siri .

Mia pays $178 every 4 months for her piano lessons. At this rate, how much will Mia pay for 3 years of piano lessons?

Answers

Answer:

I think the answer is 734.

Step-by-step explanation:

You do $178 x 4 months = 716

716 x 4 years is 734

Mia pays $178 every 4 months.
So Mia pays $178 3 times in a year.
How much will Mia pay for 3 years of piano lessons.

178 x 3 = $534 = The 1st Year
178 x 3 = $534 = The 2nd Year
178 x 3 = $534 = The 3rd Year

$534 x 3 = $1,602

For 3 years of piano lesson Mia pays $1,602.

Pls I Need Help Fastttt

Answers

Answer:

2

Step-by-step explanation:

Your answer will be (a)

Elizabeth can type 250 words in 5 minutes. What are the units?
Your answer

Answers

Answer: 50 words per minute

Step-by-step explanation:

250 words per 5 minutes DIVIDE BOTH NUMBERS BY 5

50 words per 1 minute

Solve by factoring. Check your answer.
[tex]x^2-4x=0[/tex]

Please show all your work and explain all steps. Thanks :)

Answers

To factor, you split the equation so the factors multiply to get the whole equation.
(x-2)(x+2)

Then, interpret the factors.
The zeros can be found at (2,0) and (-2,0).
x=2, x=-2

Answer:

[tex]x=0,4[/tex]

Step-by-step explanation:

Factor out the common terms from the given terms:

[tex]x^2-4x=0[/tex]

You can factor out x from both:

[tex]x(x-4)=0[/tex]

Rewrite, setting each equal to 0:

[tex](x)(x-4)=0\\\\x=0\\\\x-4=0[/tex]

Simplify the second equation by solving for x:

[tex]x-4=0\\\\x-4+4=0+4\\\\x=4[/tex]

Therefore, x=0 or x=4

:Done

А A
B
D
If m_ABD = 64°, and mZCBD = 30°,
then m ABC = [?]°

Answers

Answer:

34 degrees

Step-by-step explanation:

If ABD = 64, and CBD is 30, we can use PWP( Part Whole Postulate)

Step 1.CBD + ABC = ABD

Step 2. Substitute

30 + ABC = 64

Step 3. Isolate ABC

34 = ABC

ABC is 34 degrees

9514 1404 393

Answer:

  34°

Step-by-step explanation:

It should be fairly intuitive that the two smaller angles add to give the value of the larger one. (Even if it's not, the angle sum theorem tells you this is true.)

  ∠ABC + ∠CBD = ∠ABD

  ∠ABC + 30° = 64°

  ∠ABC = 34° . . . . . . . . . subtract 30° from both sides of the equation

I need hep with the range

Answers

Answer:

[-7, 6]

Step-by-step explanation:

The range is the y values that the equation/line covers.

The line's lowest point is -7 and the line's highest point is 6. The value is defined at both -7 and 10 since there is a closed circle in both locations- so we use brackets.

please someone help asap i will give brainliest

Answers

Answer:

Step-by-step explanation:

c≥ -1.95

[-1.95,∞)

solid circle on -1.95 and go right

If the circumference of a circle and the perimeter of a square are equal, then
(a) Area of circle = Area of the square
(b) Area of circle > Area of the square
(c) Area of circle < Area of the square
(d) Nothing definite can be said about the relation between the areas of the circle and square​

Answers

Answer:

nothing definite can be said and square

Answer:

option no b is correct area of circle>area of square.

Step-by-step explanation:

5. What is the equation of a line that is perpendicular to -x + 2y = 4 and passes through the point (-2,1)?
a.
Write the equation -x + 2y = 4 in slope-intercept form
b. Identify the slope of the line represented in part a.
C.
What is the slope of the line perpendicular to the line in steps a and b?
d. Write the equation of the perpendicular line in slope-intercept form.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]-x + 2y = 4[/tex]

a) writing the equation in the slope-intercept form

We know that the slope-intercept form of the equation of the line is

[tex]y=mx+b[/tex]

where m is the slope of the line

so writing the equation in the slope-intercept form

[tex]-x + 2y = 4[/tex]

[tex]2y=4+x[/tex]

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

b) Identify the slope of the line represented in part a

As the equation in slope-intercept form is

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

Here,

m = slope = 1/2     ∵ [tex]y=mx+b[/tex]

c) What is the slope of the line perpendicular to the line in steps a and b

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

As the slope = 1/2

So the slope of the perpendicular line will be: -2

d. Write the equation of the perpendicular line in slope-intercept form.

Therefore, the point-slope form of the equation of the perpendicular line that goes through (-2,1) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -2 and the point (-2,1)

[tex]\:y-1=-2\left(x-\left(-2\right)\right)[/tex]

[tex]y-1=-2\left(x+2\right)[/tex]

Add 1 to both sides

[tex]y-1+1=-2\left(x+2\right)+1[/tex]

[tex]y=-2x-3[/tex]

In a survey of 2,700 people who owned a certain type of​ car, 1,485 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car

Answers

Answer:

35%

Step-by-step explanation:

Please help!!!!!!!!!​

Answers

Answer:

1/8 or 0.125

Step-by-step explanation:

hope this helped

Multiply the first top and the lower part together
3 x 1 x 7 = 21
7 x 3 x 8= 168
21/168 => 1/18
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