What is the common difference of the sequence 8, 4, 0, -4, -16?

Answers

Answer 1

[tex]\large \mathfrak{Solution : }[/tex]

Common difference of an Arithmetic progression can be found out by subtracting the preceding term from that given term.

i.e

[tex]common \: \: difference = 4 - 8[/tex][tex]common \: \: difference = - 4[/tex]

therefore, the common difference of the above Arithmetic progression is -4 .


Related Questions

Solve the proportion. 4/9 = 13/x

a. 2.77
b5. 78
c. 29.25​

Answers

c. 29.25 because its 29.25

which is parallel to the line y = -5/8x+6

Answers

Answer:

The answer lies in the gradient.

Step-by-step explanation:

The gradient in this equation is -5/8. If any line has the same gradient as the equation above they are parallel because they have the same slant or tilt. Gradient determines if a line is parallel between linear line graphs. If the gradient between two linear line graphs are equal that means that they are parallel.

First identify what is the gradient of a line. The gradient is usually the number that is multiplied with x. In this case (-5/8x), -5/8 is the gradient.

Hope this help.

Otis has $6.72, and he wants to buy some pencils that cost $1.12 each. How many pencils can he buy?
4 pencils
5 pencils
6 pencils
7 pencils

Answers

Answer:

Otis can buy 6 pencils...

Answer:

Otis has $6.72, and he wants to buy some pencils that cost $1.12 each. How many pencils can he buy?

4 pencils x

5 pencils x

6 pencils :D

7 pencils x

Step-by-step explanation:

6 pencils

solve (-2x) x 8x
its a simple question no equations just solve it its a quadratic expression

Answers

Answer:

-16x²

Step-by-step explanation:

-2x*8x= -16x²

7. Find the perimeter of the figure.
x+12
x + 2

Answers

Answer:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.

Please help me with number 4.

Answers

The answer to your question is C

Can someone help me.....​

Answers

Answer:

The square root of 2 is between 1 and 2, so radical 2 is about 1.4.

Step-by-step explanation:

You can plot a 1 on the very left and a 2 on the very right of the number line.

Since there is no formal square root of 2, you have to estimate.

It has to be less than 2 because if you multiply 2 * 2 you get 4 and that's too big; we want to get 2.

It also has to be greater than 1 because 1 * 1 = 1 and that's too low.

I would estimate it to be right before the middle line.

What percentage of households in the survey have four or more televisions?

Answers

Answer:

2.5% ?

Step-by-step explanation:

.025 as percentage is 2.5%

the measure of the angles of a triangle are shown in the figure below. solve for x.

Answers

Answer:

X = 23

triangle angles sum = 180

67 + 49 + (3x-5) = 180

3x + 111 = 180

3x = 69

x = 23

Multiplication of -2 , -7 and -10 gives

Answers

Answer:

it gives you -140 if you multiply all of them

Answer:

-140

Step-by-step explanation:

–2×-7= 14

minus Minus cut so 14 will be Positive no

then, 14×-10=-140

plus minus = Minus

so,

-140 is the answer

mark me brainliest if I am correct

how long does it take for a car to travel 30 km at 20 km/hr

Answers

Answer:1.5

Step-by-step explanation:

Answer:

1 hour and a half

Step-by-step explanation:

time = distance ÷ speed

= 3/2 hours

please help thanks help asap

Answers

Because it will reflect around the y axis it will be the same exact number of the x1 but in opposite X= -4

Given: g(x) = -3x + 5x and h(x) = 2x +1
Find: g(h(x+1)

Answers

Answer:

Answer is 0.67 rounding up

Solve the equations using addition or subtraction.
5.5=-2+d

Answers

Answer: d=7.5

Step-by-step explanation: 5.5=−2+d                                                                     d−2+2=5.5+2                                                                                                             d=7.5                  

Answer:

First rewrite the question: d + -2 = 5.5

Step-by-step explanation:

3.5 is your answer.

Compare the Numbers in each exercise using an inequality symbol

Answers

5 2/3 > √29 i believe :)



5 2/3 is approximately 5.66
√29 is approximately 5.385

Convert 250 m to km

.......

Answers

Answer:

0.25km

Step-by-step explanation:

km = 1000m

250/1000 = 0.25

Answer:

0.25 km

Step-by-step explanation:

1 km = 1000 m

250 ÷1000 = 0.25 km

What is the mean of the data set: 12. 19, 38, 52. 55 Answer must be to the tenths
place to be counted correct.

Answers

[tex]\boxed{\sf Mean=\dfrac{Sum\:of\:terms}{No\:of\:terms}}[/tex]

[tex]\\ \sf\longmapsto Mean=\dfrac{12+19+38+52+55}{5}[/tex]

[tex]\\ \sf\longmapsto Mean=\dfrac{176}{5}[/tex]

[tex]\\ \sf\longmapsto Mean=35.2[/tex]

Write each in scientific notation. a. 4.356,000 b. 0.1367​

Answers

Part B should be 1.367 x 10^-1

Typically scientific notation requires the first number to be between 1 and 10 (but not 10).

One angle of a right triangle is 2 less than 3 times the size of the other acute angle. What is the measure of each
angle?

Answers

Explanation:

Right-angled triangles have one of their angles to be 90°.

Angles in a triangle is 180°

=>The other two angles will sum up to 90°

Let x represent the other acute angle

2 less than 3 times the size of the other acute angle.

3(x)-2=one angle.

Equating both angles to 90°

=> other acute angle + one angle =90°

=> x+3x-2=90°

=>4x-2=90°

=>4x=90-2

=>4x=88

Divide both sides by 4

x=22°

Other acute angle=22°

One angle= 3(22)-2

=>66-2

=>64°

Proof= 22+64+2+90=180°

9 - (-10) x 2 - (5-2) / 3

Answers

Answer:

9+10×2-(5-2)/3

19×2-(5-2)/3

38-(5-2)/3

38-3/3

38-1

37

Answer:

10x²+6

    3

Step-by-step explanation:

Solve the inequalities;


1. |4x + 5| + 2 ≥ 10


2. |2x + 3| + 6 > 0

Answers

Answer:

Number two: x > -9/2, x < 3/2

Number one: x is less than or equal to 3/4, x is greater than or equal to - 13/4

Step-by-step explanation:

Number one:

|4x+5| > 10-2

|4x+5| > 8

4x+5 > 8

-(4x+5) > 8

x > 3/4

x < -13/4

x > 3/4, x < -13/4

(all of these signs are greater than or equal to and less than or equal to)

Number two:

|2x+3| > -6

2x+3 > -6

-(2x+3) > -6

x > -9/2

x < 3/2

x> -9/2, x < 3/2

(all of these signs are correct and not greater than or equal to or less than or equal to)

Could you guys help me out?

Answers

Answer:

3 maybe...

Step-by-step explanation:

a car drives 5km in 4 minutes. what is the speed of the car in kilometers per hour​

Answers

Answer:

810 km/h

I hope it's helps you

From 1985 through 1995, the yearly gross farrm revenue (in millions) in the United States can be modeled by the function R(t)=-t^2+7t+159 and the yearly farm cost (in millions) in the United States can be modeled by the function c(t)=t^2+131 where t is the number of years since 1985. Write a new function, P(t), that models the yearly profit after 1985

Answers

The profit function is simply the difference between the revenue function and the cost function. The profit function that models the yearly profit after 1985 is [tex]P(t) = 7t + 28[/tex]

Given that:

[tex]R(t) = t^2 + 7t + 159[/tex]

[tex]c(t) = t^2 + 131[/tex]

The profit function P(t) is calculated as follows:

[tex]P(t) = R(t) - c(t)[/tex]

So, we have:

[tex]P(t) = t^2 + 7t + 159 - (t^2 + 131)[/tex]

Open brackets

[tex]P(t) = t^2 + 7t + 159 - t^2 - 131[/tex]

Collect like terms

[tex]P(t) = t^2- t^2 + 7t + 159 - 131[/tex]

[tex]P(t) = 7t + 28[/tex]

Hence, the profit function that models the yearly profit after 1985 is [tex]P(t) = 7t + 28[/tex]

Read more about profit functions at:

https://brainly.com/question/11334756


S(-4, -6) and T(-7, -3); Find R.

Answers

Answer:

(13,-6)

Step-by-step explanation:

The midpoint is the exact halfway point, so all you need to do is find the distance between those two points and apply it again.

First find the x coordinate. The distance from -9 to 2 is 11. So you add 11 to 2, and you get 13, which is your x coordinate.

Then do the same thing with the y coordinate. And you get -6.

Your endpoint is (13,-6)

solve the formula for y (pls give steps)
-10x +2y = 4

Answers

-10x + 2y = 4

add 10x to both sides (we do that because it cancels the negative 10x out)

2y = 4 + 10x

divide everything by two (because we need to get y alone on one side)

y = 2 + 5x

flip the 5x and 2 (because that is the form of y intercept form)

y = 5x + 2

HELP ME PLEASEEE:(((

Answers

Answer:

The choose D. 40

Step-by-step explanation:

70+70+Y=180

140+Y=180

Y= 180 - 140

Y= 40

I hope I helped you^_^

70 degrees bc the rigid motion keeps the same size and shape , therefore it is the same degree

Convert:
220 cm into m
72 kg into gm
1 day into sec

Answers

2.2 meters

72000 gm

86400 sec

f(x) = -x + 1; reflection in the y-axis

Answers

The reflection of this is f(x)= x+1

The perimeter of a rectangular garden is 24. If the length is half the width, what is
the width?

Answers

Let length be x

Width be 2x

ATQ

[tex]\\ \sf\longmapsto 2(L+B)=24[/tex]

[tex]\\ \sf\longmapsto 2(x+2x)=2=[/tex]

[tex]\\ \sf\longmapsto 2(3x)=24[/tex]

[tex]\\ \sf\longmapsto 6x=24[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{24}{6}[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

Step-by-step explanation:

let the length be X and breadth be 2x

p=2(l+b)

24=2(X+2x)

24=2x+4x

24=6x

24÷6=x

4=X

so,we know that

X=4 and 2x=2 X 4= 8

therefore the value of breadth or width is 8

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