Mathematics College

Select the formula for the
xth term of the sequence.

screen shot -

Select The Formula For The Xth Term Of The Sequence.screen Shot -

Answers

Answer 1

Answer:

Option (3)

Step-by-step explanation:

Given sequence is,

8, -8, 8,...........

Ratio of the 2nd and 1st term = [tex]\frac{-8}{8}[/tex]

                                                = -1

Ratio of 3rd and 2nd term = [tex]\frac{8}{-8}[/tex]

                                           = -1

Therefore, there is a common ratio 'r' = (-1)

And the sequence is a geometric sequence.

Explicit formula for the nth term of a geometric sequence is given by,

[tex]T_n=a(r)^{n-1}[/tex]

Here, 'a' = First term of the sequence

r = Common ratio

n = nth term

For the given sequence xth term of the sequence will be,

[tex]T_x=8(-1)^{x-1}[/tex]

Option (3) will be the answer.

Related Questions

What are the restrictions on x? square root of 5x^2

Answers

Step-by-step explanation:

there are actually no restrictions. even with a negative x, squaring it makes for a positive result.

write an equivalent expression 8(y-7z+1)

Answers

Answer:

8y−56z+8

Step-by-step explanation:

3. Write the equation of the circle with a center at (-6, 1) and an area of 7n.

A Q(x + 6)^2 + (y - 1)^2 = 14
B (x - 6)^2 + (y + 1)^2 = 49
C (x + 6)^2 + (y - 1)^2 = 49
D (x + 6)^2 + (y - 1)^2 = 7
E (x - 6)^2 + (y + 1)^2 = 7

Answers

Answer:

D [tex] (x +6) ^2 +(y-1)^2 =7 [/tex]

Step-by-step explanation:

Center of the circle (h, k) = (-6, 1)

Area of the circle [tex] =\pi r^2 [/tex]

[tex] 7\pi=\pi r^2 [/tex]

[tex] \frac {7\pi}{\pi} =r^2 [/tex]

[tex]r^2=7[/tex]

[tex]r=\sqrt 7[/tex]

Radius [tex] r=\sqrt {7}[/tex]

Equation of circle in center radius form is given as:

[tex] (x - h) ^2 +(y-k) ^2 =r^2 [/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex] [x - (- 6)] ^2 +[y-1 ]^2 =(\sqrt {7})^2 [/tex]

[tex] (x +6) ^2 +(y-1)^2 =7 [/tex]

help help Find the surface area of the figure !

Answers

Answer: 340 in. squared

Step-by-step explanation:

17*7=119

15*7=105

8*7=56

8/2*15=60

119+105+56+60=340 in.^2

You randomly choose one of the chips. Without replacing the first chip, you choose a second chip. Find
the probability of choosing the first chip, then the second chip.
White and not a Green


Answers

Answer:

probability = 0.07777

Step-by-step explanation:

there are 10 chips

white  1

red     4

green 2

blue   3

the probability of choosing the W chip is 1/10  or  0.10      

now there are 9 chips left (the first chip was not replaced)

the probability of choosing a non-green chip is (9-2)/9 =  7/9  = 0.7777  

so now I THINK you multiply the two probabilities to get the total probability

probability = 0.1 ·0.7777

probability = 0.07777    which makes sense it has to be less than 0.1

Answer:

1/15

Step-by-step explanation:

2/10 x 3/9= 6/90

6 divided by 6

90 divided by 6

=1/15

Find the perimeter pt3

Answers

Answer:

28

Step-by-step explanation:

2x3x2x2=28   the permiter is the area around the shape like  lenght witdth and heght

The perimeter is the sum of all sides: K + L + M + N.

Find the value of x in the triangle shown below.
a. x=21
b. x=42
c. x= 15
d. x=21

Answers

Answer:

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]

by using Pythagoras law:

h²=p²+b²

x²=9²+12²

x=√225=15unit

Explain how to find mode, range, and mean

Answers

Step-by-step explanation:

The mean is the usual average, so add all of the numbers and then divide.

The mode is the number that is repeated more often than any other.

The range is the largest value and smallest value subtracted.

Answer:

Answer bellow

Step-by-step explanation:

To find mean(average) get all the numbers and and add them together after devide the added number by the number of numbers

To find mode rewrite all the numbers and look for numbers that are repeating (it can be more than one)

To find range take the biggest number from the data set and subtract it from the smallest number in the data set

What is the solution to this equation?
2x + 10 = 28
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.

Answers

Answer: x = 9
Hopefully this helps

Pls help !! Pls no links :)

Answers

Answer:

A 5 <= A <= 40

Step-by-step explanation:

down point is (5, 50)

up point (40, 350)

so  5 <= A <= 40

Find the surface area of the rectangular prism below.

Answers

Answer:

630 ft

Step-by-step explanation:

(11 * 15) * 2 = 330 ft

(5 * 15) * 4 = 300 ft

330 + 300 = 630 ft

find the expression as the cosine of an angle
cos pi/4 cos pi/9 - sin pi/4 sin pi/9

Answers

Answer: cos(13pi/36)

Step-by-step explanation: just did the assignment


Sophie needs to determine the amount of water that will fit into her new vase, shown below.

Which combination of geometric shapes can she use to best estimate the vase's volume?
A cone and a hemisphere
A cylinder and a sphere
A truncated cone and a sphere
A truncated pyramid and a hemisphere

Answers

Answer:A truncated cone and a sphere

Step-by-step explanation:

I just did it.

The combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.

Sophie needs to determine the amount of water that will fit into her new vase, as shown below.

What is the volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

We have to determine the combination of geometric shapes can she use to best estimate the vase's volume.

Therefore the combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.

To learn more about the volume visit:

https://brainly.com/question/1972490

#SPJ2

What is the volume of the prism? m 14 m 6 m 8 m​

Answers

Answer:

672

Step-by-step explanation:

It is right on Edge 2021

How many pairs of opposite sides are parallel? no pairs 1 pair 2 pairs​

Answers

Answer:

no pairs of opposite sides are parallel

Answer:

no pairs

Step-by-step explanation:

none of the sides line up straight with each other

hope this helps! :)

Which equation could be used to find the
total cost cif Fernando wanted to buy
8 pencils from the school store?

Answers

Answer:

A. C=0.15*8

Step-by-step explanation:

3 pencils for $0.45, think about how much one pencil costs? so divide 0.45 by 3 and get 0.15 which basically means 1 pencils is 15 cents, multiply that by the amount of pencils fernando wants which is 8 and that's your equation

Factorise the expression

Answers

it is not possible

that expression is not factorable with rational numbers

rational means - A number that can be expressed as the ratio of two integers.

Find the value of x. Round to nearest tenth. A=53sq.in.

Answers

Answer:

50sq.in

hope it helps.

3/4 Ravi is as tall as Sam, Mike is as tall as 5/3 Ravi. Find the ratio of Mike's height to Sam's height.​

Answers

Answer: The ratio of Mike and Sam Heights are  S:M=5:4

Step-by-step explanation:

Ravi is 3/4 as tall as Sam.

Consider the equation is  3/4 *R=S

Mike is 5/3 as tall as Ravi.

Then, the equation is 5/3 *M=R

Solve the two equation to find ratio of mikes and sam height.

3/4*R=S   Eq(1)

Rearranging eq (1) for R

R=4/3 *S      Eq(3)   made from eQ (1)

R=5/3*M   Eq(2)

Comparing   Eq 2 &3  equations

4/3*S=5/3*M

S/M=(5/3)*(3/4)

S/M=5/4

How much money is 15% of $ 14.99

Answers

Answer:

The discount is $2.25 and the final price will be $12.74

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 14.99 × 15/100

Discount = 14.99 x 0.15

You save = $2.25

Final Price = Original Price - Discount

Final Price = 14.99 - 2.2485

Final Price = $12.74

hope this helps and is right. p.s. i really need brainliest :)

Answer:

$12.74

Step-by-step explanation:

15% of 14.99 dollars

14.99-2.25=12.74

Final answer=12.74 dollars


Graph y = 3x – 3 using the slope and y-intercept.

Answers

Use the slope-intercept form to find the slope and y-intercept. The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept.

What is y if x= -2 and y = 1/2x?

if you do links i will band you

Answers

put the -2 into the y=1/2x
y=1/2(-2)
y =1/-4

The area of a triangle is 92 square inches. The base is 23 inches. What is the height in inches? Do not include units in your answer.

Answers

Answer:

34,5 ?? I am not good at this but I did 92-23 that's 69 ÷ 2 = 34.5 ?

Answer:

Step-by-step explanation:

We can use the formula for the area of a triangle, to help us find the height:

Area=12⋅b⋅h

Using the formula for area, we can solve for the height by plugging in the information we have about the area and the base:

92=12⋅23⋅h

Isolate h by multiplying both sides by 2 and dividing both sides by 23.

hh=2⋅9223=8

The height is 8 inches.

A scale model of an object has a scale of 1cm : 2ft. The actual object is 11 feet tall. How tall is the model?

Answers

Given:

The scale model of an object has a scale of 1cm : 2ft.

The actual object is 11 feet tall.

To find:

The height of the model.

Solution:

It is given that the scale model of an object has a scale of 1cm : 2ft and the actual object is 11 feet tall.

Let the height of the model be x cm.

[tex]\dfrac{x\ cm}{11\ ft}=\dfrac{1\ cm}{2 \ ft}[/tex]

[tex]x\ cm=\dfrac{1 \ cm\times 11\ ft}{2 \ ft}[/tex]

[tex]x\ cm=5.5\ cm[/tex]

Therefore, the model is 5.5 cm tall.

Solve the formula Ax + By = C for A

Answers

Ax+By=C
Ax=C-By
A=C-By/x

Please help!!! Evaluate sin(x)
A. 2.125
B. 0.4706
C.0.8824
D.0.5333

Answers

Answer:

sin x = 0.4706

Step-by-step explanation:

Given that,

Height, h = 8

Base, b = 15

Let H be the hypotenuse of the triangle. Using Pythagoras theorem,

[tex]H=\sqrt{8^2+15^2} \\\\H=17[/tex]

We know that,

[tex]\sin\theta=\dfrac{h}{H}[/tex]

So,

[tex]\sinx=\dfrac{8}{17}\\\\\sin x=0.4706[/tex]

So, the correct option is (b).

-3/8 divided by -1/4 equals

Answers

Answer:

3/2 or 1.5 or 1 1/2

Step-by-step explanation

To divide, you must switch the -1/4 to its reciprocal which is -4/1 and then multiply the fractions (-3/8 * -4/1) and since negative - negative = positive. It's a positive.

In a race, 24 out of the 25 bicyclists finished in less than 57 minutes. What percent of bicyclists
finished the race in less than 57 minutes? Write an equivalent fraction to find the percent

NO LINKS

Answers

55 because it’s better and makes more sense

techwiz Electronics makes a profit of $35 for each MP3 players sold and $18 for each DVD player sold. Last week, techwiz so the combined total of 128 MP3 and DVD players let X be the number of MP3 players techwiz sold last week write an expression of the combined total profit in dollars Tech whiz made from MP3 and DVD player ​

Answers

Answer:

128 = 35x + 18y

Step-by-step explanation:

total = 35(MP3) + 18(DVD)

128 = 35x + 18y

6rr6gryr6ffgrfrf6rfg6rfg6rgfrfgrf6rgfrg6frg6gf6rgrfgrf6gf6rfgr6fgr6fgr6fgr6fgr6gr6gfr6fg6fg6frgr6grf6gr6fr6fg6rgr6g6rgf6rfg6fgr6fg6rgr6fgr6fg

Answers

Step-by-step explanation:

Hello friend nice to meet you....

Answer:

What ever you want it to be

Step-by-step explanation:

nooo

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