Which of the following is a geometric series? 6 13 20 27 7 21 35 45 14 21 28 35 2 14 98 686

Answers

Answer 1

The geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.

What is geometric series?

In mathematics, a geometric series is the sum of an infinite number of terms that have a constant or common ratio between successive terms

A. 6 + 13 + 20 + 27 .

the difference between two terms are 13-6 = 7 , 20-13= 7

The terms are increasing by 7. So it is not geometric

B. 7 + 21 + 35 + 45

the difference between two terms are 21-6 = 14 , 35-21= 14

The terms are increasing by 14. So it is not geometric

C. 14 + 21 + 28 + 35

the difference between two terms are 21-14 = 7 , 28-21= 7

The terms are increasing by 7. So it is not geometric

D. 2 + 14 + 98 + 686

Here the difference is not same, so we find the ratio

14/2= 7

98/14= 7

686/98= 7

So common ratio is 7

When the common ratio is same then it is Geometric series

Hence the geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.

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Answer 2

Answer:

D

Step-by-step explanation:

multiplied by 7 each time


Related Questions

Find the 2 consecutive integers whose squares have a difference of 239

Answers

Answer:

119 and 120

Step-by-step explanation:

let the consecutive integers be n and n + 1 , then

(n + 1)² - n² = 239

n² + 2n + 1 - n² = 239

2n + 1 = 239 ( subtract 1 from both sides )

2n = 238 ( divide both sides by 2 )

n = 119

n + 1 = 119 + 1 = 120

the 2 integers are 119 and 120

as a check

120² - 119² = 14400 - 14161 = 239

The length of Ruben's rectangular living room is 9 meters and the distance between opposite
corners is 10 meters. What is the width of Ruben's living room. Use Pythagorean theorem.

Answers

P.Theorem says a^2 + b^2 = c^2
We know c^2 is 10, the diagonal length, and one leg we will call a^2 is 9
10^2 - 9^2 = b^2 (width)
Width is 4.36

if you can mow 90 lawns in 45 minutes how long will it take to mow 12 lawns?

Answers

Answer:

24 minutes

Step-by-step explanation:

90/45=2 x 12 = 24

Hope It Helps

pls help me im really stuck

Answers

Answer:

10:1:5

Step-by-step explanation:

Let's mark names as their first letter:

Amy=A

Bill=B

Cara=C

The ratio should be like this A:B:C

A=10*B

C=A/2 or A*1/2

If it is the simplest, then Bill have to score 1 point.

10*1=10 (Amy's score)

10/2=5 (Cara's score)

If it is Amy:Bill:Cara then the ratio of points score by them is 10:1:5

I hope that I helped :)

Please help!
which of the following is equivalent to (a+b)(c+d+e)?
A) ab+ac+ad+ae
B) ac+ad+ae+bc+bd+be
C) abcde
D) ac+bd+e

Answers

Number B
Use the distributive property

What’s the distance between 240 and 0

Answers

Answer:

The distance between 240 and 0 is 240

Step-by-step explanation:

You can find the distance between two values by getting it's absolute value.

You can setup the equation like this:

| 0-240 |

When you solve the equation you will find the absolute distance between 240 and 0.

An ecologist wants to know what percent of the 10,000 fish in a lake are cod. She conducts a study in which 50 fish are randomly caught. Of those 50 fish, 15 are cod. Based on this data, using a 95% confidence interval, the researcher can determine that the percent of fish that are cod in the lake is which of the following?

(1) Between 17% and 43%
(2) Exactly 30%
(3) Between 24% and 36%
(4) Between 20% and 40%

Answers

Answer:

3

Step-by-step explanation:

Because there are about 3,000 fish in the lake, 3,000 is 30 percent of 10,000. C or (3) gives the 6 percent each way around 30.

a triangle’s angle measures are in the extended ratio of 2:4:9 find the measures
of the angles.
24°, 32°, 124°
20°, 40°, 90°
20°, 40º, 100°
24°, 48°, 108°

Answers

Answer: 24°, 48°, 108°

Step-by-step explanation:

CAN SOMEONE HELP PLEASE IM BEGGING YOU PLAS

Answers

Substitute each value and see the answers

Preston needs to write an equation in slope-
intercept form to represent the relationship between x
and y in the table below. What will be the value of the
y-intercept in his equation? Record your answer on
the grid.
HELPS A GIRL OUT PLSSS

Answers

The line equation in its slope-intercept form is y = 1.5 · (x - 8), the slope and the y-intercept of linear function are 1.5 (according to the information of the table) and -12, respectively.

How to determine a linear function in slope-intercept form

By analytical geometry we know that linear functions can be constructed by know the location of two distinct points on a Cartesian plane and the slope-intercept form is described below:

y - y₁ = m · (x - x₁)     (1)

Where:

x - Independent variabley - Dependent variablex₁, y₁ - Coordinates of the know point.m - Slope

According the table, the slope of the function is 1.5, as there a change in y of 3 for a change in x of 2. Lastly, we determine the line equation in slope-intercept form: m = 1.5, x₁ = 8, y₁ = 0

y = 1.5 · (x - 8)

And the y-intercept is found for x = 0:

y = 1.5 · (0 - 8)

y = -12

The line equation in its slope-intercept form is y = 1.5 · (x - 8), the slope and the y-intercept of linear function are 1.5 (according to the information of the table) and -12, respectively. [tex]\blacksquare[/tex]

To learn more on linear functions, we kindly invite to check this verified question: https://brainly.com/question/21107621

Consider the equation 3p – 7 p = 13. what is the resulting equation after the first step in the solution?

Answers

Answer:

-4p=13

Step-by-step explanation:

-3p-7p=13

-4p=13

p=-13/4

The surface area of a closed box is 2842 square meters. If the length is x m, the width is 6 M less than twice. The length and the height is 4 M more than the length. Calculate, the value of x

Answers

Hey I hope you have a good day

What is the true solution to l n 20 l n 5 = 2 l n x

Answers

Since the solution cannot be negative hence the true solution to the expression is x = 10

Laws of logarithm

Given the logarithmic expression

ln 20 + ln 5 = 2lnx

In logarithmic law, the sum of log is equivalent to its product .The equation above can be written as:

ln(20*5) = 2lnx
ln100 =2lnx
ln100 = lnx^2

x^2 =100

x = 10

Since the solution cannot be negative hence the true solution to the expression is x = 10

Learn more on log functions here: https://brainly.com/question/13473114

Kim is installing blue
white tile in her bathroom. She
made a diagram of
the layout showing the area of both colors. Write two
expressions that describe the area of the blue tile.

Answers

Answer:

4/9, 44.4%

Step-by-step explanation:

16 tiles are blue out of 36

16/36 = 4/9

4 ÷ 9 × 100 = 44.4%

Need help on this please

Answers

Answer:

First Question is 20. Second one is 12 and the third one is 30.

Step-by-step explanation:

Hope this helps! :)

Please help me solve ma

Answers

VW = 6

HOPE IT HELPS...!!!

So there is one triangle with two sides and the other one has one
XV/SU= VW/ST
u plug in the numbers
8/2=x/1.5
2x=12
X=12/2
X=6

Bailey rolls a pair of dice 12 times, and the sum of 6 came up 5 times to calculate the experimental and theoretical probabilities of rolling a sum of six with a pair of dice

Answers

Answers:

Experimental probability =  5/12

Theoretical probability = 5/36

========================================================

Explanation:

The experimental probability, aka empirical probability, is what we observe to happen. The event of rolling a six happens 5 times out of 12 total rolls. That leads directly to the experimental probability of 5/12

----------------------------

The theoretical probability is based on predetermined odds, and can be done on paper rather than actually rolling the dice.

There are 6*6 = 36 ways to roll two dice. Of those 36 ways, we have these cases that add to 6

1+5 = 62+4 = 63+3 = 64+2 = 65+1 = 6

There are five ways to add to 6, out of 36 outcomes total.

This means the theoretical probability of getting a sum of 6 is 5/36

Calculate the volume of each of the following prisms.

Answers

Answer:

The Rectangular prism in the top-left corner is 11,760. The top-middle rectangular prism is 7,938. The top-right rectangular prism is 4,851. The shape that is orange and pink I don't know what it is. The triangular prism on the middle of the page is 11.781. The blue cylinder is 38,936. The green rectangular prism is 23,125. The "clear" rectangular prism on the bottom row is 31,668. The rectangular prism in the bottom right corner is 14,688. That is all, I'm almost 100 percent sure they are all right!

pls help me with this

Answers

try 4 vertices and 6 edges

Answer:

4 vertices6 edges

Step-by-step explanation:

A vertex is where three or more edges come together. All of the vertices are shown in the picture, so you can count them. There are 4 vertices.

An edge is where plane faces meet in a line. All of the edges except one are shown as solid lines in the figure. (The remaining edge is shown as a dashed line.) You can count them. There are 6 edges.

3.5 divided by 0.375 with solution.

Answers

Answer:

9 and 1/3

Step-by-step explanation:

0.375 = 3/8

You can write the question as:

3.5/(3/8)

(7/2)/(3/8)

—> times to get denominator of 16

(56/16)/(6/16)

(56/16) x (16/6)

the 16 cancels out so we are left with:

56/6,

54/6 = 9

2/6 = 1/3

Therefore the answer is 9 + 1/3 = 9 and 1/3

Find the equation of the line parallel to y = - 1/2x -5, that passes through the point (4, -3). Write your answer in slope intercept form.

Answers

Answer:

y = -1/2x - 1

Step-by-step explanation:

Hi there!

We are given the equation y = -1/2x - 5

We want to write an equation parallel to this line, that passes through the point (4, -3)

Parallel lines have the same slope

In y=-1/2x-5, the equation is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

-1/2 is in the place of where m is, therefore it is the slope of the line

It is also the slope of the new line that we want to create.

As we already know the slope of this new line, we can substitute it into our equation (y=mx+b):
y=-1/2x+b
Now we need to solve for b

As the equation passes through the point (4, -3), we can use its values to help solve for b

Substitute 4 as x and -3 as y:

-3 = -1/2(4)+b

Multiply

-3 = -2+b

Add 2 to both sides

-1 = b

Now substitute -1 as b into the equation

y = -1/2x -1

Hope this helps!

See more on this topic here: https://brainly.com/question/25642286

Tickets for a play cost $3 for children and $10 for adults. A group of 25 people paid a total of $201 for tickets to the play. How many children were in a group?

Answers

Answer: There were 7 children

Step-by-step explanation:

Let's use x to represent the children and y to represent the adults.

We know they combine to make a group of 25 people so x+y=25

We also know that they paid $201 and that there is $3 per child and $10 for adults so 3x+10y=201

I will solve by substitution.

Solve for y in the first equation

[tex]x+y=25\\x-x+y=25-x\\y=25-x[/tex]

Sub in our value for y into the other equation and solve for x

[tex]3x+10y=201\\3x+10(25-x)=201[/tex]

Step 1) Simplify

[tex]3x+250-10x=201\\-7x+250=201[/tex]

Step 2) Subtract 250 from both sides

[tex]-7x+250-250=201-250\\-7x=-49[/tex]

Step 3) Divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{-49}{-7}\\x=7[/tex]

Answer:

7 children.

Step-by-step explanation:

Let c = children

Let a = adults

1) We can set up two equations and solve them simultaneously using substitution or elimination method.

c + a = 25

3c + 10a = 201

2) I will use substitution. Make one of the variables the subject; then, substitute it into the other equation.

a = 25 - c

3c + 10(25 - c) = 201

3) Solve for c; then, substitute it into one of the equations.

3c + 250 - 10c = 201

-7c = 201 - 250

-7c = -49

c = -49/-7

c = 7

Let's substitute it into one of the equations.

7 + a = 25

a = 25 - 7

a = 18

Since the question only asked for the number of children, the answer is 7.

P (-2, 4). 4 If P = (-2, 4), then find: 3 2 Ry=1 (P) y=1 1 2 3 4 5 -4 -3 -2 -1 0 -1 ([?], []) -2 -3 -4 Enter​

Answers

Answer:

  (-2, -2)

Step-by-step explanation:

A line of reflection is the perpendicular bisector of a point and its image. The given point is 3 units above the horizontal line of reflection. Its image will be 3 units below that line, at y = 1 -3 = -2.

The image coordinates are P'(-2, -2).

There were 136 students and 34 adults at a concert in the auditorium. They filled 85% of the seats in the auditorium. How many seats are there in the auditorium?

Answers

Answer:

there are 200 seats and 170 of them were filled

136+34=170

= 170 is 85% of ?

? = 200

Mariya is solving the quadratic equation by completing
the square.
4x2-20x+3=0
4x2-20x=-3
A(x2-5x)=-3

Answers

what is the question, I'm confused?

Answer:

This is the best I can do because your question is un clear

Step-by-step explanation:

A triangular prism is 13 meters long and has a triangular face with a base of 12.6 meters and a height of 16.6 meters. What is the volume of the triangular prism?

Answers

Answer:

1359.54m^3

Step-by-step explanation:

The formula for the volume of a triangular prism is:

1/2([tex]b \times l )\times h[/tex]

b= base

l = length

h= height

Step 1: Plug the numbers into the formula

1/2(12.6*13)*16.6

Step 2: Simplify

163.8*16.6

1359.54

Step 3: Add units

The units used in the question were in meters, so the answer is also in meters.

Volume is always cubed, so it would be to the third power...1359.54m^3

If this answer helped you, I would greatly appreciate if you gave me brainliest :D.

a circle has a center at point C (2,2) and a point on the circle is located at point P (5,4). What is the diameter of the circle?

Answers

The centre C of the given circlee = (2, 2) P(5, 4) is a point on the circle. Join P to C and extend it to meet the circle at the other extremity Q of the diameter. Now PQ is a diameter of the circle with C as its midpoint. The the coordinates of Q be (x, y) The coordinates of midpoint are (2, 2) = [ (x +5)/2, (y + 4)/2] =%3E (x + 5)/2 = 2; =%3E x = 4 — 5 = —1 =%3E (y + 4) = 2; =%3E y = 4 — 4 = 0 The extremities of the diameter are (—1, 0) and (5, 4). Diameter² = [5 —(—1)]² + [ 4 —0]² = 6² + 4² = 36 + 16 = 52 Diameter = 2√13 We could have easily found the radius from the centre and the given point on the circumference. The radius r² = (5 — 2)² + (4 — 2)² = 9 +4 = 13 Radius r = √13 And diameter = 2 r = 2 √13

Hope i helped

-lukelaws

Patios can be made by mixing cubic meters of cement, gravel, and stones in the ratio 9:4:6. How much gravel is needed to make 209 cubic meters of patio?

Answers

Answer:

44 cubic meters

Step-by-step explanation

9 + 4 + 6 = 19

9/19 of the patio will be cement

4/19 of the patio will be gravel

6/19 of the patio will be stones

Work out the amount of gravel - 4/19 * 209 = 44 cubic meters

:)

What equation is graphed in this figure?
y - 4 = -⅓(x+2)
y - 3 = ⅓ (x+1)
y + 2 = -3(x – 1)
y - 5 = 3(x - 1)​

Answers

to get the equation of any straight line, we simply need two points off of it, let's use those two points in the picture below.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{3}{1}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_2=m(x-x_2) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_2}{5}=\stackrel{m}{3}(x-\stackrel{x_2}{1})[/tex]

keeping in mind that for the point-slope form, either point will do, in this case we used the second one, but the first one would have worked just the same.

What do the following two equations represent?

y

=



2

3

x

+

11

y=−

3

2



x+11y, equals, minus, start fraction, 2, divided by, 3, end fraction, x, plus, 11

y

+

7

=

3

2

(

x



5

)

y+7=

2

3



(x−5)

Answers

Answer:

unclear sorry try 34

Step-by-step explanation:

try 34 hm

Answer:

perpendicular

Step-by-step explanation:

I got it right on khan

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