Determine if the sequence is geometric. If it is, find the common ratio. ( -4, 12, -36, 108, ... )

Answers

Answer 1

Step-by-step explanation:

to know whether it is geometric progression or not, you need to find the common ratio. to find the ratio divide the (n+1)th term by n th term

so, 12/-4 = -3

also, -36/12 = -3

here u see the ratio is always same, i.e., common ratio.

thus u can say it is a geometric series with common ratio -3


Related Questions

Could anyone help me with this question? Thank you!

Answers

Answer:

C

Step-by-step explanation:

We want to simplify the rational expression:

[tex]\displaystyle \frac{n^4-11n^2+30}{n^4-7n^2+10}[/tex]

First, we can factor both the numerator and the denominator. This yields:

[tex]\displaystyle =\frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}[/tex]

Cancel like terms:

[tex]\displaystyle =\frac{(n^2-6)}{(n^2-2)}[/tex]

However, since we canceled a term from our expression, we must place restrictions in order to stay true to the original expression.

Rational expressions are undefined whenever the denominator equals 0. The denominator is (before canceling):

[tex](n^2-2)(n^2-5)=0[/tex]

Solve for n. By the zero product property:

[tex]n^2-2=0\text{ and } n^2-5=0[/tex]

Therefore:

[tex]n^2=2\text{ and } n^2=5[/tex]

By taking the square root of both sides (since we are taking an even root, it is required to have plus/minus):

[tex]n=\pm\sqrt{2}\text{ and } n=\pm\sqrt5[/tex]

Therefore, our fully simplified expression is:

[tex]\displaystyle \frac{n^2-6}{n^2-2}\, ,n\neq \pm\sqrt5, \pm\sqrt2[/tex]

Hence, our answer is C!

Triangle QRS has coordinates Q(-2, -2), R(0, 3), and S(4, -2) and is dilated by a scale factor of 2. Determine the new coordinates of point S', and state whether the dilation is an enlargement or a reduction

Answers

Given:

Triangle QRS has coordinates Q(-2, -2), R(0, 3), and S(4, -2) and is dilated by a scale factor of 2.

To find:

The new coordinates of point S', and state whether the dilation is an enlargement or a reduction.

Solution:

If a figure is dilated by factor k with origin as center of dilation, then

[tex](x,y)\to (kx,ky)[/tex]

Where, 0<k<1 is reduction and k>1 is enlargement.

The figure is dilated by scale factor 2 which is greater than 1, so the dilation is an enlargement. The rule of dilation is:

[tex](x,y)\to (2x,2y)[/tex]

Using this rule, we get

[tex]S(4,-2)\to S'(2(4),2(-2))[/tex]

[tex]S(4,-2)\to S'(8,-4)[/tex]

Therefore, the new coordinates of point S' are (8,-4).

Function r represents the money collected from members in the club as a function of m, the number of members.



Is 2.78 a possible input?

Answers

Answer: yes

Step-by-step explanation: because it can be a possibility of how much the m members gave money to you

The speed of trains from New York to Boston was increased by
20% to 60 miles per hour. What was the speed of the trains
before the increase?

Answers

Answer:

48

Step-by-step explanation:

First, we find 20% of 60. That is 12. Then we subtract 12 from 60, making 48.

Can you find the volume of a cone if you don’t know the height or radius?

Answers

Yes you can good sir

Answer:

no no no no you just can't ggfgrgrgtghfhththhehfhrhrhthgtvtbth had to get 20 words

Find the slope of the line that passes through the points
(7, 2) and (11,9).

Answers

Answer:

7/4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-2)/(11-7)

m=7/4

What’s the missing side length

Answers

The answer is 6cm hop this helps
The answer would be 6cm because the length below is 10 and above is 4, so that would leave 6 cm of blank space

Calculate the net profit margin for a
lamp sold for $80 that has a $50 cost
of goods sold and 20% operating
expenses.
A. 28%
B. 18%
C. 25%
D. $14

Answers

The answer is D, 14 percent
correct answer is $14 (D)

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

113.1 is the answer

I think That should be correct

I think the answer would be 48 if it in your options if not please comment and tell me the options if there is any thanks have a good day home u pass!

Create a real life example that can be modeled by the expression –2 • 4.

Answers

Answer:

Some one buys an apple that costs two dollars out of there pocket fours times.

Step-by-step explanation:

Find the value of the marked angles in each of the following ( see image ).

Please show workings.

The only given angles are 62° and 85°.

The angle to look for is marked by “))”​

Answers

Answer:

(180-62)

118

180-118=62

180-85=95

180-(62+95)

180-157

23

Answer:

23°

Step-by-step explanation:

The inscribed is the cyclic quadrilateral.

The opposite angles are supplementary in cyclic quadrilaterals.

The angle opposite to 85° is:

180° - 85° = 95°

The missing angle of the triangle is:

180° - (62° + 95°) = 23°

What are the sine and cosine of 4π/3?

Answers

Answer:

See below.

Step-by-step explanation:

Sin (4π/3) = -sqrt(3)/2

Cos(4π/3) = -1/2

WILL GIVE BRAINLIEST!
Translate the Algebraic Expression
Five times the sum of twice a number, x, and five is twenty-five.

Answers

Answer:

5(2x+5) = 25

Step-by-step explanation:

Step-by-step explanation:

5 (2x + 5) = 25

Hope this helps!!

my question has been up too long lol

Answers

Answer:

Question 2: y = -7

Question 3: All real numbers

Step-by-step explanation:

(2) - The equation has a horizontal asysmptote that is y = -7

(3) - they are all real numbers it does not stop at any point

I hope this helps!

PLEASE HELP I"LL GIVE YOU BRAINLY!!!!

Answers

Answer:

-2f(x)

5.5f(x)-1

and 7f(x)

Step-by-step explanation:

Please help me for question 12.

Answers

Answer:

79°

Step-by-step explanation:

its a right angled triangle so the unknown is 90°

180 - (90 + 11)

A rectangle is 10 cm by 13 centimeters. If each dimension is increased by the same amount, find the dimensions of a new rectangle whose area is 50 square centimeters more than the original rectangle.

Answers

Answer:

10 by 18

Step-by-step explanation:

simplify -(7)+(-6)+5(-2)-3​

Answers

[tex]\large\textsf{-(7) + (-6) + 5(-2) - 3 }[/tex]

[tex]\large\textsf{-7 - 6 = -13}[/tex]

[tex]\large\textsf{-13 + 5(-2) - 3}[/tex]

[tex]\large\textsf{5(-2) = -10}[/tex]

[tex]\large\textsf{-13 - 10 = -23}[/tex]

[tex]\large\textsf{-23 - 3}[/tex]

[tex]\large\textsf{= -26}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf -26}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

−(7)+(−6)+5(−2)−3

Subtract 6 from −7 to get −13.

−13+5(−2)−3

Multiply 5 and −2 to get −10.

−13−10−3

Subtract 10 from −13 to get −23.

−23−3

Subtract 3 from −23 to get −26.

−26

Natasha has a bag of 25 gift bows: 6 white, 5 gold, 4 red, 7 blue, 2 green, and 1 pink.
If Natasha picks bows at random, what percent chance is there that the first two gifts
she wraps will have a white bow?

Answers

Answer:

24%

Step-by-step explanation:

6/25=0.24

0.24=24%

PLEASE HURRY!!! 30 POINTS, WILL GIVE BRAINLIEST
A spinner with four equal sectors labeled "purple,” "blue,” "orange,” and "green” is spun 45 times. What is the probability that the spinner will land on "purple” in fewer than 20% of the spins?

0.212
0.221
0.460
0.779

Answers

0.221 should be that answer

Answer (predicted):

About 0.221

A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of
those seats. What is the probability that the next person will be assigned to an aisle
seat?

Answers

Answer:

2/5

Step-by-step explanation:

There is an 8/20 chance that the next person will receive a window seat. You simplify that probability to get your answer. 8/20 becomes 2/5. So the answer is 2/5.

The coordinate grid shows points P, Q, R, and S. All the coordinates for these points are integers. What is the value of the x-coordinate of point P?

Answers

Answer:

The answer is "-6".

Step-by-step explanation:

Please find the graph file in the attachment file.

Given points:

[tex]P\to ( -6, 2 )\\\\\ Q\to ( -3, -4 )\\\\ R\to ( -1, 7 )\\\\ S\to ( 4, -5 )[/tex]

and the x- coordinate of point P is "-6".

Answer:

-6

Step-by-step explanation:

Factor the polynomial: –3x^4 – 9x^3 + 15x^2

Answers

Answer:-3x^2(9x^5-5)

Step-by-step explanation:

Step-by-step explanation:

-3x2(x2)-9x3+25x2

-3x2(x2+3x-5)

Find the perimeter of the parallelogram.

Answers

Answer:

14 cm

Step-by-step explanation:

3 + 3 + 4 + 4 = 14

Answer:

it's (4+3)x2 so the answer is 14cm.

What is the measure of arc BC?

Answers

Answer:

I think the measure of arc BC is 45°.

A rectangle is shown on the graph.

What is the approximate length of the diagonal ? Round to the nearest tenth.

Answers

Length=13 units
Width=6 units
d=√w^2+l^2
d=√6^2+13^2
d=√36+169
d=√205
d≈14.3

The volume of 2 spheres have a ratio of 27:125. what is the ratio of their areas

Answers

Answer:

the ratio is 9: 25

Step by step calculation:

[tex] \sqrt[3]{125} = 5 \\ 5 {}^{2} = 25 \\ \sqrt[3]{27} = 3 \\ 3 {}^{2 } = 9 \\ [/tex]

You need to score a 90 or higher on your next test to make the honor roll. If x represents the score on your next test, which inequality represents the situation?

x > 90
x< 90
x ≥ 90
x ≤ 90

Answers

Answer:

x ≥ 90

Step-by-step explanation:

it says 90 or higher which also means "at least 90", which means greater than or equal to 90.

urm so i have a test on Friday and i have to get all of my worked turned in. can someone help me please i'm stuck nd don't understand one bit.

Answers

Answer:

have you tried to use the tutor feature on this app, or ask someone in your family or someone in your school?

Answer:

a = 3.4641 = 2√3

an equivalent expression for 50 – 35x.

Answers

Answer:

the answer would be 5(10-7x)

Step-by-step explanation:

factors 5 out of 50-35x

hope this helps.

correct me if I'm wrong  

have a good afternoon.

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