Please help! find the common ratio of the geometric sequence. -1/4, 1/16, -1/64, 1/256,... A. 1/64 B. -1/4 C. -1/16 D. 1/16 E. 1/4​

Answers

Answer 1

Answer:

B    -1/4

Step-by-step explanation:

To find the common ratio, divide any term by the previous term.

1/16 ÷ -1/4 = 1/16 * -4 = -4/16 = -1/4

Answer 2
Answer:  B) -1/4

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

Explanation:

Pick any term of the sequence that isn't the first term. Divide whatever you picked by the previous term. That will compute the common ratio. This applies to geometric sequences only.

So let's say we pick on term 3 and divide it over term 2. That will get us...

[tex]r = \left(\text{3rd term}\right) \div \left(\text{2nd term}\right)\\\\r = -\frac{1}{64} \div \frac{1}{16}\\\\r = -\frac{1}{64} \times \frac{16}{1}\\\\r = \frac{-1*16}{64*1}\\\\r = -\frac{16}{64}\\\\r = -\frac{16}{16*4}\\\\r = -\frac{1}{4}\\\\[/tex]

Where r is the common ratio.

As another example, let's say we picked on term 4 and divided it over the third term

[tex]r = \left(\text{4th term}\right) \div \left(\text{3rd term}\right)\\\\r = \frac{1}{256} \div -\frac{1}{64}\\\\r = \frac{1}{256} \times -\frac{64}{1}\\\\r = \frac{1*(-64)}{256*1}\\\\r = -\frac{64}{256}\\\\r = -\frac{64}{64*4}\\\\r = -\frac{1}{4}\\\\[/tex]

We get the same result. I'll let you try dividing the second term over the first term. You should get r = -1/4 after simplifying.

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

Because the common ratio is r = -1/4, this means that we multiply each term by the common ratio to generate the next term.

For instance,

term 3 = (term 2)*(common ratio)

term 3 = (1/16)*(-1/4)

term 3 = -1/64

which matches with the given sequence


Related Questions

A survey was conducted at a town hall meeting to determine if a new park should be built. Out of the 3,462 people surveyed, 1,468 people voted that the town should not build a new park.

Assuming the survey was random, what percentage of people in the town would likely vote in favor of the new park?

Enter your answer to the nearest percent in the box.

%

Answers

Answer: 58%

Step-by-step explanation:

Answer:

58%

Step-by-step explanation:

If 1468 weren't in favor of the new park, then 3462-1468=1996 people were in favor of the new park. This means the percentage of those who are in favor of the park is 1996/3462=0.5765=57.65%=58%

A school survey found that 7 out of 30 students walk to
school. If two students are selected at random without
replacement, what is the probability that both students
walk to school?
49/90

49/900

7/30

7/145

Answers

Answer: 7/145

Step-by-step explanation:

The probability that the first student walks to school will be: = 7/30.

The probability of selecting the second student that walks to school will be: = 6/29.

Then we multiply both together and this will be:

= 7/30 × 6/29

= 7/145

Ms. Powell bought 12 cookies for $4.00 and Ms. Malley bought 8
cookies for $3.50. How much did each person pay for a cookie? And who
had the better deal?

Answers

Answer:

Ms. Powell paid around 33 cents for each cookie

Ms. Malley paid around 43 cents for each cookie

Ms. Powell had the better deal

Step-by-step explanation:

Divide the amount paid with the amount of cookies bought so 4 ÷ 12 = 0.3333... and 3.50 ÷ 0.4375...

I hope this helped!

1) Approximately ¢33 per cookie

2) Approximately ¢29 per cookie

Ms. Powell had a better deal

Cos=?

Help help help

Answers

Answer:

The answer is C. 35/37

Step-by-step explanation:

We know that cos Θ = adjacent/ hypotenuse

so the answer is 35/37.

Answer:

it's I believe it's (A) 12 / 37

Miguel went shopping for a new phone. The sales tax where he lives is 4%. What number should he multiply the price of the phone by to find the total plus tax in one step?

Answers

Answer:

A 0.4 as the tax percent.

Step-by-step explanation:

jordan has 10 ties, 3 suits, 5 belts, 8 shirts, and 4 pairs of shoes that he chooses from daily. How many different outfits can he put together?

Answers

Answer:

we can get 2 full outfits

HOPE IT HELPED

On a number line 8.29 would be located..... choose all answers that make the statement true

A)between 8 and 9
B) between 8.2 and 8.3
C) to the right of 8.39
D) between 8.28 and 8.30

Answers

A, B, and D I believe:)

Answer:

B and D

Step-by-step explanation:

D is being more detailed then A

What is the slope of the line that passes through the line
containing (-6, 1) and (4, 8)?

Answers

The slope is m=7/10


I hope it helps :)

smallest number to be subtracted from 32 to make it a perfect cube​

Answers

Answer:

2

Step-by-step explanation:

Answer:

2 is the smallest number

Which equation has no real solutions?
A. B^2+3b=-3
B.2c^22+4c = 9
C. 5c^2 - C= -2
D. 7g +1+3g^2= 0

Answers

Answer:D

Step-by-step explanation:

Need help finding the length of AC

Answers

Answer:

I would have to say that the length of AC is 22.5

Please need help, will give brainlist

Answers

C and E are correct! I hope this helps!

HELPPPPPPPPPPPPPPPPPPP

Answers

Answer:

-31

Step-by-step explanation:

8 - ( -5 * - 3 - 1) ÷ 2 - (6)² + 4

8 - (15 - 1) ÷ 2 - 36 + 4

8 - (14) ÷ 2 - 36 + 4

8 - 7 - 36 +4

1 - 36 + 4

-35 + 4 = -31

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

PLEASE I NEED THE ANSWER IN THE NEXT MINUTE

Answers

Answer:

Step-by-step explanation:

A

Answer:

96

Step-by-step explanation:

:)

In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.

Answers

Answer:

19.7°

Step-by-step explanation:

In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.

We make use of sine rule

TU/sin V = UV/sin U

9.8/sin 90 = 3.3/sin U

Cross Multiply

sin 90 × 3.3 = 9.8 × sin U

sin U = sin 90 × 3.3 /9.8

U = arc sin ( sin 90 × 3.3/9.8)

U = 19.7°

Factorize: ay - y - a + 1.


Answers

Answer:

I think the answer (A-1)(y-1)

A fan oscillates 250* and can be felt from a distance of 4 feet away . To the nearest tenth what area of the room can feel the wind from the fan? Use 3.14 for pi .

Answers

Answer:

[tex]A=256.67ft^2[/tex]

Step-by-step explanation:

From the question we are told that:

Fan oscillates [tex]\theta=250[/tex]

Distance [tex]d=>Raduis\ r=4 feet[/tex]

Since

 [tex]250\textdegree =180\textdegree +70\textdegree[/tex]

Generally the equation for the area A is mathematically given by

 [tex]Area=Area\ of\ semi\ circle\ + area\ of\ 70\textdegree sector[/tex]

 [tex]A=A_{sm}+A_{70\textdegree}[/tex]

Where

 [tex]A_{sm}=\frac{1}{2} \pi r^2[/tex]

 [tex]A_{sm}=\frac{1}{2} 3.14 4^2[/tex]

 [tex]A_{sm}=25.12ft^2[/tex]

 [tex]A_{70\textdegree}=\frac{1}{2}r^2 \frac{70\textdegree}{360\textdegree}[/tex]

 [tex]A_{70\textdegree}=\frac{1}{2}*4^2* \frac{70\textdegree}{360\textdegree}[/tex]

 [tex]A_{70\textdegree}=1.55ft^2[/tex]

Therefore the area A is given as

 [tex]A=A_{sm}+A_{70\textdegree}[/tex]

 [tex]A=25.12ft^2+1.55ft^2[/tex]

 [tex]A=256.67ft^2[/tex]

median of 22, 16, 14, 26, 32, 30​

Answers

Answer:

15

Step-by-step explanation:

cancel out from the sides till you have 1 number in the middle but in this case we have 2 numbers.

in a case like that you add both numbers and divide by 2 to get your answer

so 16+14÷2= 15

Median is the middle

Since there is an equal amount of numbers,6, you would need to take the average of the two numbers in the middle.

REMEMBER: always put it in ascending order first (0-10)

14, 16, 22, 26, 30, 32

Middle numbers are: 22 and 26

Take average: (22+26)/2 = 24

Therefore the median of this sequence is 24.

5 athletes are in a 100k race. How many different ways can they finish based on their order.

Answers

Answer:

It's 120 different ways I think

Step-by-step explanation:

please help, will give brainliest if right!

Answers

Answer:

a

Step-by-step explanation:

HELP , TIMES ALMOST UP!!!!!!

Answers

Answer:

0.8660254 or √3/2

Step-by-step explanation:

Answer:

√3/2

Hope this helps

Reduce each of the following fractions to its simplest form. a. 12⁄18 b. 48⁄54 c. 27⁄90 d. 63⁄77 e. 24⁄32 f. 73⁄365

Answers

Answer: A. 2/3 B. 8/9 C. 3/10 D. 9/11 E. 3/4 F. 1/5

Step-by-step explanation:

find the area of the irregular figure. PLEASE!!
The sides are: 3 in, 4 in, 4 in, 5 in, 7 in, 9 in
geometry

Answers

Answer:

A = [84]in^2

Step-by-step explanation:

5 x 3 = 15

4 x 2 = 16

9 + 4 = 13 x 4 = 52

52 + 15 + 16 = 84in

Traveling 315 feet in seven minutes. Traveling per minute? how far would it be in 10 minutes?

Answers

Answer:

45 per minute. 450 in 10 minutes.

Step-by-step explanation:

Distance/ Time

315/ 7 = 45

Unit rate x how far you need to go

45 x 10 = 450

Answer:

450 ft

Step-by-step explanation:

315/7 =  45 (eveyr minute 45 ft)

10x45 = 450

please help me out, i need it right now please.

Answers

The answer is B hopes this helps

What is the median of the following numbers: 9, 10, 4, 6, 3, 7, 8, 2, 5. 54 8 7 6

Answers

The median of the numbers would be 7.5

Julie is playing a game where she must flip 3 coins. If Julie flips all 3 coins and gets heads all three times, she wins. If Julie does not get heads all three times, she loses.

1/8


1/2


1/4

Answers

Answer:

1/8

Step-by-step explanation:

[tex](\frac{1}{2})^{3}[/tex]

NEED HELPPPPPPPPP ASAP

Answers

Can you please explain what I should do? I’m confused by the assignment sorry

Answer:

Tank A

Step-by-step explanation:

add it all up

4+8+12+16+20 = 60        5+10+15+20+25 = 75

60/75  =  4/5 = 0.8

2+4+6+8+10  = 30           3+6+9+12+15  =  45

30/45 = 2/3  = 0.667

0.8 is more than 0.667

Tank A has more fish.

Hey guys, could someone please help me answer question 3 (use the graph) ASAP and also I would like the working out~
thxx✨

Answers

Answer:

B. 5.6%

Step-by-step explanation:

Add all the visitors up which equals 4215.5 and do 236.9 divided by 4215.5 and you get 0.056 which converted to a percentage equals 5.6%. Hope this helps.

[tex]\sqrt{12} +9\sqrt{3\\}[/tex]

Answers

Answer:

11 square root of 3 is the answer

Explanation:
11 square foot is the answer
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