Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form
12,6,3

Answers

Answer 1

Answer:

The sequence is geometric

The common ratio is 0.5

Step-by-step explanation:

In the arithmetic sequence, there is a common difference between each two consecutive terms

In the geometric sequence, there is a common ratio between each two consecutive terms

Let us check the given sequence

∵ The first 3 terms are 12, 6, 3

∵ 6 - 12 = -6

∵ 3 - 6 = -3

∵ There is no common difference between the consecutive terms

The sequence is not an arithmetic sequence

∵ 6 ÷ 12 = 0.5

∵ 3 ÷ 6 = 0.5

∴ There is a common ratio between each two consecutive terms

The sequence is a geometric sequence

The common ratio is 0.5

Answer 2

Given sequence is geometric sequence and common ratio between consecutive term is  [tex]\frac{1}{2}[/tex] .

In Arithmetic sequence , common difference between consecutive terms should be equal.

In Geometric sequence, common ratio between consecutive terms should be equal.

Given sequence,     12, 6, 3, ...

  Since, common difference =  [tex]6-12\neq 3-6[/tex] , this is not arithmetic sequence.

Common ratio =     [tex]\frac{6}{12}=\frac{3}{6}=\frac{1}{2}[/tex]  Because common ratio is are equal. Thus, given sequence is geometric sequence.

Learn more about sequence here :

https://brainly.com/question/17648677


Related Questions

Find the length of the side x in simplest radical form with a rational denominator.

Answers

Answer:

2.449489743

Step-by-step explanation:

What are the factors of x2+3x-40

Answers

(x-5)(x+8)

Let's factor
x
2
+
3
x

40
x
2
+
3
x

40
The middle number is 3 and the last number is -40.

Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?

We need two numbers that...
Add together to get 3
Multiply together to get -40
Can you think of the two numbers?

Try -5 and 8:
-5+8 = 3
-5*8 = -40

Fill in the blanks in
(x+_)(x+_)
with -5 and 8 to get...
(x-5)(x+8)

Factor completely n2+3n+2

Answers

I’m assuming you mean n^2 + 3n + 2?

The 2 on the right has factors of 2 and 1, which can also add together to get three. We will use these numbers to factor.

We are left with:
(n+2)(n+1)

This is it’s factored form. Good luck!

Priya bought x grams of flour. Clare bought 3/8 more than that.
Select all equations that represent the relationship between the amount of flour that Priya bought, x and the amount of flour that Clare bought, y
a) y= 3/8x
b) y = 5/8x
c) y= x+ 3/8x
d) y= x - 3/8x
e) y= 11/8x

Answers

Answer:

It would be C and E

Step-by-step explanation:

I know I'm extremely late but for anyone else who needs to know here you go :)

Un automóvil recorre 1000 Km y consume 95 L de gasolina. Si la gasolina tiene un precio de $18.75 por cada litro ¿cuánto cuesta recorrer cada Km, en $/Km? (redondear a tres decimales)

Answers

Answer:

$1781.25

1 x 95= 95

18.75 x 95= 1781.25

Question 3 of 12

A jeweler needs exactly 19,000 beads to make jewelry.

He buys 48 boxes of beads. Each box has 400 beads.

He completes the calculations below and concludes that he has bought enough boxes of beads to make all of the jewelry.


48

×

400

=

(

40

×

400

)

+

(

8

×

400

)

=

16

,

000

+

3

,

200

=

19

,

200

Which explains what the jeweler does to support his conclusion

Answers

Answer:

See explanation

Step-by-step explanation:

Given

[tex]Needed = 19000[/tex]

Required

Support the jeweler's conclusion

From the question, we have that:

[tex]Boxes = 48[/tex]

[tex]Bead = 400[/tex] per box

So, he bought a total of:

[tex]Total = 48 * 400[/tex]

[tex]Total = 19200[/tex]

Since, he needed exactly 19000 and he has 192000, we can conclude that he has enough beads

what is the circumfernce of a circle with a diameter of 10​

Answers

Answer:

C≈31.42

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·10≈31.41593

You and your friends decide to play video games online together on Saturday. One particular game charges a one-time fee of $10 to download and $3.50 per hour of play.



1) Write an equation to represent this situation.

2) How much will it cost you to play the game for 5 hours? Show your work.

Answers

Answer:

Step-by-step explanation:

1. Let's see. One time $10 and $3.50 per hour. So $10+$3.50x(where x represents number of hours)

2. Put in the value of x(substitute it).

$10+$3.50x

$10+$3.50(5)

$10+$17.50

Answer-$27.50

Hope it helps!

3x - 4 < 8 and 2x+ 2 > 4
20 points crq

Answers

Answer:

x<4 and x>1

Step-by-step explanation:

1) 3x-4<8

Add 4 to both sides first to isolate x.

3x-4<8

  +4 +4

3x<12

Divide both sides by 3.

3x<12

/3  /3

x<4

2) 2x+2>4

Subtract both sides by 2 to isolate x.

2x+2>4

   -2  -2

2x>2

Divide both sides by 2.

2x>2

/2  /2

x>1

Hope this helped!! Have an amazing day :3

1) Caleb earned $28 for 4 hours of work. How much will he earn if he works 1 for 7 hours? (HINT: Make a table!) $16 or $39 or $49 or $ 56​

Answers

Answer:

Step-by-step explanation:

First, figure out how much he makes each hour. To do this, we divide 28 by 4 which is 7. This means he makes 7 dollars an hour.

1            7

2           14

3          21

4          28

5           35

6          42

7           49

This goes on and on, but we need to know how many he makes for 7 hours. The answer is 49!  

Answer:

The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.

Step-by-step explanation:

We know that the data points given by (x,y) are in direct variation if:

 for each (x,y)

We are given data as:

Caleb’s Earnings Hours(x)        12          15         18         21

Earnings (in dollars)(y)              140        170      200     230

So, we could see the ratio as:

Hence, we could see that each ratio are not equal.

Hence, the relationship between the earnings and the number of hours does not represents a direct variation.

-6(x - 6) = x(16 - 7)
Help please

Answers

Answer:

the answer would be x equal 2.4

Step-by-step explanation:

sorry for my bad handwriting

is this correct or not​

Answers

Answer:

yes it is u did a good job

HELP WITH 4. AND 5. Thanks in advance

Answers

here’s the answers hope this helps

miles say that, when a is any integer greater than 0, the value of a^-3 is always less than -a^3 because the exponent in a^-3 is less than the exponent in -a^3. is miles reasoning correct?​

Answers

Yes, Miles is correct.

5/6x-7/6=8 what Is the value of x

Answers

Answer:

x=11

Step-by-step explanation:

IF YOU ARE REALLY GOOD AT MATH PLEASE HELP ASAP!! Select all the correct answers on the table

Answers

Row 1:the second one down
Row2.the first and last one

A circle has a diameter of 60m. What is its circumference?

Answers

The circumference would be 188.5m

PLASE ANSWER THIS!! MARKING BRAINLEIST

Answers

1. 59049

2. a^12

3. 8a^6

4. 16a^ 10 b^6

5. 9a^4

6. s^6 t^12

7.  s^5 / t^5

8. 6561

9.  s^2 t^8 / r^2

10.  81a^2 b^6

HELP ASAP Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500? please show work i will make you brainlist

Answers

Answer:

you can have 35 tickets

Step-by-step explanation:

Assuming part a is correct, how do you do b and c?

Answers

Step-by-step explanation:

B. Yes, we are 99% confident that the population mean is within the interval.

C. Yes, 225 is below the interval minimum, so it is reasonable to conclude the average cholesterol level is greater than 225 mg/dl.

D. No.  Increasing the sample size would decrease the margin of error, so the ends of the interval would move closer to the sample mean of 251.9.  So the interval minimum would still be higher than 225.

Helppppp plsss?!?!?!?!?!

Answers

Answer:

153.86

Step-by-step explanation:

3.14 x 7 x 7=153.86

Judge the following reasoning as true or false.
You are working for a tech company. You came up with an algorithm that performs a needed operation on n inputs in order of n operations. Someone else in the company simultaneously came up with an algorithm that performs the same task in order of log(n) operations. Then it follows necessarily that your algorithm will require more operations to perform this task and is therefore inferior and should not be used.
a) true
b) false

Answers

Answer: B

Step-by-step explanation:

Question 1/ Which of the following describes the slopes of parallel lines? 1. same slope 2. zero slopes 3. different slopes 4. have no slope

Question 2/ what is the slope of the line represented by y = -5x + 2?

Question 3/ which of the following would be parallel to the graph of 2x -3y = 18?

Question 4/ What is the slope of the line that is parallel to the graph of y = -4x - 12​

Answers

i think it’s b but i could be wrong

Use polynomial identities to prove that 63^2=(60+32)^2

Answers

Answer:

Step-by-step explanation:

I'm not sure, but I think you mean

63^2 = 3969

60^2 =         3600

2*3 * 60 =      360

3^2                    9

Total =         3969

This comes from x^2 + 2*x*y + y^2

where

x = 60

y  = 3

Jana and Jenn are training to run a race. Jana runs 3 miles in 1/3 hour. Jenn runs 5 miles in 3/4 hour. Who runs faster, and what is the unit rate of her speed in minutes per mile?

Answers

Answer:

Jenn runs faster at 9 minutes/mile.

Step-by-step explanation:

Jana runs 3 miles in 1/3 hour.

1/3 hour is equivalent to 1/3*60 = 20 minutes

The ratio time/distance is the reciprocal of the speed and is greater as the speed is lower and vice-versa.

This ratio for Jana is 20/3=16.7 minutes/mile

As for Jenn, she runs 5 miles in 3/4 hour.

3/4 hour is equivalent to 3/4*60=45 minutes

The ratio time/distance is 45/5=9 minutes/mile

Since Jenn has a lower ration, her speed is greater than Jana's, thus Jenn runs faster.

The temperature at 4:00 p.m. was 2.5'F. It
dropped 0.75°F each hour for the next 4 hours.
What was the temperature at 8:00 p.m.?

Answers

Answer:-0.5; 0.75*4=3, 2-3=-0.5

Step-by-step explanation:

Answer:

-0.5...............

1079 divided by 4 Yeah Also whoever helps thank you :D

Answers

Answer:

269.75

Hope this helps:)

Step-by-step explanation:

1. I mark as brainliest​

Answers

Answer:

d

Step-by-step explanation:

2nd one not 100% sure

Find atleast 5 numbers between 1/2 and 1/3

Answers

0.4 0.345 0.429 0.377 0.448

The angle measures of triangle QRS are given:

The measure of angle Q is (5x−15)°.
The measure of angle R is 75°.
The measure of angle S is (3x)°.
What is the value of x?

Answers

Answer:

x = 15°

Step-by-step explanation:

(5x-15) + 75 + 3x = 180

8x + 60 = 180

8x = 120

x = 15°

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