Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form.




64,16,4,…

This is a (geometric/arithmetic) sequence and the (common ratio/common difference) is equal to ____.

Answers

Answer 1

Step-by-step explanation:

this is clearly not a linear sequence (the terms don't have the same difference).

so, it has to be a geometric sequence.

the common ratio is r.

s2 = s1 × r

16 = 64 × r

r = 16/64 = 1/4

control :

s3 = s2×r

4 = 16 × 1/4 = 4

correct.

Answer 2

Common ratio is 1/4

What is geometric progression ?

A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:

a, ar, ar2, ar3, ar4, and so on.

Where a is the first term and r is the common ratio.

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4

gives the next term. In other words, [tex]a_n=a_1r^n^-^1[/tex]

Hence, common ratio r = 1/4

To learn more about the geometric progression here:

https://brainly.com/question/29657988

#SPJ7


Related Questions

An online survey asked a sample of high school students their favorite type of music, and the results were tabulated above. Find the probability that a person chosen at random did not choose pop music, given that the student is a sophomore or a junior.

Answers

Answer:

87/103

Step-by-step explanation:

Which expression is equivalent to 5(x + 7)?​

Answers

Answer:

5x+35

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Solve the linear system using elimination.
46) -2x+4y=-2
6x - y=28

Answers

Answer:

x = 5, y = 2

Step-by-step explanation:

just trust me, I used a calculator

Nolan flipped his lucky coin 13 times and got 8 heads. Nolan used these numbers to estimate the probability of getting a head with his lucky coin. What is the estimated probability of Nolan flipping a head with his lucky coin

Answers

Answer:

8/13 = 0.615

Step-by-step explanation:

Nolan is only using these numbers, not actual probabilities, to formulate his results. Therefore, only using these numbers, there is an 8/13 chance of Nolan flipping a head with his lucky coin, as he flipped heads 8/13 times.

Answer:

13 time /8 head

= 8/ 13

= 0.615

find the mean of 100​

Answers

Answer:

100.

Step-by-step explanation:

100 + 0 = 100

100 ÷ 1 = 100

The answer is 100 explanation=

The sum of a number times 7 and 15 is at least -19

Answers

Answer:

x(7+15) [tex]\leq[/tex] -19

Step-by-step explanation:

what is c3 - 1 when c = 4

Answers

The answer to your question is 11.
4x3=12-1=11
You just have to substitute
c3-1
4*3-1
12-1
=11

Does 28/4 have a remainder

Answers

No but it equals to 7 :)

Remainder=0

Quotient=7

Thanks!!

Okie help help math math math math

Answers

Answer: 33

Step-by-step explanation: In the problem, you are given the figure with the following:

2x+3 and 3x+12

Method: Lets set this into an equation. Remember that straight lines add up to 180°.

2x+3+3x+12=180°    Combine like terms.

5x+15=180°

5x=165°

x=33°

You can always plug in 33° in the expression that was set to make sure it does give you 180°.

Hope this helps.

Answer:

33

Step-by-step explanation:

Emily is entering a bicycle race for charity. Her mother pledges $0.20 for every 0.75 miles she bikes. If Emily bikes 24 miles, how much will her mother donate?

Answers

Answer:

4 dollars and 80 cents

Step-by-step explanation:

24 times 20 is 480 but its money so u would say $4.80.

If f(x) = 4x2 + 2x + 7, find the value of f(-5).
=
A. -103
B. -83
C. 97
D. 117

Answers

D. 117
4(5)^2+2(5)+7
4(25)+(10)+7
100+10+7= 117

How ur wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at the end of one year, including the interest?

Answers

The amount Howie need to pay back at the end of one year, including the interest is $26,000

Given:

Interest rate = 4%

Cost of car = $25,000

Time = 1 year

Amount of interest = Principal × Rate × Time

= 25,000 × 4% × 1

= 25,000 × 0.04 × 1

= $1,000

Amount to be paid = Amount of interest + Cost of car

= 1,000 + 25,000

= $26,000

Therefore, the amount Howie need to pay back at the end of one year, including the interest is $26,000

Learn more about interest rate:

https://brainly.com/question/1115815

The amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.

What is simple interest?

Simple interest is a finance charge that does not compound.  It is calculated on the principal portion of a loan only.

The formula for computing simple interest is Principal x APR x Number of years.

Data and Calculations:

Car loan = $25,000

Simple interest rate = 4%

Period of loan = 1 year

Principal + Interest for 1 year = $26,000 ($25,000 x 4% x 1).

Thus, the amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.

Learn more about simple interests at https://brainly.com/question/25793394

round 3,817,453 to the nearest 100

Answers

Answer:

The nearest hundredth would be 3,817,500

Step-by-step explanation:

The hundreds place is the four and the five behind it rounds the number to a up to a 5

The correct answers would be 3,817,500

PLZ answer correctly! Brainliest!

Answers

Answer:

[tex]A=\left(-1\dfrac{5}{5}\right)=(-2)\\\\B=\left(-\dfrac{4}{5}\right)\\\\C=\left(\dfrac{3}{5}\right)[/tex]

Step-by-step explanation:

Look at the picture.

[tex]\dfrac{2}{10}=\dfrac{1}{5}[/tex]

Find the slope of the line that goes through the points (-4,4) and (4,6)

Answers

Answer:

1/4

Step-by-step explanation:

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

m=(6-4)/(4-(-4))

m=2/(4+4)

m=2/8

m=1/4

the price of a stock rose from a yearly low of $9.68 to $18.61. what was the stock percent increase from its low price that year?


please help me, thankyou

Answers

Answer:

From the time Ms. Cruz purchased a stock till closing time that day, the value of the stock changed by -27.2 points. During that time, the stock value

changed at a steady rate of -6.4 points per hour.

Determine if the sequence is geometric . If it is , find the common ratio , the explicit formula and the recursive formula .


1. -40 , 20 , -100 , 500


2. 4 , 20 , 100 , 500


3. 4 , 24 , 144, 864


5. 3 , -12 , 48 , -192

Answers

Step-by-step explanation:

if it is a geometric sequence, then

sn = sn-1 × r

with r being the common ratio.

1.

s2 = s1 × r

20 = -40 × r

r = 20/-40 = -1/2

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

-100 = 20 × -1/2 = -10

this is wrong, so, it is not geometric.

2.

s2 = s1 × r

20 = 4 × r

r = 20/4 = 5

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

100 = 20 × 5 = 100

s4 = s3 × r

500 = 100 × 5 = 500

this is all correct, so, it is geometric.

sn = sn-1 × 5

sn = s1 × 5^(n-1) = 4 × 5^(n-1)

3.

s2 = s1 × r

24 = 4 × r

r = 24/4 = 6

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

144 = 24 × 6 = 144

s4 = s3 × r

864 = 144 × 6 = 864

this is all correct, so, it is geometric.

sn = sn-1 × 6

sn = s1 × 6^(n-1) = 4 × 6^(n-1)

5.

s2 = s1 × r

-12 = 3 × r

r = -12/3 = -4

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

48 = -12 × -4 = 48

s4 = s3 × r

-192 = 48 × -4 = -192

this is all correct, so, it is geometric.

sn = sn-1 × -4

sn = s1 × (-4)^(n-1) = 3 × (-4)^(n-1)

Which table of values represents possible solutions to
the equation y = 0.7x - 4.3?
х
49
у
30
X y
49 40
19 19
-11-12
-31-16
19 19
-11-12
-31 -26
B
Х
у
30
49
19 9
-11-12
-31 -26
Х
у
49 40
19 19
-11 -2.
-31 -16
D

Answers

Step-by-step explanation:

it will be c as shown in the photo

Tessa feeds her dog,Roscoe 3 3/4 cups of dog food per day.if she buys a bag of food that contains 165 cups, how many days will the bag last?

Answers

44 days 165 ÷ 3 3/4 = 44

I been on this for days and no one can give me a right answer ​

Answers

Answer:

2x²=6x-5= x=3+i/2

-x²-10x=34= x = -(5+3i)

Step-by-step explanation: 2x²=6x-5 and -x²-10x=34 are the answers

A bag contains three green marbels and eight white marbels. suppose in marble is randomly selected. what are the odds in favor of picking a white marble?

A. 8 to 3
B. 8 to 11
C. 3 to 8
D. 3 to 11

Answers

Answer:

A. 8 to 3

Step-by-step explanation:

since its in favor, the amnt of white marbles goes first.

An 80 ounce bottle of apple juice contains 32 ounces of water and 64 ounce bottle of orange juice has 48 ounces of water which juice has a greater percent of water?

Answers

The 64 ounce bottle of orange juice would have the greater percentage of water (75%) while the bottle of apple juice has only 40%

HELP!!

Name the property below

(2+7) +3= 2+(7+3)

A. associative
B. Commutative

Answers

Associative property!
The property states that when three or more numbers are added (or multiplied), the sum (or the product) is the same regardless of the grouping of the addends!
Hope this helps!

Simplify.

57.8 – 4.07

Answers

Answer:

53.73

Step-by-step explanation:

HELP PLEASE!! WILL GIVE BRAINLIEST TO CORRECT QNSWER.

Use the quadratic formula to find the solution to the quadratic equation given below.

x²-x+¼=0​

Answers

X = 1/2 =0.500

Mark as brainliest


Using the formula F = 9/5 C + 32, convert 25° Celsius (C) to
degrees Fahrenheit (F).
A.) 57°
B.) 77°
C.) 257°
D.) 269.5

Answers

Answer:77°

Step-by-step explanation:

Since we are trying to convert Celsius to Fahrenheit, we just need to replace C in the equation with the value of 25°.

[tex]F=\frac{9}{5}C+32[/tex]

[tex]F=\frac{9}{5}25+32[/tex]

[tex]F=45+32[/tex]

[tex]F=77[/tex]

The answer is 77°

Writing
Tammy bought some books. She spent a total of $45 after a discount of S6 off of her total purchase. Each book cost $3. How many books did she buy?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 45, 6, and 3. Let b represent the number of books.
X
5
o 16+ = 0
(b) Solve the equation in part (a) to find the number of books.
b = 0

Answers

Answer:

b=17

Step-by-step explanation:

b=(45+6)/3

b=51/3

b=17

she bought 17 books since the original price of evereything was 51 dollars before the discount of 6 dollars.

Use the slope formula to determine the slope of the line containing the two points (4,-8) and (-1,-2)

Answers

the slope is 6/-5

subtracting the y values gives you -2-(-8)=6

subtracting the x values gives you -1-4= -5

Given:-

Two points (4,-8) and (-1,-2) .

To find :-

The slope of the line through these points .

Solution :-

As we know that the slope is ,

[tex]\longrightarrow\sf Slope = y_2-y_1/x_2-x_1[/tex]

Substitute the values ,

[tex]\longrightarrow[/tex] Slope = -8 -(-2) / 4 -(-1)

[tex]\longrightarrow[/tex] Slope = -8 +2/4 + 1

[tex]\longrightarrow[/tex] Slope = 6/5

Hence the slope of the line is 6/5 .

Find the slope of the line that passes through the given points. (4, - 3) and (9. - 7) Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The slope is (Type an integer or a simplified fraction.) O B. The slope is undefined.​

Answers

Answer:

-4/5

Step-by-step explanation:

Answer: A. -4/5

Step-by-step explanation:

Slope Formula: y2 - y1 / x2 - x1

-7 - (-3) = -4

9 - 4 = 5

slope = -4/5

Correct me if I am incorrect.

5th Grade Science Very Easy plz help me :3 NO LINKS

What makes a balloon electrically charged?

Adding more air to the balloon
Placing the balloon against a wall
Rubbing the balloon against your hair
Running water over the balloon

Answers

Answer:

rubbing it against your hair it causes friction and with friction comes energy

C. Rubbing the balloon against your hair can cause electric charge
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