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

Answer 1

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)


Related Questions

11
Y1
0
4
1
12
2
36
3
108
Write an explicit function

Answers

56566965577553666645556566667

Ella is reading a map with a scale of 1 in. = 20 mi. On the map, the distance Ella must drive is 4.25 in.

How many miles will Ella drive?

Answers

Answer:

85 miles

Step-by-step explanation:

Solve by proportions:

1 in ⇒ 20 mi4.25 in ⇒ x

x = 4.25*20 / 1 = 85 mi

Scale is 1in =20mi

Distance in map=4.25in

Actual distance

4.25(20)85mi

Which equation below represents an equation in standard form?

Answers

Answer:

C

Step-by-step explanation:

standard form is ax + by = c, which is true for the third option.

The mean time it takes a certain pain reliever to begin reducing symptoms is 20 minutes with a standard deviation of 4.39 minutes.
Assuming the variable is normally distributed, find the probability that it will take the medication less than 25 minutes to begin to work.
A. 0.8729
B. 0.3708
C. 0.8708
D. 0.3729

Answers

20+25 is 45 so 4:39 and add that is A . My best guess

Susan reads a book at a rate of 1 page every 3 minutes. if her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 pages ?

Answers

Answer:

54

Step-by-step explanation:

okay so the method it sounds like is multiplication so first you would skip count by 3's like this 3, 6, 9,12,15,18,21,24,27,30  and while your doing that count on a paper or anything you can wright on because you don't have 18 fingers anyway when you mark your 18th tali mark then if you remember or if you wrote down the numbers  then that's your answer

Solve: 5(x+2) = 3x + 5

Answers

Answer:

-2.5

Step-by-step explanation:

5(x+2) = 3x+5

5x+10=3x+5

5x-3x=5-10

2x=-5

x=-2.5

Answer: -5/2

Step-by-step explanation: the explanation and the answer above, -2.5 is correct but it can be simplified to -5/2 for those working in Apex

Which numbers complete the blanks when solving the equation cos(x+2π) = - √2/2 over the interval [0,2π]

Answers

Answer:

x = 3π/4, 5π/4

Step-by-step explanation:

cos(x+2π) = -√2/2, [0,2π]

cos(x)cos(2π)-sin(x)sin(2π) = -√2/2

cos(x) = -√2/2

x = 3π/4, 5π/4

Remember that the cosine function is periodic, so cos(θ+2π)=cos(θ).

PHOTO ATTACHED PLEASEEEE HELPPPP!!!!!!!!!!

Answers

Answer:

15x^2-3x-1

Step-by-step explanation:

All we have to do is collect like terms and calculate! Hope this helps!

What is equivalent to 10/100

Answers

Answer:

1/10

Step-by-step explanation:

10/100

Dividing both sides by 10

10 ÷ 10/100 ÷ 10

1/10

Hence,

10/100 is equivalent to 1/10

Answer:

Decimal: 0.1  (One tenth)

Fraction: 1/10

Percentage: 10%

Step-by-step explanation:

For decimal that would be 10% out of 100% which is what 10/100 is as a percentage. The fraction would have the numerator and denominator divided by 10.

The decimal would be equivalent when it is turned into a fraction 1/10 which is equivalent to 10/100.

I Hope this Helps

The teen club had a cupcake sale.
They sold 2/3 of their cupcakes in the morning. They sold 1/6 of their cupcakes in the afternoon. They sold 200 cupcakes altogether.
How many cupcakes were left to sell?

Answers

40. Let C be the total number of cupcakes. Then 2/3 x C + 1/6 x C = 200.

Combining , 5/6 x C = 200. So C = 240.

240–200= 40

Erika drinks at least 40 ounces of water a day

Answers

Answer:  40 ounces or 0.3125 of a gallon

i didnt quite understand what you were asking but here is it broken down. :)

please help ill mark brainliest​

Answers

= 60

( i dont know how to explain it , to many steps lol :3)

A straight line has the point (4, 2) and has the slope 1. What is its y intercept?

Answers

Answer:    -2

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

Work Shown:

m = 1 is the given slope

The point (x,y) = (4,2) is on the line

Use slope intercept form to find the y intercept

y = mx+b

2 = 1*4 + b

2 = 4 + b

2-4 = b

-2 = b

b = -2 is the y intercept

Ax+2y=10 through the point (4,3)

Answers

Answer:

can you give more context to the question and I will answer it in the comments? thanks!

Answer:

Slope-intercept form y=10x-37

Point slope form y-3=10(x-4)

Step-by-step explanation:

Help me plz it’s number 11 I need this urgent

Answers

Answer:

f = -9

Step-by-step explanation:

3(x)

3(-9)

-27

Select the correct answer from each drop-down menu. Identify the type of chart described and complete the sentence. A (blank) chart shows open and close prices and highs and lows, but over a long time period it can also show pricing (blank) .

Answers

Based on the information given, it can be deduced that the chart that is being described is the OHLC chart.

It should be noted that an open-high-low-close chart(OHLC) chart simply means a type of chart that's used to illustrate the movements in the price of a financial instrument for a particular period of time.

The vertical line on the chart illustrates the price range over a unit of time. It's useful in assessing volatility as it shows the full price range of the period.

Learn more about charts on:

https://brainly.com/question/14323743

Answer:

Candlestick & trends.

Step-by-step explanation: Got it correct on edmentum!

(2+i)(4-i)

Write it out in the form of a + bi

Can you guys help me out please?

Answers

Answer:

9+2i

Step-by-step explanation:

FOIL method, see attached pic

An office administrator earns $16 an hour, and she works 48 hours a week.
What is her weekly wage?

Answers

Answer:

768

Step-by-step explanation:

16x48= 768

Answer:

768

Step-by-step explanation:

you multiply 16 times 48 to find the weekly wage

(b) A sum of money was to be shared among three friends Keisha, Tracey, and Kerry-Ann, in the
ratio 7:9:11 respectively. If Kerry-Ann received $3,300.00, find the sum of money that was
between the three friends.

Answers

The sum of the money that was  between the three friends is $8100.

Let x represent the amount of money given to the three friends to share.

Keisha, Tracey, and Kerry-Ann shared the money in the  ratio 7:9:11 respectively.

Since Kerry-Ann received $3300, hence:

(11/27) * x = 3300

11x/27 = 3300

x = $8100

The sum of the money that was  between the three friends is $8100.

Find out more at: https://brainly.com/question/2263981

Find the sum of the first 20 terms of the sequence 2, 8, 14, 20, . . ..

Answers

Step-by-step explanation:

the rule is obviously to always add 6.

so,

2, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 80, 86, 92, 98, 104, 110, 116

Answer:

1180

Step-by-step explanation:

1180 is correct answer

A therapist wants to study the effects of yoga and meditation on stress relief. She has 60 volunteers who experience varying levels of stress. Half of the participants will be assigned to practice yoga for one month and the other half will practice meditation. Before the experiment begins, all of the participants will be asked to rate their stress levels on a scale from 0 to 10, with 0 representing "no stress” and 10 representing "highest level of stress.” At the end of one month, the participants will be asked to rate their stress level again. The differences in stress levels will be compared. Which of the following describes a completely randomized design for this experiment?

Answers

Answer:

The answer is C

Step-by-step explanation:

I got a 100% on edge

Answer:

The answer is "Yes, but the effects of the first treatment may affect the results of the second treatment."

Step-by-step explanation:

got it right on edge

If ^ ABC ≈ ^ DEC, what is the value of x?

Answers

Answer:

D. x=1

Step-by-step explanation:

4x-1=x+2

you cancel out the 1 by adding it to both sides so then it will be 4x=x+3

then subtract x by both sides then it will be 3x=3

then simplify then it will be x=1

please help me out y'all ​

Answers

first graph= negative association

second graph = no association

third graph = positive association

Your current salary is $30,900 per year. You’ve just accepted a new position at a company that’s to pay you $32,500 per year. How much more will you get per month at the new job? (Round your answer to the nearest dollar.)

Answers

Answer: $133

Explanation:

\cfrac{32\ 500 - 30\ 900}{12} = \$133

12

32 500−30 900

=$133

How many different five-letter
arrangements can be made from the
letters in the word "PLUTO"?
5
25
60
120

Answers

Answer:

my guess would probably be 5 but it could also be 25. (id like to say the answer but i cant cause this should be something for you to decide the answer not me.

Step-by-step explanation:

I hope this helps you!

Identify the range of values for x.

Answers

Answer:   Overall, the steps for algebraically finding the range of a function are:

Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

Find the domain of g(y), and this will be the range of f(x). ...

If you can't seem to solve for x, then try graphing the function to find the range.

Step-by-step explanation:

Please help me it’s due in 12 minutes also pls explain why

Answers

Root 25 is the rational number as it equals 5

valor de la incognita 9x+4 =5x+12?

Answers

Answer:

9x+4=5x+12

9x-5x=12-4

4x=8

x=2

Hey there!

Solve for x :

Answer :

x = 2 ✅

Explanation:

9x + 4 = 5x + 12

>> Substract 4 from both sides :

9x + 4 - 4 = 5x + 12 - 4

9x = 5x + 8

>> Substract 5x from both sides :

9x - 5x = 5x - 5x + 8

4x = 8

>> Divide both sides by 4 :

4x / 4 = 8 / 4

x = 2

Therefore, your answer is x = 2.

Learn more about equation :

https://brainly.com/question/20223429

Pls help I’ll brainlest ASAP

Answers

Answer:

Slope: -1/4x

y-int: 2

Step-by-step explanation:

Can someone help me with this

Answers

Answer:

10 square inches

Step-by-step explanation:

[tex]area \: formula \: = \frac{1}{2} bh[/tex]

h= 5 inches

b= 4 inches

[tex] \frac{1}{2} \times 4 \times 5 = 10[/tex]

Hi, I already answered this question on your other post (seems like you posted this question twice): https://brainly.com/question/26075347 (check that link out)

Other Questions
The Albany Plan of Union was meant to address Guys please i need help on this, i will give brainliest to the right answers Can someone plz help me plz Im begging!! :( What is 10Million divided 10Million its a very hard question you know. Approximately what portion of the box is shaded blue?A.3/5B.2/3C.9/10 Which of the following best describes the tone of Franklins writing?Group of answer choicespractical and straightforwardanxious and judgmentalregretful and solemnhumorous and relaxed A ____ is a rectangular object you can click; when you do, its appearance usually changes to look pressed. Mechanical energy is similar to thermal energy because they both? Who played cleopatra in the caesars sportsbook commercial. What if the form of a piece of chalk? Explain how to graph a line when given the standard form Ax + By = C of a linear equation. PLEASE HELP ME Question is in pictureIn parallelogram LMNO what is the measure of angle M? Martha is in front of Joseph. Joseph is _______________ of Martha.tobehindbnext to itcbeforedabove br.uh its like 12:00 am for me. Refer to The Birthmark by Nathaniel Hawthorne in Journeys in Literature: American Traditions.Respond to the prompt.Authors use paradox to present ideas that, on the surface, seem contradictory. But with deeper analysis, readers figure out that the ideas together make sense. In addition, the intentional pairing of opposing ideas can enhance their meaning or even create new, unexpected meaning. What are some examples of paradox in The Birthmark? How does Hawthornes use of paradox affect your understanding of the characters and the plot? Use evidence from the text to support your answer. Given the graph below, find the slope. A. -3/2B.3/2C -2/3D. 2/3 HELP MEPLZPLZPXLZOSNSJSJSJSSJJS How does the computer help me with school work Between what two longitues is the UnitedStates? How would you write 5 times a number Y?