what is the nth term of 1/3 4/7 7/11 2/3 ​

Answers

Answer 1

Answer:

[tex]\frac{1+3(n-1)}{3+4(n-1)}[/tex]

Step-by-step explanation:

First find the pattern.

1/3 gets 5/21 added to it but doing that to 4/7 does not get 7/11, so it's nto normal adding.

if you multiply 1/3 gets 12/7, but if you multiply that by 4/7 you don't get 7/11 so it's not normal multiplcation.

I would next try only adding to the numerator and denominator separately.  

so 1/3 gets 3 added to the 1 and 4 added to the 3.  Doing that again gets us (4+3)/(7+4) = 7/11 and doing it again gets us 10/15 = 2/3.  So that is the right answer.

So we know what is happening.  if you start with 1/3 and increasingthe numerator by 3 and denominator by 4 then we know it's going to look like (1+3(n-1))/(3+4(n-1)) because the first term  is when n=1 and we want that to cancel out.  You can also simplify it and get (3n-2)/(4n-1)

Let me know if it doesn't make sense.  


Related Questions

Can somebody pls help I’ll give brainless

Answers

Answer:

$2

Step-by-step explanation:

bill = $10

tip = 18%

tip amount = tip % of bill

=18/100 * $10

=$180/100

=$1.8

=$2

Find the missing angle

Answers

Answer:

25

Step-by-step explanation:

[tex]x = 90 - 65 = 25 degrees[/tex]

The two outside lines form a right angle ( represented by the square). A right angle is 90 degrees.

Subtract the known angle from 90.

X= 90-65 =25

X = 25 degrees

I have to solve for x in a diagram. it is a right triangle, cut into a smaller right triangle and a trapezoid. The cut measure 6, the height of the triangle is 12, and the known part of the base is 9. X is the rest of the base.​

Answers

the answer is in the picture

(10 x 10^-3) - (2 x 10^-6)

Simplify the problem and express the answer in scientific notation. Show your work.
Please help!!!

Answers

Answer:

9.998 x [tex]10^{-3}[/tex]

Step-by-step explanation:

ANSWER:

9998 x 10^-6

[tex]{{hope it helps}}}[/tex]

PLEASE HELP BRO IM LOSING MY MIND (if u could explain how with the answer THATD be sick)

Answers

Answer:

y = (x+3)(x+2)(x+1)

Step-by-step explanation:

so how to determine that...

1) it has to be a third order equation (x^3) since it changes direction two times

2) it crosses the x axis at -1,-2,-3 so (x-1),(x-2),and (x-3) are factors

Which sequence is geometric?

Answers

Answer:

4th option

Step-by-step explanation:

in geometric sequences the number is multiplied or divided by same number continuously

in the 4th option we can see that the number 1 is multiplied by 4 continuously so the correct answer would be that.

Put the following equation of a line into slope-intercept form, simplifying al
fractions.
2y - 3x = 18

Answers

Answer:

Step-by-step explanation:

Simplifying

2y + -3x = 18

Reorder the terms:

-3x + 2y = 18

Solving

-3x + 2y = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

-3x + 2y + -2y = 18 + -2y

Combine like terms: 2y + -2y = 0

-3x + 0 = 18 + -2y

-3x = 18 + -2y

Divide each side by '-3'.

x = -6 + 0.6666666667y

Simplifying

x = -6 + 0.6666666667y

what is the mean and median of 4,9,26,20,23,0,37??

Answers

Answer:

the median is 20 and the mean is 17

Step-by-step explanation:

Choose a strategy and solve. Enter your answer using digits. You may need to use scratch paper or other objects.

Jim is helping his dad cook hamburgers for his family and friends. There are 15 people. Each person wants two hamburgers. Three people want hamburgers with cheese. Two people want hamburgers with mustard. Two people want hamburgers with ketchup. The rest want them plain. How many plain hamburgers will Jim and his dad make?

Answers

Answer They will make 30 hamburgers, 16 of them are plain

Step-by-step explanation:

30-6-4-4=16

T={(-9, -8), (-3, 7), (7, -7), (-9,0)}

Answers

Answer:

hey moderators can you just comment like you dont have to ban me 6 times i just want one comment and ill stopphey moderators can you just comment like you dont have to ban me 6 times i just want one comment and ill stopphey moderators can you just comment like you dont have to ban me 6 times i just want one comment and ill stopp

Step-by-step explanation:

Answer:

−18+25+(−37)

[−18+25]+(−37)

Here we will 1

st

solve square bracket

∴[−18+25]+(−37)=7+(−37)

=7−37=−30

−30 is the sum of −18,+25 and −37

find the perimeter, halla el perimetro

Answers

Answer:

28 cm

Step-by-step explanation:

The perimeter (P) is the sum of the sides

P = LE + EF + ( FG + HI + JK ) + ( GH + IJ + KL )

   = 8 + 6 + 8 + 6

   = 28 cm

Help me!
Find the area of figure.​

Answers

Answer:

9 cm²

Step-by-step explanation:

the area = ½× 3√2 × 3√2 = ½×18 = 9

h(x)=-4x-7, when x=3
h( blank)=blank

Answers

Answer:

h(3)=19

Step-by-step explanation:

it's saying x=3 so -4×3 is -12 and -12 -7 is 19 so the answer is 19

Answer:

hope this helps

Step-by-step explanation:

four terms in the sequence an are a3=15, a4=19, a5=23, and a6=27 which function can be used to find the nth term in the sequence

Answers

Answer:

an = 4n + 3

Step-by-step explanation:

Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East

If they keep driving and do not stop at the store, how long (in hours) will it take for them to pass on the road? Where relative to the store is this (please state a distance and whether they are East or West of the store). Round the time (in hours) to the nearest thousandth and the distance to the nearest tenth if needed.

Answers

Answer:

Step-by-step explanation:

when they meet, time taken are same.

total distance they travel=20+25=45mile

total speed=45+50=95mile/hour

time=45/95=0.474hour

0.47*45=21.4mile>20mile so they meet at east of store.

How much more would 72,300 be from 63,100?

Answers

Answer:

9,200

Step-by-step explanation:

72,300 - 63,100 = 9,200

About how many times heavier is the blue whale than the rhinoceros

Answers

Answer:

1 x 10^2

Step-by-step explanation:

(2 x 10^5) / (2 x 10^3) = 1 x 10^2

Help please guys! Thank youuu

Answers

Answer:

Step-by-step explanation:

12b + 1 5c = 420

b ---> number of hour baby sitting

c-----> number of hours cleaning

c = 32 hours

Plugin c = 32 in the equation,

12b + 15*32 = 420

12b + 480 = 420

Subtract 480 from both sides

12 b = 420 - 480

12b = -60

So, This is not a reasonable value.

2) b = 10 hours

Plugin b = 10 hours

12*10 + 15c = 420

120 + 15c = 420

         15c = 420 -  120

         15c = 300

Divide both sides by 15

c = 300/15

c = 20 hours

He has to do cleaning for 20 hours

Yes, It is reasonable value

can someone please help PLEASE ​

Answers

U: -2,-2
B: -5, 0
K: -5, -3
Y: -4, -3

I believe so..

please help me :)))))))))))))))))

Answers

Answer:

A

Step-by-step explanation:

third angle=180-(35+73)=180-108=72°

Hyunjin has $26 and wants to buy 7 americanos for his group. Each americano costs $2.25.

How much money would he have left?

Answers

Answer:

10.25

Step-by-step explanation:

26-7(2.25)=10.25

Answer:

$10.25 would be left over

Step-by-step explanation:

Hyunjin spends 7($2.25), or $15.75, for those 7 americanos.

To find out how much money he'd have left, we subtract this $15.75 from his $26, obtaining $10.25.

If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).
O A. 2x-3
O B. 4x+1
ОС. 3х – 3
O D. 2x-1

Answers

Answer:

.➌×-➌

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

By definition, (f+g)(x) = f(x) + g(x)

So, (f+g)(x) = 3x - 1 + x + 2

= 4x + 1

What is the value of m?
Om=2
Om=3
Om=15
O m=16

Answers

Answer:

m = 3

Step-by-step explanation:

5m + 1 = 3m + 7

2m = 6

m = 3

The value of m in the figure is 3

From the question, line segments GH and HK are congruent.

So, we have:

GH = HK

Substitute known values

5m + 1 = 3m + 7

Collect like terms

5m - 3m = -1 + 7

Evaluate the like terms

2m = 6

Divide both sides by 2

m = 3

Hence, the value of m in the figure is 3

Read more about quadrilaterals at:

https://brainly.com/question/5715879

Select ALL the correct answers.
Select all the expressions that are equivalent to the polynomial below
(3x-7)(2x+8)

Answers

Answer:

A. 4(x - 4) + 2(3x² + 3x - 20)

C. (11x² + 7x - 55)-(5x² - 3x + 1)

F. (3x² + 5x - 28) + (3x² + 5x - 28)

Step-by-step explanation:

Given:

(3x-7)(2x+8)

= 6x² + 24x - 14x - 56

=6x² + 10x - 56

A. 4(x - 4) + 2(3x² + 3x - 20)

= 4x - 16 + 6x² + 6x - 40

= 6x² + 10x - 56

B. (3x² + 5x - 28) - (2x² + 4x + 28)

= 3x² + 5x - 28 - 2x² - 4x - 28

= x² + x - 56

C. (11x² + 7x - 55)-(5x² - 3x + 1)

= 11x² + 7x - 55 - 5x² + 3x - 1

= 6x² + 10x - 56

D. 4(x - 4) - 2(3x² + 3x - 20)

= 4x - 16 - 6x² - 6x + 40

= - 6x² - 2x + 24

E. (11x² + 7x - 55)-(5x² - 3x + 2)

= 11x² + 7x - 55 - 5x² + 3x - 2

= 11x² - 5x² + 7x + 3x - 55 - 2

= 6x² + 10x - 57

F. (3x² + 5x - 28) + (3x² + 5x - 28)

= 3x² + 5x - 28 + 3x² + 5x - 28

= 6x² + 10x - 56

what is the equation of a line that is perpendicular to y=1/2x+1 and passes through the point of (8,0)?​

Answers

Answer:

D. y= -2x+16

Step-by-step explanation:

the slope = -1÷½ = -2

the equation :

y-0= -2(x-8)

y = -2x+16

uhmmmmmmmmmmmmmmmmmmmmm

Answers

Step-by-step explanation:

l=✓9²+4²

l=√81+16

l=✓97

________ collect money from investors, create capital, and offer various investment options.

Fill in the blank
its 2 words

Answers

[tex]\sf\purple{Mutual \:funds}[/tex] collect money from investors, create capital, and offer various investment options.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

will give brainliest!


Solve for x. Exclude any extraneous solutions:


4/3x+5/4=3/x

Answers

Answer:

x = 4/3

Step-by-step explanation:

[tex]\frac{4}{3x} + \frac{5}{4} = \frac{3}{x}[/tex]

take lcm of the denominator

lcm = 12x

[tex]\frac{4*4 +5*3x}{12x} = \frac{3}{x}[/tex]

[tex]\frac{16+15x}{12x} = \frac{3}{x}[/tex]

do cross multiplication

x(16 + 15x) = 3*12x

16x + 15x^2 = 36x

15x^2 = 36x - 16x

15x^2 = 20x

x^2 = 20x /15

x*x = 4x/3

x = 4x/3/x

x = 4x/3 *1/x

x = 4x/3x

x = 4/3

The question is in the screenshot

Answers

Correct probability : 3/7

To find the correct probability, Noura needs to count ALL of the times she tossed the coin. To find that we just add 15 + 20, which equals 35.

Then to calculate the probability she will get heads is out the number of heads landed over the amount of times the coin was flipped.

15/35

We then simplify this fraction by dividing the top and bottom both by 5.

This leaves us with the answer of 3/7.

the circle below is centered at (10, 4) and has a radius of 4. what is its equation?​

Answers

Answer:

The equation of the circle is

Formula :

(x- h ) ² + (y-k )² = r²

or, x²-20x +100 + y² -8y + 16 = 16

or, x² + y² -20x -8y + 100 = 0 is the required equation

Other Questions
Someone please help me with this question!!What's the legal status of the death penalty in the U.S.? Why is the execution method of lethal injection controversial? John invests $250 at 15% interest compounded monthly. How much will he have in 20 years? plz help this question gives me brain fog :) I don't have a mentor lolTopic sentence: A mentor that has helped me in my life was... Concrete detail: Commentary: Commentary: Concrete detail: Commentary: Commentary: Concluding sentence: Clara, Dean and Elaine were candidate in an election in which 1000 people voted.elaine won the election receiving 95 more votes than Dean,and 186 more than Clara. how many votes did dean receive? Melissas family is driving out of state to her grandmothers house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip? help me someone The table below represents a geometric sequence. What are the visual elements of art? Please help. Will give 15 points!!!! Jon is considering providing substantial funding to a new startup company called Ampre located in Spain. The company is planning to begin producing electric vehicles that are equipped with fully autonomous driving technology in two years. Jon is concerned that customers in Spain are not receptive to fully autonomous cars as recent country-wide research shows that the company ranks 17th (out of 20 countries surveyed) on the autonomous vehicle readiness index. Customers in Spain do not seem to be willing to adopt these technologies yet. Which of the following PESTEL dimensions should Jon most closely follow in order to assess whether customers' attitudes towards autonomous technologies will begin to change in the near future?a) Technologicalb) Economicc) Socioculturald) Ecologicale) Legal My mother used to play volleyball when she was young.=> My mother doesnt. .. .. , Compare how the human body breathes in and out. Describe what happens to the ribcage, the diaphragm and chest volume. (6 marks) In this question you get marks for how well your answer is written. You will get marks for: spelling grammar organising your ideas and information clearly using key scientific words.Will give brainiest for best organised detailed answer. :) The numerator of a rational number is less thanits denominator by 7. If the new number becomes [tex]\frac{3}{2}[/tex] when the numerator is tripled and the denominator is increased by 13, find the original number. I NEED HELP! You throw a ball from an initial height of 6 feet and with an initial velocity of 46 feet per second. Write an equation that gives the height of the ball (in feet) as a function of the time (in seconds) since it left your hand, then find the time it takes for the ball to hit the ground. Why is this excerpt a good example of a feature often found in a myth? Under which form of intermediate sanction do offenders report to a place daily to continue rehabilitation? As a form of intermediate sanction, offenders might need to report to every day to continue rehabilitation through vocational training, therapy, drug treatment, and so on. A cell phone weighs about 28x10" pounds. Which value of n is most reasonable? what is the power of an electrical device which operates with a current of 12.4 A and a potential difference of 12 V What is the other number to this math equation? point of view does the narrator use in the passage? You can walk the length of Division Avenue, if you've got all day. . . . You come here for the first time, and you think all your hopes and dreams have come true. Your life will end happily ever after. list three departments that are most crucial to the office of the president