Find a probable next term for the sequence 9,20,39,72,125,204,315

Answers

Answer 1

Answer:

464

Step-by-step explanation:

The first term is 9.

The difference between the second and first term = 20 - 9 = 11

The difference between the third and second term = 39 - 20 = 19

The difference between the fourth and third term = 72 - 39 = 33

The difference between the fifth and fourth term = 125 - 72 = 53

The difference between the sixth and fifth term = 204 - 125 = 79

The difference between the seventh and sixth term = 315 - 204 = 111

The differences are 11, 19, 33, 53, 79, 111

From the difference: 19 - 11 = 8, 33 - 19 = 14, 53 - 33 = 20, 79 - 53 = 26, 111 - 79 = 32

We can see from the first difference (8), if we add 6 we get 14, if we add another 6 we get 20, if we add 6 we get 26, if add 6 we get 32

We get the eight term using:

32 + 6 = 38

let x be the difference between the eight term and the seventh term, hence:

x - 111 = 38

x = 111 + 38

x = 149

Therefore:

eighth term - seventh term = 149

eighth term - 315 = 149

eighth term = 149 + 315

eighth term = 464

The next probable term is 464


Related Questions

The sixth-grade class is competing in the school field day. There are 32 girls and 56 boys who want to participate. Each team must have the same number of girls and boys. What is the greatest number of teams that can be formed? How many boys and how many girls will be on each team?

Answers

Answer:

8 teams each team will have 4 girls and 4 boys

Step-by-step explanation:

We use GCD to solve this

the GCD of 32 and 24 = 8

8 is the greatest number of teams.

each team must have equal number of boys and girls so divided by two

8/2 = 4

4 girls and 4 boys

I have attached how to do GCD.

If you need any clarification or more explanation pls do mention at the comment section

Hope this helps and if it does pls mark as brainliest answer thx

Mr. Snow keeps a list of vocabulary terms that he wants his students to memorize from the textbook.

He began the year with 15 terms on the list. Of the 35 new terms in each chapter, Mr. Snow puts the definition of 10 terms on the wall and adds the remaining terms to the vocabulary list to be memorized.
question:
the number of terms on the vocabulary list can be represented by a linear function. Identify the rate of change and initial value of this function. Explain what these value represent in term of the situation.

Answers

Answer:

Step-by-step explanation:

35(6)x12=224

2+0+3+4+9+6 ?? please

Answers

Hey there!

The answer is 24

2+0

2

2+3

5

5+4

9

9+9

18

18+6

24

Have a good day!

P.S. UMMMMMMMMM

PLEASE help I really have to get this right!
The population of a city increases by 4,000 people each year. In 2025 the population is projected to be 450,000 people. What is an equation that gives the city's population p (in thousands of people) x years after 2010?
A.p=4x+50
B.p-450=4(x-5)
C.p-15=4(x-450)
D.p=4x+15

Answers

Robert Dwayne Junior

Find the annual infiltration rate for the nearest 10th of a percent of a gallon of milk that increases the value from $1.51 to $2.03 over a period of seven years.

Answers

Answer:

7.429 cents

Step-by-step explanation:

Given that:

Price change = $1.51 to $2.03

Period of time = 7 years

Therefore, the annual inflation rate :

Difference in price / number of years

($2.03 - $1.51) / 7

$0.52 / 7

= 0.0742857 per year

= 0.0742857 * 100 (about 7.429 cents per year)

Abby wants to buy a new purse for $23.57. She gives the cashier a $20 bill and a $10 bill. How much change does she get back?​

Answers

Answer:

$ 6.43

Step-by-step explanation:

Answer:

She gets back $6.43 dollars as change

Step-by-step explanation:

If you add 20 and 10 you get 30, and if u subtract 23.57 from 30 like this, 30.00 - 23.57

       30.00                         29.99                  

    -  23.57                     -   23.57

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

                                          06 .42

Hope this help :)

Which set of statements would describe a parallelogram that can always be classified as a rhombus?

I. Diagonals are perpendicular bisectors of each other
II. Diagonals bisect the angles from which they are drawn
III. Diagonals form four congruent isosceles right triangles

Answers

The correct answer is (4) I, II, and III.

1) Positive, negative, zero or undefined?

Answers

Answer:

I would say zero or undefined

Step-by-step explanation:

Answer:

c, zero slope

simplify 6(4x-2)+10 pls i need it

Answers

Answer:

2(12x-1)

Step-by-step explanation:

expand the expression

24x-12+10

add the constants

24x-2

take out 2, since it is common

2(12x-1)

Find the sum of interior angles of a 10-sided figure. Explain what formula you used to get the answer.

Answers

Answer: 1440°

Step-by-step explanation:

To solve the above question, we'll use the formula (n-2) × 180. In this question, we are told that it has 10 sides. This implies that n= 10. Therefore, using the formula goes thus:

= (n - 2) × 180

where, n = 10

= (10 - 2) × 180

= 8 × 180

= 1440

What is the expanded form of the expression ∑i=0⇵4 i^4? a) 0^2+4^2 b) 1^4+2^4+3^4+4^4 c) 0^4+1^4+2^4+3^4 d) 0^4+1^4+2^4+3^4+4^4

Answers

Answer:

Um what is this

Step-by-step explanation:

Help quick what's 9+10

Answers

9+10=19.............

Create a quadratic equation that would have two real solutions. Then,
explain why it has two real solutions without solving the equation.

Answers

Answer:

Thinking graphically, these correspond to the graph of the straight line (a) missing the graph of the parabola entirely, (b) kissing the parabola at one point or (c) cutting across the parabola and coinciding with it at 2 points.

Step-by-step explanation:

Explanation:

Graphically, a quadratic equation is a parabola and a linear equation is a straight line.

i hope it helps

In a class of 40 students, 26 are girls and 14 are boys. What is the ratio of girls to the total number of students?

Answers

Answer:

13:20

Step-by-step explanation:

no. of girls=26

total no. of students =40

ratio of girls to total no. of students=26:40

which means, the ratio is 13:20

Find an equation of the line perpendicular to the graph of 14x-7y=8 passing through the point at (-2,5)

Answers

Answer:

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Given equation of line is:

14x-7y=8

First of all, we have to convert the given equation into slope-intercept form to find the slope of the line

The slope-intercept form is:

[tex]y = mx+b[/tex]

Now

[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]

The co-efficient of x is 2 so the slope of given line is 2

Let m1 be the slope of line perpendicular to given line

The product of slopes of two perpendicular lines is -1

[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]

The equation for line perpendicular line to given line will be:

[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]

To find the value of b, putting (-2,5) in the equation

[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]

The final equation is:

[tex]y = -\frac{1}{2}x+4[/tex]

Hence,

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Brian makes $40 per hour tutoring students in music
theory, and Rebecca makes $20 per hour walking
dogs. Last month, Brian worked for 5 fewer hours
than Rebecca did, and they earned a total of $1,300.
How many hours in total did they work at their
part-time jobs?
A) 25
B) 35
C) 45
D) 55

Answers

Answer:

55

Step-by-step explanation:

Answer: D.)

Step-by-step explanation:

40*5=200, This is Brians total $'s

1,300-200=1,100, This is Rebeccas total $'s

1,100/20= 55, This is the total hours worked.

3.) There are 3 brothers. The first brother is twice as old as the second. The second is twice as old as the third.
If the sum of their ages is 28, how old is each brother?

Answers

Answer:

The first brother is 16, the second brother is 8 and the third brother is 4.

Step-by-step explanation:

Since the sum of all the brothers  is 28, that means the cap of how old the oldest can be is 28. I just stated with numbers less then 28 that were dividable by two which means all the numbers had to be. So 16 for the first, 8 for the second and 4 for the youngest is the right answer I hop.

3Y - 15 LESS THAN 7Y+ 6

Answers

Answer:

y>-9/4

use this site too, put in an any equation itll solve it in a second and give you a step by step thing to show you how to do it.

Help? Show work!
Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.

Answers

Given:

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ=3a+4[/tex]

[tex]XY=5a-12[/tex]

To find:

The value of a and PQ.

Solution:

We have,

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ\cong XY[/tex]                            (CPCTC)

So,

[tex]PQ=XY[/tex]

[tex]3a+4=5a-12[/tex]

Isolating variable terms, we get

[tex]3a-5a=-4-12[/tex]

[tex]-2a=-16[/tex]

Divide both sides by -2.

[tex]a=\dfrac{-16}{-2}[/tex]

[tex]a=8[/tex]

Now,

[tex]PQ=3a+4[/tex]

[tex]PQ=3(8)+4[/tex]

[tex]PQ=24+4[/tex]

[tex]PQ=28[/tex]

Therefore, the value of a is 8 and the value of PQ is 28.

Pls help I’m bad at math no matter how much I try

Answers

Answer: Kiran is correct

Step-by-step explanation: kiran would be correct because if they were to double the length of the rectangle then the corner to corner length would also double. Sure mai is right when she says that the diagonal length is longer then to two side lengths but that doesn't change the fact that it would only double and nothing more.

answer fast !!!!!!!!!

Answers

Answer:

(a^7)/64

Step-by-step explanation:

1/(8×8) × a^7=1/64 × a^7

Hlppppppppppppppppppppppp

Answers

Answer:

B, C, D, E

Step-by-step explanation:

I need help cause I’m lazy to do it myself it’s 4 in the morning

Answers

Answer:

C. Mario should have multiplied the x-values by $6.50 to get the y values.

Step-by-step explanation:

Let's do it the way they said. If we were to multiply 1 by 65, it would be $65. If we did the same thing for 2, 2 x 65 is $130. This is incorrect because these values do not match up with the ones on the graph.

Decimal points are important in this case because it completely changes your answer. When you multiply 1 by 6.50, you get 6.50. Which is what's on the graph. Multiply 2 by 6.50 and you'll get $13, and so on.

So now we can conclude that the mistake Mario made was that he multiplied x by the wrong value (65), when it should have been $6.50.

Note: Hope this helps! Good luck on your test. :)

Simpily the expression below: 2(4x + 5y)​

Answers

Answer: 8x+10y

Step-by-step explanation:

2(4x)= 8x

2(5y)= 10y

8x+10y

Please help me if you can​

Answers

Answer:

1)-9x^5 + 7x^2 + 3    2)  -2x2 • (x - 7)      3)  -23v^2 + 7v + 4    4) is just 7x

When buying a car, Esther can choose a 2-door or 4-door car with leather or cloth interiors in black, silver, or white. How many different combinations can be made with the car options?

Answer value

Answers

Answer: I think 12

Step-by-step explanation:     all the posibilitys-

1. 2 doors  

2. 4 doors

3. silver

4. black

5. white

6. cloth

7. leather

Which scales are equivalent to 1 inch to 1 foot? Select all that apply. Group of answer choices 1 to 12 (1/12) to 1 100 to 0.12 5 to 60 36 to 3 9 to 108

Answers

Answer:

1 to 125 to 609 to 108

Step-by-step explanation:

There are 12 inches in one foot so the equivalent ones are:

1 to 12

This shows that there are 12 inches in one foot so is equivalent.

5 to 60

5/60 = 1/12

This is equivalent because it shows that 12 inches are required to make a foot.

9 to 108

9/108 = 1/12

This is also equivalent for the same reasons as above.

(4n + 14) + (5 + 8n)

Answers

Answer:

12n+19

Step-by-step explanation:

(4n + 14) + (5 + 8n)

4n+14+5+8n

12n+19

in the spring temperatures rise on average 6 degrees every 5 days. at that rate how many degrees would the temperature have risen after 30 days

Answers

Answer:

Ok, this is pretty simple. So, if it rises 6 degrees every five days, then we have to figure out how many "five days" are in 30 days. It would be 6! So now all we have to do is multiply. 6 times 6 equals 36 degrees.

The answer is 36 degrees.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

If it rises 6 degrees every 5 days, we just need to figure out how many 5 days are in 30 days. When you solve, you'll get 6. Now we can just multiply 6 x 6 = 36. Hope this helped, please mark brainliest if it did

The mean for this set of data is 18. Which number could be put in the blank to make this statement true?
16 10 22 ___
A. 84
B. 24
C. 48
D. 72

Answers

The answer is B, 24
Because if u do the math it will or should give u that

The mean of the data is 18 and the missing statement is x = 24

What is Mean?

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the data be represented as A

Now , the value of A = 16 , 10 , 22 , x

Let the mean of the data be M = 18

To find the mean of the data set, we need to add up all the numbers and divide by the total number of numbers:

(16 + 10 + 22 + x) / 4 = 18

We can simplify this equation by multiplying both sides by 4 to get rid of the fraction:

16 + 10 + 22 + x = 72

Now we can solve for x by subtracting the three known numbers from both sides:

x = 72 - 16 - 10 - 22

x = 24

Therefore, the number that could be put in the blank to make the statement true is 24

To learn more about mean click :

https://brainly.com/question/15526777

#SPJ2

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