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

HELp please!!!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

it’s 15x+30y-220

Step-by-step explanation:

Because you distribute and then you add the like terms

Thissss answerrrrrrrrrrrrrrrrrrr

Answers

Answer: J. Five Ones.

Find a.
Round to the nearest tenth:
2 cm
с
150
1050
a =
= [? ]cm

Answers

Answer:

a = 1.8 cm

Step-by-step explanation:

Here. we want to find the value of a

To do this, we are going to use the sine rule

it states that the ratio of a side and the sine of the angle that faces the side is a constant for all the sides of a triangle

From the diagram, we have that;

The angle facing a is;

180-15-105 = 60

So, we have that

a/sin 60 = 2/sin 105

a = 2sin 60/sin 105

a = 1.794 cm

which is the correct graph for the equation?

Answers

Answer:

From the given graph, we can easily determine that graph A contains the y-intercept b = 3.

Thus, option A is the correct option.

The graph of the equation is also attached below.

Step-by-step explanation:

The slope-intercept form of the line equation

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

where

m is the slopeb is the y-intercept

Given the function

2x+5y=15

converting the equation into the slope-intercept form

5y = -2x + 15

divide both sides by 5

y = -2/5x + 3

Thus,

The slope of the line is: m =  -2/5

The y-intercept of the line: b = 3

In other words, the ordered pair (0, 3) represents the y-intercept.

From the given graph, we can easily determine that graph A contains the y-intercept b = 3.

Thus, option A is the correct option.

The graph of the equation is also attached below.

Which ordered pair is a solution of the equation?
(I will mark you brainliest if correct)

Answers

Answer:

Step-by-step explanation:

d

NEED HELP FAST PLEASE.
Please answer all these.
AND BECAUSE YOUR GONNA ANSWER ALL OF THEN IMA GIVE YOU 50 POINT

Answers

Answer:

60

Step-by-step explanation:

The current temperature is 30°C. Over the next eight hours the temperature decreases and then increases, returning back to 30°C. if the temperature initially decrease by 13°C, how much did it subsequently increase?

Answers

Answer:

13°C

Step-by-step explanation:

The number of hours that the temperature fluctuates is irrelevant to the problem.

This problem is asking how many degrees did the temperature increase in order to go back to 30°C after being decreased by 13°C.

Find the new temperature after it decreased:

30°C - 13°C = 17°C

If the temperature after decreasing is 17°C, it needs the same amount it was decreased by to go back to 30°C.

Therefore, the temperature subsequently increased by 13°C to go back to 30°C after being decreased by 13°C.

What is the following quotient?

Answers


2
3

3

3

18 is the answer

Answer: A edge 2021

Step-by-step explanation:

What is -7x3 =
Need answers asap!

Answers

Answer:

it is -21

Step-by-step explanation:

make it braintliest please

Answer:

-7×3 = -21

Step-by-step explanation:

I hope it helps ❤❤

The price per night of a hotel room is $ 250.00 plus $15 per person staying in the room. Which function rule would be used to determine the price of a hotel room, p (x) given the number of people, x, staying in the room.

Answers

The equation is 250+15x is that's what your asking

Mike recorded the number of hours he slept each night for a period of 5 days as shown in the table below.

Based on the information in the table, what was the total number of hours that Mike slept from Monday through Friday?

Answers

Step-by-step explanation:

8+9= 17

7 3/4 + 7 1/4= 15

15 + 5 1/2= 20 1/2

17 + 20 1/2 = 37 1/2

What are the solutions to 7x^2 + 10x -3 = x^2 + 3x?​

Answers

Answer:

x=(1)/(3),-(3)/(2)

Step-by-step explanation:

Answer:

(- 3/2, 1/3)

Step-by-step explanation:

7x^2+10x-3=x^2+3x

7x^2+10x-3-x^2-3x=0

6x^2+7x-3=0

6x^2+9x-2x-3=0

3x x (2x+3)-(2x+3)=0

(2x+3)x(3x-1)=0

2x+3=0

3x-1=0

x1=- 3/2

x2= 1/3

The line plots shows the weights of 9 grapefruits. What is the difference in the total weight of all the 1 1/2 lb grapefruits and the total weight of all the 1 1/4 lb grapefruits? A 1/4lb B 2 lb C 4 1/2lb D 7 lb

Answers

Answer:

The difference of weight is [tex]2[/tex] pounds.

Step-by-step explanation:

Given:  The line plots shows the weights of [tex]9[/tex] grapefruits

To find: The difference in the total weight of all the [tex]1\frac{1}{2} lb[/tex]  grapefruits and the total weight of all the [tex]1 \frac{1}{4}lb[/tex] grapefruits.  

Firstly, we need to convert the given mixed fractions as following:

[tex]1\frac{1}{2} lb=\frac{2+1}{2}=\frac{3}{2}lb[/tex]

[tex]1\frac{1}{4} lb=\frac{4+1}{4}=\frac{5}{4}lb[/tex]

Now, we know that,

Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.

In this case, the different weights of the grapefruit constitute the classes. From a sample of 10 grapefruit, some will weigh  others weigh.

We need to observe the dot diagram to know how many  grapefruit we have of weight [tex]\frac{3}{2} lb[/tex] and how many  grapefruit we have of weight [tex]\frac{5}{4} lb[/tex]. In other words, we need to know, in the diagram, how many points there are about class of  [tex]\frac{3}{2} lb[/tex] and how many points there are about class of   [tex]\frac{5}{4} lb[/tex].

Then, the total difference between all grapefruit of  pounds and all grapefruit of pounds is calculated as follows:

[tex]x (1\frac{1}{2} ) - y (1\frac{1}{4} ) = Z[/tex]

Where

[tex]Z[/tex]: Weight difference

[tex]x[/tex]: Quantity of [tex]1\frac{1}{2} lb[/tex]  grapefruit

[tex]y[/tex]: Quantity of [tex]1\frac{1}{4}lb[/tex] grapefruit

Suppose that of the [tex]10[/tex] total grapefruits, [tex]3[/tex] of them weigh [tex]1\frac{1}{2} lb[/tex]  and [tex]2[/tex] of them weigh [tex]1 \frac{1}{4}[/tex]  pounds. This is: [tex]x=3[/tex] and [tex]y=2[/tex]

Now,

[tex]3(\frac{3}{2} )-2(\frac{5}{4} )[/tex]              

[tex]=\frac{9}{2} -\frac{5}{2}[/tex]                    

[tex]=\frac{4}{2}[/tex]            

[tex]=2[/tex]

Hence, for this case, the difference of weight is [tex]2[/tex] pounds.

two lines that are tangent to p​

Answers

Answer:

QR

SR

Step-by-step explanation:

QR and SR are tangent to the circle with center P

Find the equation of the line
that passes through the points
(4, 7) and (-2, 6)

Answers

y

=

1

6

x

+

19

3

equation in slope-intercept form

Step-by-step explanation:

Answer:

y = -x/6 + 19/3

Step-by-step explanation:

[tex](y - 7)( - 2 - 4) = (x - 4)(6 - 7) \\ - 6y + 42 = 4 - x \\ x - 6y = - 38 \\ or \\ y = (38 - x) \div 6[/tex]

This is some question pizza circles in math

Answers

Step-by-step explanation:

Diameter : 10

Radius : 5

Area :

[tex]\pi {r}^{2} = \pi{5}^{2} = 78.54[/tex]

Diameter: 18

Radius : 9

Area :

[tex]\pi {9}^{2} = 254.47[/tex]

Diameter: 11

Radius: 5.5

Area:

[tex]\pi {5.5}^{2} = 95.03[/tex]

Diameter: 12

Radius : 6

Area:

[tex]\pi {6}^{2} = 113.09[/tex]

Hector took out a small loan of $900 for 18 months (remember to turn this into
years). The simple interest rate on the loan was 10.5%. How much will he pay in
interest on the loan?

Answers

Answer:

$141.75

Step-by-step explanation:

(900)(-105) (13/12) or 1.5

2) 2.25 is 62.5% of what number?

Answers

Answer:

250

Step-by-step explanation:

250 ÷ 400 = 0.625 = 0.625 × 100/100 = (0.625 × 100)/100 = 62.5/100 = 62.5% Answer: Percentage of 62.5% of what number = 250?

The required number whose 62.5% is 2.25 is given as 3.6.

Given that,
To determine the number whose 62.5% is 2.25.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Given that,
Let the number be x,
According to the condition,
62.5% of x = 2.25
0.625x = 2.25
x = 2.25/0.625
x = 3.6


Thus, the required number whose 62.5% is 2.25 is given as 3.6.

Learn more about simplification here:

https://brainly.com/question/1369388

#SPJ2

PLEASE HELP FAST!! ❤️

for 15 points

Answers

Answer:

2/3?

Step-by-step explanation:

I'm not sure

y=2/3-7 is the equation in slope form

Make a 4-by-4 logic grid on your own paper. Use it to help solve the logic
puzzle and answer the question.
Kim, Maia, Nia, and Shelley play left wing, center, right wing, and defense on
the hockey team, though not necessarily in that order.
When Kim gets the puck, she usually passes it to the left wing or the right
wing.
Nia and Shelley are too small to play defense.
Maia and Shelley both shoot from the left, so the coach wont let them play
right wing.
The defense player and Kim are best friends.
Who plays left wing?
O A. Shelley
O B. Kim
OC. Nia
OD. Maia

Answers

Answer:

Shelly

Step-by-step explanation:

Help plz I’m giving a lot of points

And no nonsense answers plz

Answers

Answer:

it is a positive number because she was rising if she had been going down then the number would have become negative.

Step-by-step explanation:

it is a positive number because she was rising,

however, if she was going down the number would become negative.

Hiya! I need help please! Thanks I really appreciate it!

(2 screenshots included)

Answers

answer should be Vertical

Answer:

8. the line the vertical

9. y=3/4x-10

Step-by-step explanation:

For number nine, you must find b with the information given if you were to use slope intercept form.

4= 3/4(-8)+b

4= -6+b

-10=6

Now, just plug this number back into the equation.

y= 3/4x-10

Dale buys candy that costs $8 per pound. He will buy at least 7 pounds of candy. What are the possible amounts he will spend
on candy?
Use c for the amount (in dollars) Dale will spend on candy,
Write your answer as an inequality solved for c.

Answers

Answer:

66

Step-by-step explanation:

Pleaseeeee help asap anyone

Answers

I got c=73 for my answer my work is in the photo

Answer:

73

Step-by-step explanation:

17+90+C=180 since it is a straight angle and yeah.

17+90=107+c=180

180-107=73

i neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeelllllllllllllllllppppppppppp
If 3x−y=12, what is the value of 8x/2y?

A) 212
B) 44
C) 82
D) The value cannot be determined from the information given.

Answers

Answer:

3x-12=y

which equals to

1/y=1/(3x-12)

Now,multiply both sides by x

x/y=x/(3x-12)

8x/2y=4x/y=4x/(3x-12)

Step-by-step explanation:

''.''

Simplify the problem in the picture

Answers

Answer:

[tex]\frac{n^{10} }{27m^{5} }[/tex]

Step-by-step explanation:

What mistake did Brianna make? On Line 1, Brianna should have subtracted 3 instead of adding -3. On Line 1, Brianna violated the addition property of equality. On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1. On Line 3, Brianna violated the addition property of equality.

Answers

Question:

Brianna solved a two-step equation, but she made a mistake along the way.

[tex]0.1x + 3 = 1.7[/tex]

Line 1 : [tex](-3) + 0.1x + 3 = 1.7 + (-3)[/tex]

Line 2 : [tex]0.1x = -1.3[/tex]

Line 3 : [tex](-0.1) + 0.1x = -1.3 + (-0.1)[/tex]

Line 4: [tex]x = -1.4[/tex]

Answer:

On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1.

Step-by-step explanation:

Required

Where did she make a mistake?

To do this, we simply analyse her workings one step at a time

Equation: [tex]0.1x + 3 = 1.7[/tex]

Line 1 : [tex](-3) + 0.1x + 3 = 1.7 + (-3)[/tex]

This is correct because she subtracted 0.3 from both sides

Line 2 : [tex]0.1x = -1.3[/tex]

This is also correct because she performed the arithmetic correctly

Line 3 : [tex](-0.1) + 0.1x = -1.3 + (-0.1)[/tex]

This is incorrect.

Division by 0.1 is expected not subtraction

Answer:

It's C

Step-by-step explanation:

a factory can make 2,402 baseballs in 1 hour how many baseballs can the factory make in 5 hours​

Answers

Answer:

The factory can make 12,010 baseballs in 5 hours.

Step-by-step explanation:

We have to multiply 2,402 * 5 to find the answer.

5 * 2,402 = 12,010

Hope this helps!

Please mark as brainliest.

x=basketball in 5 hours

2,402=1 hours

which means x=5 hours

Multiply the terms:

2,402x5=12010

x=12010

What decimal is equivalent to 4/15

Answers

Answer:

0.2667 is the decimal for this

Answer:

0.2bar6

Step-by-step explanation:

The decimal form of 4/15 is 0.2bar6. Divide the numerator by the denominator. 4/15= 0.2666...= 0.2bar(6) In the United States, the repeating decimal is represented with a bar above the repeating decimal.

PLZ HELP ME


6÷2(1+2)=?????

Answers

9

6/2x3

3x3

9

Hope I helped

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