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

Select the reason why these triangles are
similar. If they are not, select "Not similar".
A. AA
B. SAS
C. SSS
D. Not similar

Answers

Answer:

The reason why these triangles are similar is;

A. AA

Step-by-step explanation:

A two column proof can be presented using the drawing of the question diagram created with Microsoft Visio as follows;

Statement      [tex]{}[/tex]                  Reason

[tex]\overline {AB}[/tex] ║ [tex]\overline {DE}[/tex]   [tex]{}[/tex]                      Given

∠ACB ≅ ∠DCE       [tex]{}[/tex]         Vertically opposite angles

∠BAC ≅ ∠DEC       [tex]{}[/tex]         Alternate interior angles theorem

∠ABC ≅ ∠CED       [tex]{}[/tex]         Alternate interior angles theorem

ΔABC ~ ΔCDE        [tex]{}[/tex]         By Angle-Angle (AA) similarity postulate

Therefore, the correct option is AA.

Azucena vende un automóvil en $37,500.00, sin embargo se devalúa el 18% por cuestiones de uso y degradación de los materiales. Determine el precio final de venta.

Answers

Answer:

$30,750

Step-by-step explanation:.

Paso uno:

datos dados

costo del auto = $ 37,500

% degradación = 18%

= 18/100 * 37,500

= 0,18 * 37,500

= $ 6750

Segundo paso:

deje que el costo total sea T

Por lo tanto

T = coste del coche-% de degradación

T = 37.500-6750

T = 30,750

Why do you think the two empires did not last very long?​

Answers

Answer:

What two empire?

Step-by-step explanation:

4n - 3 = -2n + 9 when n = 2​

Answers

Answer:

Step-by-step explanation:

4n-3=-2n+9, we move the variables in one side and numbers on the other side

4n+2n=9+3

6n=12

divide by 2

n=2

Can you please help me out? ;-;

In a right triangle, the length of one leg is 3 cm. The length of the other leg is 2 cm. What is the length of the hypotenuse?

Answers

Answer:

3^2+2^2=13

[tex] \sqrt{13} [/tex]

= 3.60555

Step-by-step explanation:

prove me wrong

Katherine went to the store to buy some almonds. The price per pound of the almonds is $3 per pound and she has a coupon for $1.50 off the final amount. With the coupon, how much would Katherine have to pay to buy 4 pounds of almonds? Also, write an expression for the cost to buy p pounds of almonds, assuming at least one pound is purchased.​

Answers

Answer:

$10.50

Step-by-step explanation:

Multiply $3 by 4 since it's 4 pounds nd each pound cost $3. When u do that, u get $12, but u gotta subtract $1.50 off the final cost, which is $10.50.

Ion get the second part.

Is 2x + 3 +7x equivalent to the expression 2(x+3) + 7x?

Answers

Answer:

No

Step-by-step explanation:

because if you use distribution on 2(x+3)+7x it gives you 2x+6=7x which does not equal 2x+3+7x

Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a store:



Part A: In your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. (5 points)

Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work. (5 points)

Answers

Answer:

please put in the graph

The sales totals at Macy's food store have increased exponentially over the months. Which of these best shows the sales in the first three months?
Select one:
a. $1200 in the first month, $1220 in the second month, $1240 in the third month
b. $1200 in the first month, $1272 in the second month, $1344 in the third month
c. $1200 in the first month, $1285 in the second month, $1370 in the third month Incorrect
d. $1200 in the first month, $1224 in the second month, and $1248.48 in the third month

Answers

Answer:

Letter C

Step-by-step explanation:

Answer:

The answer would be D. $1200 in the first month, $1224 in the second month, and $1248.48 in the third month

Step-by-step explanation:

Round 80.49 to the nearest whole unit (ones place).

Answers

80

round down because the tenths place is less than 5

Harold earns $10.50 per hour working at a doctor's office. On Monday he spent 1 5/12 hours filing paperwork, 1 3/4 sending emails and 2 1/3 hours making appointments. What were Harold's earnings? Round your answer to the nearest cent.

Answers

Answer:

the total earnings is $58

Step-by-step explanation:

The computation of earnings is shown below:

= Time spent in filling paperwork + time spent in sending emails + time spent in making appointments

= (1 5 ÷ 12 × $10.50)  + (1 3 ÷ 4 × $10.50)  + (2 1 ÷ 3 × $10.50)

= 14.875 + 18.375 + 24.50

= $57.75

Hence, the total earnings is $58

The same is to be considered

A game store owner buys a Nintendo Switch game for $22.50 and sells it with a 40% mark up. What is the retail price?

Answers

Answer: $31.50

Step-by-step explanation:I think; $22.50 x .40=9

$22.50+9=$31.50

Please help!! I really need some help on these problems I will mark brainliest and thank you!

Answers

Answer:

1.  63

2.   33

Step-by-step explanation:

1.  8x3=24

24/2=12

1x6=6

6/2=3

6x8=42

12+3+42=63

2.   3x3=9

8x3=24

24+9=33

Which of the following equations have infinitely many solutions?

Answers

Answer:

A

Step-by-step explanation:

The only one with nothing else in front of the X, which means you can't divide, which means it stays the same.

A rectangular prism has a length of 9 centimeters, a width of 4 centimeters, and a height of 2 centimeters.

What is the volume of the prism?

Answers

Answer:

It will be 72cm

Step-by-step explanation:

Volume of a rectangular prism = (length x width x height) cubic units.

9x4x2=72

i need help on the botto that says What is the cost of buying 10 tickets?

Answers

Answer:

305$

Step-by-step explanation:

305 because if it costs 61 dollars for 2 tickets and 61/2 30.5. 30.5*10=305

Question 4
What is the common difference or common ratio of this sequence?
-16, 4.-1, 1/4, ...

Answers

Answer:

crazy i need help on the same problem

Step-by-step explanation:

help ?!

Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9

Answers

Given:

The function is

[tex]f(x)=\left(\dfrac{1}{3}\right)^x[/tex]

To find:

The missing values for a, b, and c in the given table.

Solution:

We have,

[tex]f(x)=\left(\dfrac{1}{3}\right)^x[/tex]

At x=-2,

[tex]f(-2)=\left(\dfrac{1}{3}\right)^{-2}[/tex]

[tex]a=\left(3\right)^{2}[/tex]         [tex]\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right][/tex]

[tex]a=9[/tex]

At x=-1,

[tex]f(-1)=\left(\dfrac{1}{3}\right)^{-1}[/tex]

[tex]b=\left(3\right)^{1}[/tex]         [tex]\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right][/tex]

[tex]b=3[/tex]

At x=0,

[tex]f(0)=\left(\dfrac{1}{3}\right)^{0}[/tex]

[tex]c=1[/tex]         [tex]\left[\because a^0=1, a\neq 0\right][/tex]

Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.

Answer: below

Step-by-step explanation:

please help im not that good during this online

Answers

Answer:

The angle is 50 degrees.

     

1by2 of x-1 by 2 equals 2x what is the valueof x

Answers

Answer:

[tex]x=-\frac{1}{7}[/tex]

Step-by-step explanation:

What is the Pythagorean Theorem? Provide the equation and an explanation as to what it means.

Answers

Answer:

The Pythagorean Theorem is a squared + b squared = c squared. It is used to find out a side of a triangle if you already know the two others. C is always the H=hypotenuse, while the other two sides are a and b.

Answer: a^2+b^2 (factored) = c^2

Step-by-step explanation:

This only helps if you are solving for the hypotenuse.

Need Help!!!!!!!!!!!!!!

Answers

Answer:

Option a. id have other relations for them, but they are not listed, so their ya go.

Step-by-step explanation:

Answer:

You add 5 to get from x to y

Step-by-step explanation:

10+5 =15

13+5 = 18

16+5 = 21

Makiyha Martin
Janice bought a computer. She paid $780.00 plus sales tax. The sales
tax was 4%. How much did she pay in sales tax?

Answers

Answer:

$31.20

Step-by-step explanation:

1. Calculate the tax amount. To do this, you multiply the price by the tax rate.

$780 x 4% = $31.20

The total tax paid was $31.20

Answer:

B

Step-by-step explanation:

janice got ripped off buying a computer for $780.

she could have easily built her own computer with similar specs for less money or use the same amount of money to build a way better pc.

I WILL GIVE YOU BRAINLY PLSS


The equation c = 3h + 50 is used to determine a gym membership fee. Use the
equation to find out how much it would cost if h = 10. c = total cost h =hours
A. c = $63
B. c = $160
C. c = $80
D. c = $60

PLSS SHOW YOUR WORK PLSS

Answers

Answer:

C

Step-by-step explanation:

h=10 so plug that into the given equation

c=3(10) +50

c=30+50

c=80

Answer: C, c = $80

Step-by-step explanation:

c = 3h + 50

c = 3 (10) + 50

c = 30 + 50

c = 80

The total cost is $80

Hope that helped!

Translate each phrase into an algebraic inequality:
Sandro's job pays him $11.25 per hour. Last week, his gross paycheck was $405.00. How many hours did he work?

Answers

Answer:

I don't know how to convert it but the answer as to how many hours is 36.

Find the area of the triangle

Answers

Answer:

I believe the answer would be 12

Step-by-step explanation:

Lisa is 14 years old. Her age is
two sevenths of her father's age.
How old is Lisa's father?

Answers

Answer:

49 years old

Step-by-step explanation:

14 = 2/7

14 divided by 2 = 7

7 x 7 = 49

Answer:

49

Step-by-step explanation:

Which equation is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y = 8/3x?

Answers

Answer:

5

Step-by-step explanation:

it is five

I really need help asap

Answers

Answer:

30.2x+12.9y

Step-by-step explanation:

The laptop was marked down from $895 to $720.

Answers

Answer:

Wdym?

Step-by-step explanation:

Im confused

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