Find the nth term of the sequence

2,8,18,32,50

Answers

Answer 1

9514 1404 393

Answer:

  an = 2n^2

Step-by-step explanation:

First differences are ...

  8 -2 = 6

  18 -8 = 10

  32 -18 = 14

  50 -32 = 18

And second differences are constant at 4:

  10 -6 = 14 -10 = 18 -14 = 4

This means the sequence can be described by a degree 2 polynomial. The coefficient of the n^2 term is half the second difference: 2. We find nothing else needs to be added to the squared term.

  an = 2·n^2


Related Questions

Sarah had a party and brought 4 pizzas. Each pizza had 12 slices. At the end of the party, there were 1 3/4 pizzas left. How many slices of pizza were eaten?

Answers

Answer: 27

Step-by-step explanation:

12x4=48

then 3+3+3=9

then add 12 because of the 1

then 48-21=27

Answer:

Step-by-step explanation: answer 27

27

12x4=48

then 3+3+3=9 because its 3/4

then you add 12 because of the 1

then 48-21=27

In the figure below, the areas of rectangles A, B, and C are 12, 24, and 40, respectively. Find the area of rectangle D.

Answers

Answer:

In the figure below, the areas of rectangles A, B, and C are 12, 24, and 40, respectively. Find the area of rectangle D.

Step-by-step explanation:

here is the picture:

Tim has 5 yellow and 10 blue marbles in a bag.

What is the probability of randomly choosing a yellow marble from the bag? Enter your response as a fraction in lowest terms.

Answers

Answer:

1/3

Step-by-step explanation:

add to 15

so 5/15

simplify 1/3

53.333 as a mixed number​

Answers

Answer:

53 1/3

Step-by-step explanation:

Because 53 and then .3333333333 as fraction

Answer: 5333/10000

Step-by-step explanation:

53.33/100 = (53.33 x 100)/(100 x 100) = 5333/10000

Find f(3) for f(x)=1/2(4)^x.
O A. 32
O B. 64
O c. 6
6
O D. 8

Answers

Answer:

A) 32

Step-by-step explanation:

f(3)=1/2(4)^(3)

The area of a rectangle is 350 square meters. Find its width if its length is 50 meters

Answers

Step-by-step explanation:

For a given rectangle,the area(A) is the product of its length and width

A=lw, given A=350m² and l=50m

transposing the equation for w gives w=A/l

w=350m²/50m=7m

That's it

Jasmine made a new line plot for the lengths of another set of strings that the art teacher gave her for a new project. Two line plots are given. 1st line plot named as ALTDCString Lengths for Craft ProjectALTDC shows a number line from 6 to 14. The number line is divided into 4 equal parts. 1 cross on 6, 2 crosses on 8, 4 crosses on 12 and 1 cross on 14 is given. 2nd line plot named as ALTDCString Lengths for New ProjectALTDC shows a number line from 6 to 14. The number line is divided into 4 equal parts. 2 crosses on 8, 3 crosses on 10 and 3 crosses on 12 is given. Which of the following statements are true about the string lengths for the first craft project and the new project? Select all that apply. A. There are half as many 12-inch strings for the new project as for the craft project. B. There are twice as many 8-inch strings for the craft project as for the new project. C. Jasmine has the same number of strings for the new project as for the craft project. D. The total length of the strings for the craft project is greater than the total length for the new project. E. The length of the longest string is the same for both projects.

Answers

Answer:

C - Jasmine has the same number of strings for the new project as for the craft project

D - The total length of the strings for the craft project is greater than the total length for the new project.

The length of all the strings combined is 84 inches, while the length of the smallest string is 6 inches.

What is a line plot?

A line plot is a graph that shows the frequency of each value by displaying data as points or checkmarks above a number line.

here, we have,

In the given line plot, if we consider each of the options with the plot given to us, we will get to know which of the options are true or not.

A.) A. The difference between the longest length and shortest length is 14 inches.

As given in the plot, the longest string is 14 units while the smallest is 6 units, therefore, the first option is incorrect.

B.) I have twice as many 12-inch strings as I do 8-inch strings.

In the plot since the number of dots represents the number of strings of a particular length, therefore, the number of strings of length 12-inches is 4 and the number of strings of length 8-inches is 2. Thus, the given options are correct.

C.)  The total length of string that I have is 84 inches.

As per the plot, the number of strings of length 6 inches is 1, the number of strings of length 8 inches is 2, the strings of length 12inches is 4, and the number of strings of length 14 inches is 1. Thus, the sum of the length of all the strings is 84 inches.

Hence, the statement is correct.

D.) I cannot determine what the shortest string is by looking at my line plot.

As given in the plot, the length of the smallest string is 6 inches, thus, the statement is incorrect.

E.) Since I need 100 total inches of string for my project, I have enough string.

As the length of all the strings combined is just 84 inches, thus, the statement is incorrect.

Hence, the only option that is correct is 'B' and 'C'.

Learn more about Line plot:

brainly.com/question/11844514

#SPJ3

Carolina quiere ahorrar 6000 soles. El banco A le ofrece pagarle un tasa de intereses de 2% anual, capitalizable trimestralmente durante 4 años. El banco B le ofrece pagarle una tasa dd interés del 1% capitalizable bimestralmente, durante 6 años. ¿Qué le conviene a diana: el banco A o el banco B?¿Cuánto más ganaría?

Answers

Answer:

Step-by-step explanation:

I hate brainly now

Please help me with this :)

Answers

A and D
A and D
A and D

2. Find the sum of the angle measures:
mZDEB + m ZAEC

Answers

Answer:

105+105210°

hope it helps

stay safe healthy and happy.

Please help meeeeeeeeeee

Answers

Answer:

x=72

y=54

Step-by-step explanation:

1st question. y=54 because it is a bisector of the 108 degree angles. (a polygon's interior angles add to number of sides minus 2 times 180)

There are two ys, so they add up to 108. A triangle's interior angles add to 180. 180-108 =72 x=72

2nd question, x is 72 ( it says x is the same measure) so 180-72=2y.

y still equals 54

Answer:

this is so easy

Step-by-step explanation:

3000* (15) (300) divided by 20 x 60 100ft  divided by 40

Tim, Rita, and Moby play a game of chance. If they play 63
times, and they each have an equal chance of winning,
Moby will likely win how many times?
(Help me ASAP pls)

Answers

Answer: is b.21

Step-by-step explanation:

I found the questions. 63/3=21

Cuantos años hay 5823 días

Answers

Answer:

16 anos

Step-by-step explanation:

I really need help!!!!

Answers

Answer:its b(second one)

Step-by-step explanation:

HELP PLEASE THIS IS MG LAST QUESTION FOR THIS ASSIGNMENT

Answers

Answer:

The surface area is 52 square inches.

Step-by-step explanation:

A = 2(wl + hl + hw)

2 · (2 · 4 + 3 · 4 + 3 · 2)

52

rewrite Log base 4 of 4 = 1

Answers

Answer:

[tex] log_{4}(4) = 1[/tex]

In a metal​ alloy, the ratio of zinc to copper is 3 to 19 . If there are .437 lb of​ copper, how much zinc is​ there?
The amount of zinc is

Answers

Answer:

2.768

Step-by-step explanation:

3/19=.437/x

3x=8.303

x=2.768

The price of a suit is $200. If it is on sale at 8% off, then its final price is $x. What is the value of x?

Answers

the answer to your question is x=184

Answer:

184

Step-by-step explanation:

100%-8%=92%

you only pay for 92% of the price

200×.92=184

Lily makes regular deposits to a savings account to save
money for retirement. She deposits $1000 to the account
and didn't add any additional money. The account offers
compound interest annually at a rate of 4%. How much
money does Lily have in her account in 2 years?
Step 1:
What is the Pr?
Pis ris
A=P(1+
tis
Step 2
Totalmolol is
(final answer)
1% 1+100
1/100
4% 4 +100 4100
92 9 +1000/100
1102.4
1081.6
O 1020.8
O 1108.6

Answers

I’m not gonna help much I’m bad at math but good luck have a nice day

Answer:

Step-by-step explanation:

jus needed the points lolz

Helpppp Meeeee Plzzz

Answers

h=3 cause 3x30=90 ig loo

A box of cereal has a volume of 144in^ 3 . The height of the cereal box is 12 inches , and the depth is 2 inches. What is the width of the cereal box?

Answers

Answer:

6 inches

Step-by-step explanation:

Plug the known values into the equation for volume ([tex]V=lwh[/tex]) and solve for width.

Answer:

The numerical answer you want is 6

Step-by-step explanation:

V = L * W * H

H = 12

L  = 2

V = 144

w = ?

Solution

144  = 2 * 12 * w

144 = 24 * w

w = 144/12

w = 6

a Use scientific notation to write the following numbers.

56,210
And
-0.034

Answers

Answer:

5.621 * 10

-3.4^ 10^-2.

Step-by-step explanation:

ILL GIVE BRAINLEST, find the value of x

Answers

Answer: 116

Step-by-step explanation:

Which estimate is closest to the actual value of (2.99548)⋅(1.8342)?

Answers

estimate value of :- 2.99548 is 3

estimate value of :- 1.8342 is 2

So 3•2=6

so 6 is your answer

Answer:

6 is the answer!

Explanation: have a good day

The marginal cost function of a firm is given by MC=300e^0.3x+70 when x is quantity produced. If fixed cost is Tk 5000, find the total cost function and the average cost function of the firm.

Answers

Answer:

hi how are you doing today Jasmine

Evaluate: 2^-4 =

a 1/8
b -8
c -16
d 1/16

Answers

Answer:

d. 1/16

why does the answer neeeds to be 20 characters long?!

These box plots show daily low temperatures for a sample of days in two
different towns.
Which statement is the most appropriate comparison of the centers?
O A. The median for town A, 15°, is greater than the median for town B, 2º.

OB. The median temperature for both towns is 40°

C. The mean for town A, 30°, is less than the mean for town B, 40°.

D. The median for town A, 30°, is less than the median for town B.
40°.

Answers

Answer:

its is d

Step-by-step explanation:

median on a box plot is the center line between the two squares

which of the following expressions is equivalent to the one shown below? (4^3)^5

Answers

answer: 262,144
explanation: (4^3) = 64
64^5 = 262,144

QUESTION 4 · 1 POINT
The roof pictured below has a rise of 10 feet and a run of 15 feet.
Run= 15 feet
Rise = 10 feet
What is its slope?

Answers

If the run is 15 and the rise is 10 you put the rise over the run then simplify it so you get 2/3

A marble is drawn from the pictured bag and then returned. Find the probability of the event

Answers

Answer:

There's no pictured bag so I'll have to say 1/2 or 1/12

Step-by-step explanation:

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