Here are the first five terms of a quadratic sequence. 9 24 47 78 117 Find an expression, in terms of n, for the nth term of this sequence.

Answers

Answer 1

Answer:

4n^2+3n+2

Step-by-step explanation:

9 24 47 78 117

 15  23

     8

8/2 = 4

=4n^2

9-4 = 5 (the minus value come from 4n^2 where n is the position where 9 lays)

24-16 = 8

47-36 = 11

so plus 3 every time so 3n

4n^2+3n for the first value is 7 so you need an extra 2

4n^2+3n+2

Answer 2

The quadratic sequence is 4n² + 3n + 2.

What is a quadratic sequence?

The difference between words always varies by the same amount, which is a characteristic of quadratic number sequences. The "difference between the differences between the words in the sequence is always the same" as a result. The second difference is referred to as constant.

As per the given data:

The given sequence is a quadratic sequence.

The given terms are: 9 24 47 78 117

The difference between the first three consecutive terms:

9 24 47

15  23

Difference of difference:

    8

and 8/2 = 4

∴ The first term is 4n²

9-4 = 5 (the minus value come from 4n² where n is the position where 9 lays)

24-16 = 8

47-36 = 11

so plus 3 every time

∴ The second term to add is 3n

4n² + 3n for the first value is 7, so you need an extra 2

∴ The third term to add is 2

4n² + 3n + 2

Hence, the quadratic sequence is 4n² + 3n + 2

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Related Questions

Find the mean absolute deviation of the data below:

7,4,7,7,2,10,12,8,7,5

Answers

mean formula number of values divided by the total of all the values

so

100 divided by 10

ans 10

Mary sells fruit with four of her friends. If the earnings are divided evenly, how
much must the business make in order for each person to earn $30?
What is the variable for this problem?
A. friends
ООО
B. profit ratio
C. expenditures
D. total earnings
E, fruit

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let the total money earned be x

since each of them get equal share, therefore :

[tex]\qquad \tt \dashrightarrow \:5 \times 30 = x[/tex]

[tex]\qquad \tt \dashrightarrow \:x = \$150[/tex]

And here, we used Total earning as the variable in the problem ~

So, correct choice is D

Total persons including Mary=4+1=5

Earnings per person =$30

Total earnings

5(30)150$

Option D

How many members did not vote for the art club the percent is 75% and there are 60 people?

Answers

Answer:

45 people

Step-by-step explanation:

Find what 1/4 (25%) of 60 is by dividing it by 4.

You get 15, then multiply that (25%) by 3 to get 75%.

15x3 = 45

45 is your answer.

Number of members who voted
75 / 100 × 60 = 45 members

Number of members who did not vote

60 - 45 = 15 members

Given f(x)=x^3-7x+k, and the remainder when f(x) is divided by x-5 is 78, then what is the value of k?

Answers

Answer:

the answer is k= -12

Step-by-step explanation:

use x-5= 0

x=5

I need help with these 2 problems Please and thank you :)

Answers

Answer:

the answer for the first is 3/4

and the answer for the second is 2x/x+5

Find all values of k for which the equation 3x^2−4x+k=0 has no solutions.

Answers

Answer:

k>1 1/3

Step-by-step explanation:

i have rsm too bro

The given equation has no solution when K is any real number  and k>12

We have given that

3x^2−4x+k=0

△=b^2−4ac=k^2−4(3)(12)=k^2−144.

What is the condition for a solution?

If Δ=0, it has 1 real solution,

Δ<0 it has no real solution,

Δ>0 it has 2 real solutions.

We get,

Δ=k^2−144 here Δ is not zero.

It is either >0 or <0

Δ<0 it has no real solution,

Therefore the given equation has no solution when K is any real number.

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What is 7 less than y
In math

Answers

Answer:

The algebraic expression is "y - 7".

Step-by-step explanation:

"7 less" means "- 7", so you're subtracting 7 from y. You then write it as "y - 7".

Answer:

y-7

Solution:7 less means we subtract 7.Therefore, the expression "7 less than y" looks like so:y-7So we take a number y and subtract 7 from it.

Hope it helps.

Do comment if you have any query.

. Marcella leaves home at 8:00 AM and drives to school, arriving at 8:45 AM. If the distance she
traveled is 27 miles, what is Marcella's average rate of speed in miles per hour?

Answers

Step-by-step explanation:

the formula is distance/time

since it is miles per hour and the time is given in minutes. you divide 45minutes by 60(to convert it to hour) and then you divide 27 by the answer

If the point (-4,b) is on the line what is the value of b

Answers

Answer: if you are talking about a grid than the answer is 0.

Step-by-step explanation: this is becasuse the y coordinate is the elevation of the x coordinate. B is 0 because it is on the line meaning it has no elevation

Please answer quick its due soon!!

Answers

Answer:

50000000 HAIII OK YA IS WRONG BYY GL

Step-by-step explanation:

Answer/Step-by-step explanation:

A. constant rate is y = 2x

(Since it goes up by 2 and over one)

B. unit rate is 2 dollars per pound

C. y = 2 (10)

y = 20

$20 per 10 pounds of pears

Hope this helps :)


Please help me please

Answers

Answer: x is 125

Step-by-step explanation: Angles P and S are also consecutive angles, adding up to 180 degrees. 180-55 = 125, so adding the two angles together is 180 degrees. Thus, x is 125.

Find the distance between the points

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

[tex]x1 = 2 \: \: y1 = 1 \\ x2 = 8 \: \: \: y = 9 \\ \\ \\ distance \: between \: two \: poit \: \\ = \sqrt{(x2 - x1) {}^{2} + (y2 - y1}) {}^{2} \\ \sqrt{(8 - 2) {}^{2} + (9 - 1) {}^{2} } \\ \sqrt{(6) {}^{2} + (8) {}^{2} } \\ \ = \sqrt{36 + 64} \\ = \sqrt{100 } \\ = 10[/tex]

What is a radian?



A) an angle measure with an arc length equal to one radius length

B) an angle measure with an arc length equal to one diameter length

C) an arc length that is the length of one diameter

D) a radius that is 3.14 inches long

Answers

Answer:

The answer is A

Step-by-step explanation:

An angle measure with an arc length equal to one radius length.

Given,

Radian.

Here,

Radian : An angle measure with an arc length equal to one radius length.

Radian is a measure of angle .

Degree measurements can be converted into radians.

For example,

30° = 30° × π/180°

30° = π/6

Thus radians can be converted into degrees by vice versa .

Know more about radians,

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Steve travels from NYC to Boston at 90 mph
and returns to NYC at 60 mph taking 6 hours
total for the round-trip without stopping. What is
the distance between NYC and Boston?
(A) 192 mi.
(B) 208 mi.
(C) 216 mi.
(D) 224 mi.
(E) 272 mi.

Answers

Answer:

C

Step-by-step explanation:

d / rate = time

d / 90  + d/60  = 6 hours

(2d+ 3d)/180 = 6

5d = 1080

d = 216 miles

The distance from NYC to Boston is 216 miles.

We have a guy named Steve travels from NYC to Boston at 90 mph and returns to NYC at 60 mph taking 6 hours total for the round-trip without stopping.

We have to determine distance between NYC and Boston.

What is the formula to calculate the distance travelled by the body moving with speed ' v mph '  for  ' t hours '.

The distance covered by the body will be -

d = v x t

According to question, we have -

Assume that the distance travelled by Steve from NYC to Boston be x.

Then, total distance covered for the round trip = 2x.

From NYC to Boston -

Suppose that in going from NYC to Boston, Steve takes t hours. Then

x =  90 x t            (1)

From Boston to NYC -

Steve will take (6 - t) hours to travel the distance. Then -

x = 60 x (6 - t)         (2)

Now, Equating the equations (1) and (2), we get -

90 x t = 60 x (6 - t)

1.5t = 6 - t

1.5t + t = 6

2.5 t = 6

t = [tex]\frac{12}{5}[/tex] = 2.4 hours

Therefore -

x = 90 x 2.4 = 216 miles

Hence, the distance from NYC to Boston is 216 miles.

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Which fee could decrease an investor’s return on investment when the investor may not have bought or sold any stock for a significant period of time?

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer:

inactivity fee

Step-by-step explanation:

please help its geometry. Solve for x

Answers

Answer

the answer is x = 9 root 3

Match the following, cylinder rectangular prism cone triangular prism square prism

Answers

Surface Area of following shapes

Cylinder = 2πrh + 2πr²

where "h" - height, "r" - radius

Rectangular Prism = 2lw + 2lh + 2wh    also      2B + Ph

"l" - length, "w" - width, "h" - height

Cone = πrl + πr²

"l" - slant height, "r" - radius

Triangular Prism = 2B + Ph

"B" - area of one base, "P" - perimeter of base, "h" - height

Square Pyramid = 2l l + l²

"l " is height, "l" is side length

LMNO is a kite. LO is 5 less than two times NO. The perimeter is 32 cm. Let x represent the length of side NO.

Answers

Answer: 7 cm

Step-by-step explanation:

A triangle has sides of length 6 8 and 10. Do the sides form A Pythagorean triple? Explain

Answers

6*6=36 + 8*8=64
36+64 and 10*10 =100
B is correct

Which polynomial represents the area of the rectangle?
44-6
x +1
O 4x2 - 2x - 6
O 4.2 - 6
O 4.c+ 2x - 6
0422 - 10.2 - 6

Answers

Answer:

4x2 - 2x - 6

hurry !!! not much time left

Answers

The correct answer would be:

-10x + y = 4

10x - y = -4

The number 3 represents of the class.

Answers

Answer:

WE CANT ANSWER WITH THAT LITTLE OF INFORMATION

pls helppppppppppppp​

Answers

So I will be giving you the formula

[tex]a^{2} +b^{2} =c^{2}[/tex]

This [tex]c^{2}[/tex] is the hypothenuse which is opposite to 90 degrees

ill start from B

so [tex]a^{2}[/tex] and [tex]b^{2}[/tex] can be any side except the side opposite to 90 degrees it shouldn't change.

Answer for B with steps:

=> [tex]11^{2} +13^{2} =c^{2}[/tex]

=>simplify [tex]290=c^{2}[/tex]

=> get square root using your calculator [tex]\sqrt{290} =\sqrt{c^{2}[/tex]

=>the answer to B is 17.0 which is just 17

Answer for C

=>[tex]7^{2} +x^{2} =12^{2}[/tex]

=>[tex]49+x^{2} = 144[/tex]

=> subtract 49 on both sides 95 so its [tex]x^{2} = 95[/tex]

=> take square root [tex]\sqrt{x} ^{2} = \sqrt{95}[/tex]

=> Its 9.7

For the rest of the hard questions you have to know whats width is and height and the properties of rectangles they are very easy

As long as you understand the concept-

follow the steps I provided.

plss help me noww if you can

Answers

Answer:

i cant see the picture at all

Step-by-step explanation:

Can someone help me?

Answers

Answer:

Step-by-step explanation:it is the degree of 4

PLEASE HELPP ITS DUE IN A HOUR


Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet by 13.5 feet. The walls in the room are 9 feet tall, and the room contains two doors and two windows.

The new bedroom set she purchased includes a queen-sized bed, one nightstand, and a dresser. The following dimensions represent the rectangular length and width dimensions of the furniture.

Bed: 60 inches by 80 inches
Nightstand: 18 inches by 18 inches
Dresser: 64 inches by 18 inches

Charlotte plans to place the bed in the center of one of the long walls of the room. And, she plans to place the dresser in the center of the opposite long wall. The nightstand will be placed on one side of the bed.

Using the scale 1/4, inch = 1 foot, make a model scale drawing of the bedroom. Label the exact scaled dimensions of the room and sketch in the approximate placement of the furniture. Note: You do not need to calculate the exact scaled measurements of the furniture​

Answers

Answer:

what happening to you

please answer your very

hey I need help please help if you can ty!!! :)))​

Answers

Answer:

12.3

Step-by-step explanation:

cause it's to the tenth which is the decimal place right after the decimal which make 12.342 12.3

Susana went on a trip. She covered a total of 135.7 km without making any stops along the way. and it took her exactly 2 hours to drive at her destination. At what average speed did she drive?

Answers

Answer:

67.85 kph

Step-by-step explanation:

Formula: Distance / Time = Speed per hour
135.7 / 2 = 67.85

Which type of function best models the data in the table?
A. linear
B. exponential
C. quadratic
D. inverse variation

Answers

Answer: Your answer is indeed D. Inverse variation.

Hope this helped!

Answer:

first question:

inverse variation

second question:

for evenly spaced x-values, the ✔ difference of consecutive y-values is not constant.

Step-by-step explanation:

hope this helps!! have an amazing day <3

A farmer has an equal number of horses in 4 different fields on his farm. Which choice could be the total
number of horses?

205
232
253
289

Answers

Answer:

B -- 232

Step-by-step explanation:

because you can divide 232 by 4 and get a whole number.

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