Find the nth term of this quadratic sequence 3,8,15,24,35...

Answers

Answer 1

Answer:

n^2 + 2n.

Step-by-step explanation:

n       =       1     2     3     4     5

term t =     3    8     15   24   35

Diffs  =          5    7      9     11

                        2     2     2             - so the nth term contains n^2.

n^2   =       1     4      9    16    25

t - n^2 =    2    4      6     8     10

This is an arithmetic sequence with nth term = 2 + (n-1)2 = 2n

So the nth term of the quadratic sequence = n^2 + 2n.


Related Questions

How to Divide $120in the ratio 3:5

Answers

120 ÷ ( 3 + 5 ) = 120 ÷ 8 = 15

15 × 3 = 45

15 × 5 = 75

_________________________________

Answer:

15:75

Step-by-step explanation:

120 = 3x plus 5x

120 = 8x

120/8 = x

x = 15

3*15 = 45 and 5*15 = 75

what is the value of x??
−3(x+9)=33

Answers

Answer:

x= −20

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(x+9)=33

Step 1: Simplify both sides of the equation.

−3(x+9)=33

(−3)(x)+(−3)(9)=33(Distribute)

−3x+−27=33

−3x−27=33

Step 2: Add 27 to both sides.

−3x−27+27=33+27

−3x=60

Step 3: Divide both sides by -3.

−3x −3 = 60 −3 x=−20

Answer:

x=−20

Hope this helps! :)

Answer:

x=-20

Step-by-step explanation:

−3(x+9)=33

Divide both sides by -3

-3(x+9)/-3=33/-3

simplify;

-3(x+9)/-3

Divide the numbers:3/3=1

=x+9

Simplify 33/-3

=-33/3

Divide the numbers 33/3

=-11

x+9=-11

Subtract 9 from both sides

x+9-9=-11-9

Simplify;

x=-20

Helped by none other than the ONE and ONLY #QUEEN aka #DRIPPQUEENMO!

I WILL REWARD HIGHEST POSSIBLE THING, JUST ANSWER PLEASE!

Answers

Given:

Endpoints of a line segment EF are E(-3,8) and F(7,-7).

Point  P divides the segment EF such that EP:PF = 2:3.

To find:

The coordinates of the point P.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of the points are:

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

It is given that EP:PF = 2:3. It means the point P divides the segment EF in 2:3.

Using section formula, we get

[tex]P=\left(\dfrac{2(7)+3(-3)}{2+3},\dfrac{2(-7)+3(8)}{2+3}\right)[/tex]

[tex]P=\left(\dfrac{14-9}{5},\dfrac{-14+24}{5}\right)[/tex]

[tex]P=\left(\dfrac{5}{5},\dfrac{10}{5}\right)[/tex]

[tex]P=\left(1,2\right)[/tex]

Therefore, the coordinates of the point P are (1,2).

pls help asap 15 point and brainliest

Answers

Answer:

The distance between the two points is 10.3

Step-by-step explanation:

To find the length of the line joining the two points, we are going to use the distance formula

Mathematically, we have this as;

D = √(y2-y1)^2 + (x2-x1)^2

From the question;

(x1,y1) = (-3,4)

(x2,y2) = (2,-5)

Thus, we have it that;

D = √((-5-4)^2 + ((2-(-3)^2

D = √81 + 25

D = √(106)

D = 10.3

Mai had $14.50. She spent $5.25 at the arcade. What is the exact amount of money
Mai has left?

Answers

Answer:

nine dollars and 27 cents

Step-by-step explanation:

if u minus 14.50 minus 5.25 u get 9.27 9 dollars and 27 cents

Yw!

Answer:

9.25

Step-by-step explanation:

subtract 5.25 from 14.50

‼️Someone help please..
Find the missing term in each sequence

Answers

Answer:-170

Step-by-step explanation:as you can see it is going in a pattern from the negative ok thanks.

PLEASE HURRY: On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75% of
the length it was on Monday.
Which of the following expressions could represent how many centimeters long Florencia's hair was after the
haircut?
Chose 2 answers:

h(1 - 0.75)

(1 - 75/100)h

3/4h

0.75h

1/4h

Answers

Answer:

It seems that you are trying to find the length of hair of Florencia on Tuesday.

Given that length of the hair of Florencia on Monday = h centimeters

On Tuesday, she got hair cut.

So new length of the hair of Florencia on Tuesday = 75% of Monday value

= 75% of (h)

= 0.75* (h)

= 0.75h

Hence final answer is the length of the hair of Florencia on Tuesday is ( 0.75h ) centimeters.

Answer:

3/4h and 0.75h

Step-by-step explanation:

khan

Which statements about opposites are true?

Select each correct answer.


The opposite of zero is zero.

A number and its opposite are located the same distance from zero on a number line.

The product of a number and its opposite is always 1.

The opposite of a negative number is always a positive number.

Answers

9514 1404 393

Answer:

  A, B, D

Step-by-step explanation:

The "opposite" of a number is that number with its sign changed.

__

The opposite of zero is zero.A number and its opposite are located the same distance from zero on a number line.The opposite of a negative number is always a positive number.

Answer:

The "opposite" of a number is that number with its sign changed.

need help pls I give 20 points out

Answers

Yes anything will fit if you make it fit


PLZ HELP DUE TODAY THE ANSWER CHOICES ARE
A.315
B.84
C.273
D.231
No links I will report forgot to put the picture last time plzzz

Answers

from the last time i did it, i believe its B

a number increased by 8 is 21 help

Answers

Answer:

the number is 13

Step-by-step explanation:

13+8=21

Answer:I think it means that a number plus 8 is 21? or possibly multiplied?

Step-by-step explanation:

Please help! Tysm if you do!

Answers

Answer:

A

Step-by-step explanation:

We can solve this problem by eliminating wrong answers

It can be b because there is no 3

It can be c because the equation would be 4+3

And it can be d because the equation would be 3x+4

so it must be a

Answer:

option A is correct

as additional page costs is not fixed so there will be any value of x with multiply by 4

and the fixed remain only one time so it remains fixed and 3 is also fixed.

What is the value of x?

Answers

X=6 ☺️ hope this helps

Find an angle between 0 and 360 degrees that is coterminal with 232

Answers

Answer:

Hola que hace

:I

Step-by-step explanation:

Consider the diagram below. Given tir tix til Which triangle was constructed congruent to the given triangle?​

Answers

Answer: The anwser is Triangle 2

The given triangle is congruent to the second triangle because they same construction methods and the have same size and same shape.

What is the congruent triangle?

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

We have given a congruent triangle in the picture.

After close observation, the second triangle has the same size and the same shape, and the same construction method by arc method.

Other triangles have different construction methods.

Thus, the given triangle is congruent to the second triangle because they same construction methods and the have same size and same shape.

Learn more about the congruent triangle here:

https://brainly.com/question/12413243

#SPJ2

what is 4(11h +3g)?????

Answers

Answer:

[tex]12g+44h[/tex]

Step-by-step explanation:

Step 1: Rearrange terms

[tex]4(11h+3g)\to4(3g+11h)[/tex]

Step 2: Distribute

[tex]4(3g+11h)\to12g+44h[/tex]

Answer:

44h+12g

Step-by-step explanation:

Okay, so, this a standard algebraic expanding problem, so:

We take our 4(11h + 3g)

because we have parenthesis, we have to distribute the 4:

4 x 11h + 4 x 3g = 44h + 12g

So, 4(11h + 3g) expanded is 44h + 12g

hope this helps:)

Cuanto costara alforbrar un cuarto de 12 pies de ancho por 15 de largo si la alfombra vale 20.80 la yarda cuadradas

Answers

Respuesta:

416

Explicación paso a paso:

El Área de la habitación:

Largo * ancho

Longitud = 15 pies

Ancho = 12 pies

Área de la habitación = Largo * Ancho

Área de la habitación = 15 pies * 12 pies

Área de la habitación = 180 pies²

Conversión del área de la habitación en patio²

Dividir el área en pies² por 9

180 pies² ÷ 9 = 20 yardas²

Costo de la alfombra por yarda cuadrada = 20.80

Costo total de la alfombra = 20.80 * 20 = 416

A plumbing service costs $32.50 per hour of work. Let x represent the amount of time that a job takes and let y represent the total cost.
- Is it continuous or discrete?

Answers

Answer:

This would be discrete

Hope this helps

Find x, the missing side length in the right triangle 18 8

Answers

Answer:

19.7

Step-by-step explanation:

a^2+b^2=c^2

so 18^2+8^2=x^2

324+64=388

x is about 19.7

A^2 + B^2 = C^2
18^2 + 8^2 = 388
C = 20

Suppose a city with population of 400,000 has been growing at a rate of ​5% per year. If this rate​ continues, find the population of this city in years.

Answers

The number of years value isn't given, we could use an hypothetical value, which can be substituted for the correct number of years given in your exercise in other to find the exact answer.

Using a t value of 10 years

Answer:

651558

Step-by-step explanation:

Given that:

Initial population, P0= 400,000

Growth rate, r = 5%

Using the relation :

P(t) = P0 * (1 + r)^t

t = number of years = 10

P(10) = 400000 * (1 + 0.05)^10

P(10) = 400000 * (1.05)^10

P(10) = 400000 * 1.628894626777

P(10) = 651557.8507

= 651558 nearest whole number.

Recall that, the t value used is hypothetical and should be replaces with te exact value given in your question.

what is volume triangluar prism width of 6, length of 5, and a height of 13

Answers

Answer:

1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

Step-by-step explanation:

I don’t really know how to explain it’s sry.

Choose all the examples that can be measured using volume.?

the amount of cereal in a box

the amount of milk in a milk carton

the amount of space inside a van

the amount of writing space on a piece of paper

the amount of space a picture takes up on the wall​

Answers

Answer:

the amount of cereal in a box

the amount of milk in a milk carton

the amount of space inside a van

How many solutions does the system have? 2x+3y=-6 3x-4y=-12. A) exactly one solution b) no solution c) infinity many solutions

Answers

Answer:

a.

Step-by-step explanation:

by elimanation,cimparison or substitution you wull get the value of x=-60/17 and y=6/17

question on the picture:

Answers

Answer:

[tex]36\ feet[/tex]

Step-by-step explanation:

Assume that the shadow of an object in this problem is proportional to the height of the object. One can form the following ratio to describe the objects in this problem,

[tex](height):(shadow)[/tex]

As per the given problem, a (6) foot person casts a (1.7) foot shadow. Therefore, one can form the following ratio,

[tex]6:1.7[/tex]

It is given that there is a lighthouse that has a shadow of (10.2) feet, one is asked to find its height. Use the parameter (x) to represent the unknown; since the ratios are related, one can form a proportion to solve for(x).

[tex]6:1.7=x:10.2[/tex]

Cross products,

[tex](1.7)(x)=(6)(10.2)[/tex]

Simplify,

[tex]1.7x=61.2[/tex]

Inverse operations,

[tex]1.7x=61.2[/tex]

[tex]/1.7[/tex]

[tex]x=36[/tex]

What is the median for the data set below?

Answers

? I need more explaining

Winston earns $140.00 by selling 56 hotdogs at a concession stand at school Using the same rate for the cost of one hotdog, how many more hotdogs would Winston need to sell to earn a total of $175.00?

Answers

Answer:

175/2.5=70

Step-by-step explanation:

What is ?
A.20º
B.70º
C.90º
D.180º

Answers

Answer:

i think it is 90

Step-by-step explanation:

remember the line is srait

write in slope-intercept form the equation of a line having slope -8 and Y-intercept -2

Answers

Answer:

Step-by-step explanation:

The slope-intercept form of a linear equation is:

y

=

m

x

+

b

Where

m

is the slope and

b

is the y-intercept value.

For this problem we are told:

m

=

7

b

=

6

Substituting these values into the formula gives:

y

=

7

x

+

6

i do not know wich one it is

Answers

Answer:

B

Step-by-step explanation:

You are right becuase thats mainly were the cluster is.

Write the equation of the line that passes throught the points (-1, 6) and (5, -4).

Answers

Answer:

y = -5/3x + 13/3

Step-by-step explanation:

(-1, 6) and (5, -4).

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (5 - (-1))

Simplify the parentheses.

= (-10) / (5 + 1)

= (-10) / (6)

Simplify the fraction.

-10/6

= -5/3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -5/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (5, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -5/3(5) + b

To find b, multiply the slope and the input of x(5).

-4 = -25/3 + b

Now, add 25/3 to both sides to isolate b.

-4 ⇒ -12/3

-12/3 + 25/3 = 13/3

13/3 = b

Plug this into your standard equation.

y = -5/3x + 13/3

This is your equation.

Check this by plugging in the other point you have not checked yet (-1, 6).

y = -5/3x + 13/3

6 = -5/3(-1) + 13/3

6 = 5/3 + 13/3

6 = 18/3

6 = 6

Your equation is correct.

Hope this helps!

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