find the nth term of this quadratic sequence 4 9 16 25 36

Answers

Answer 1

Answer:

        aₙ = n² + 2n + 1

Step-by-step explanation:

a₁ = 4 = 2² = (1 + 1)²

a₂ = 9 = 3² = (2 + 1)²

a₃ = 16 = 4² = (3 + 1)²

a₄ = 25 = 5² = (4 + 1)²

a₅ = 36 = 6² = (5 + 1)²

Therefore:

               aₙ = (n + 1)² = n² + 2n + 1


Related Questions

Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8? (1, 3) (3, 1) (–4, 2) (2, –4)

Answers

the ordered pair is (-4,2)

x^(2)-8x=-7
Please show work.

Answers

Answer:

This equation has two solutions.

1 solution is: x - 1

Solution #2 is : x - 7

Step-by-step explanation:

1. Move the constant to the left. We end up with x^2 - 8x +7 = 0

2. Rewrite the expression: x^2 - x - 7x + 7 = 0

3. Factor the expressions: x * (x-1) -7(x-1) = 0

4. Separate into possible cases : (x-1) * (x-7) = 0

5. Solve the equation(s): x-1 = 0

                                         x-7 = 0

6. Possible solutions are as follows: x-1 OR x-7

Find the cosine of ZS.
37
S
T T
12
35
R
Simplify your answer and write it as a proper
fraction, improper fraction, or whole number.
COS (S) =



Geometry

Answers

Step-by-step explanation:

cos=adj/hyp cos=12/37=cos-1 0.324

=71.09°

Answer for a brainliest.

Answers

Answer:

9.8596

Step-by-step explanation:

no explanation just that An apple, potato, and onion all taste the same if you eat them with your nose plugged and Bananas are curved because they grow towards the sun ☀

Answer:

GF = 7

Step-by-step explanation:

lol, hope this helps

A square has a diagonal that is 26 feet long.
What is the perimeter of this square?

Answers

answer:

52[tex]\sqrt{2}[/tex]

step-by-step explanation:

we can use the 45-45-90 triangle theorem for this: x, x, x[tex]\sqrt{2}[/tex]

this is because this is a square

squares have two sides of the same length, and the diagonal is differentthe x's stand for the sides, whereas the x[tex]\sqrt{2}[/tex] stands for the diagonal

x[tex]\sqrt{2}[/tex] = 26

x = 13[tex]\sqrt{2}[/tex]

now multiply this by 4 because this is the length of one of the sides of the square. in order to find the perimeter we have to either add this four times or multiply by 4

13[tex]\sqrt{2}[/tex] X 4 = 52[tex]\sqrt{2}[/tex]

24. Solve the system of equations below: 2x - 6y = - 12 x+2y = 14
how do I do this I don't get it please help​

Answers

Answer:

(x,y) (28/19, -35/19)

hope this helps

Answer:

x = 6, y = 4

Step-by-step explanation:

multiply the equation x + 2y = 14 by two then subtract the equation 2x - 6y = - 12 to eliminate x and solve for y:

×2 => 2x + 4y = 28

     -)   2x - 6y = -12

_________________

                10y = 40

=>                 y = 4

substitute y = 4 to either of the equation 2x - 6y = - 12 OR x + 2y = 14   to solve for x:

=> 2x - 6(4) = -12

=> 2x = 12

=> x = 6


Which of the following
situations corresponds to
this graph? (Be careful!
The y-axis shows speed, not distance.)

Answers

Draw a two-dimensional representation of each prism. Then find the area of the entire surface of each prism

A right triangle has one leg with a length of 1 inch. In addition, the length of the hypotenuse is 1.5 times greater than the length of the other leg. Determine the measurements of the acute angles in the right triangle.

Answers

Answer:

25.5 inches is the correct answer

Answer: 25.5 inches

Write the following phrase as an algebraic expression use b for the unknown.
“A number more than 6”

Answers

Answer:

b>6

Step-by-step explanation:

b is more than 6.

> more than sign

unknown: b
a number more than 6. more than means +
answer is: b+6

which table shows the function y=2x+4?

Answers

A is the answer. Work is shown below

Please help! The last time that Damitrius flew to visit his grandmother in Oregon, the plane ticket cost $380. He recently read in the newspaper that plane tickets had been marked up 30%. How much will he have to pay for a ticket for his upcoming trip?

Answers

Answer:

The answer is 494 dollars

Step-by-step explanation

30% of 380 is 114 and then you add 380 to 114 and you get 494 dollars


Jeremy ran 16 miles less than Kacie last week. Jeremey ran 8 miles. How many miles did Kacie run?

Answers

Answer:

24 miles

Step-by-step explanation:

if J (Jeremy) ran 16 less than K(Kacie) and J ran 8 miles add 8 and 16 together which is 24 to get the answer.

hope this helped

Answer:

24 miles

Step-by-step explanation:

let what Kacie ran be x miles

x-16=8, 16 being the difference of what they ran, 8 being how many miles jeremey ran

that makes x=24 because 16+8=24

Find the value of x in the triangle shown below.
56°
31
x

Answers

X=93
All angles in a triangle equal 180...56+31=87
180-87=93

Landon used a semicirce, a rectangle, and a right triangle to form the figure shown.
6 cm
4 cm
- 10 cm
Which is the best estimate of the area of the figure in square centimeters?
A S2 cm
B 44 cm
C 26 cm
D 38 cm

Answers

Area of rectangle= base x height
6x4=24

Area of triangle= 0.5 base x height
We have the height but we don’t have the base, to calculate the base we subtract 10-6 which equals to 4
0.5 x 4 x4 =8

Area of a semicircle= o.5 x pi x r^2
We have the diameter and to find the radius we divide it by 2
4/2 = 2
0.5 x pi(or 3.14) x 2^2
=6.28
Total area = 24 + 8+ 6.28 =38.28cm^2


Answer: the answer will be 38 centimeters

Step-by-step explanation:

the sum of the first ten terms of a linear sequence is -60 and the sum of the first fifteen terms is -165. Find the 18th term of the sequence​

Answers

Answer:

         a₁₈ = - 31

Step-by-step explanation:

[tex]S_{10}=\dfrac{2a_1+d(10-1)}{2}\cdot 10\\\\\dfrac{2a_1+9d}{2}\cdot 10=-60\\\\\dfrac{2a_1+9d}{2}=-6\\\\2a_1+9d=-12\\\\2a_1=-12-9d\\\\\\S_{15}=\dfrac{2a_1+d(15-1)}{2}\cdot 15\\\\\dfrac{2a_1+14d}{2}\cdot 15=-165\\\\\dfrac{2a_1+14d}{2}=-11\\\\2a_1+14d=-22\\\\-12-9d+14d=-22\\\\ 5d=-10 \\\\ d=-2\\\\\\2a_1=-12-9(-2)=-12+18=6\\\\a_1=3\\\\\\ a_{18}=a_1+17d=3+17(-2)=3-34=-31[/tex]

ok 1502837598758623875 x 9364876408763o17360876356217356

Answers

Answer:

1.4073888e+48

Step-by-step explanation:

These two triangles are similar. Find the value of x.
4.5
6
Х
4
7.5
an
5

Answers

Answer:

The value of x is 3

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

4.5/7.5 = x/5

5 * 4.5 = 7.5 * x

x = (5 * 4.5)/7.5

x = 3

Which equation is represented by the graph below?




1) y = 5*
2) y = 0.5
3) y = 5*
4) y = 0.5-*​

Answers

Answer:

0.5^x

Step-by-step explanation:

Which equation represents a line that passes through (2, -0.5) and has a slope of 3? Oy - 2 = 3(x+ -0.5) 0 y 3= 2(x + 0.5) 0y + 7 = 3(x - 2) Oy + 7 + 2(x - 3)​

Answers

Answer:

y=3x-6.5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-0.5)=3(x-2)

y+0.5=3x-6

y=3x-6-0.5

y=3x-6.5

The slope of a line indicates the measure of the steepness and the direction of the line. The slope of any line can be calculated using any two distinct points lying on the line. The equation is y = 3x-6.5. The correct option is D.

What is equation of a line?

The equation of a line is an algebraic form which represents the set of points, which together form a line in a coordinate system. The equation of line is a linear equation with a degree of one. It can be formed with the help of the slope and a point on the line.

The equation of a line passing through the point and slope is given as:

(y - y₁) = m (x - x₁)

(y - -( 0.5)) = 3 ( x - 2)

(y + 0.5) = 3 (x - 2)

(y + 1/2) = 3 (x - 2)

or

y + 0.5 = 3x - 6

y = 3x - 6.5

Thus the correct option is D.

To know more about equation of a line, visit;

https://brainly.com/question/29201769

#SPJ7

Your question is incomplete most probably your full question was:

Which equation represents a line that passes through (2, -0.5) and has a slope of 3?

A. y - 2 = 3( x + 1/2)

B. y- 3 = 2 ( x+ 1/2)

C. y + 1/2 = 3 (x - 2)

D. y + 1/2 = 2 (x -3)

can someone help me please?

Answers

Answer: It would be A 3$

Step-by-step explanation:

Because 5+3=8 and 8+3=11

what is 15 times 3 by 7

Answers

Answer:

6.42857142857

Step-by-step explanation:

Answer:

6 3/7

Step-by-step explanation:

Please Help Me I Need To Pass This

Answers

Answer:

Hello! I believe the answer is B!

My second answer would be D!

I can't really pick from the 2!

I hope you pass!

Have a great day!

Byes!

Step-by-step explanation:

Your welcome! Thanks so much!

Have a great weekend!

Sincerely,

Brainliest :)

An item is regularly priced at $57. It is now priced at a discount of 55% off the regular price.

Answers

Answer:

the item  would cost 25.65

Step-by-step explanation:

Find the volume 10 2/5cm 3cm 8 1/3cm​

Answers

Answer:

260

Step-by-step explanation:

Multiply all of the numbers together

Part D

What do the measures of angles BDA and BEA and the fact that AD and AE are radii of circle A tell us about BD and BE



Font Sizes

Answers

Answer:

BD and BE are tangents to the circle

Step-by-step explanation:

Given

See attachment

Required

What does BD and BE represent?

From the attachment, we have:

[tex]\angle BDA = 90^\circ[/tex]

[tex]\angle BEA = 90^\circ[/tex]

[tex]Radii = AD\ and\ AE[/tex]

The measure of angles between a tangent and the radius of a circle is always [tex]90^\circ\\[/tex]

So, because [tex]\angle BDA = 90^\circ[/tex] and AD is a radius, then BD is a tangent to circle.

Similarly,; [tex]\angle BEA = 90^\circ[/tex] and AE being a radius implies that BE is a tangent to circle.

How long will it take Eniola to save $5,000 if she started with $500 and found a rate of 6.2%? Round to the nearest whole number.

Answers

Answer:

the time period is 38.28 years

Step-by-step explanation:

The computation of the time period is shown below:

Given that

RATE = 6.2%

PV = $500

PMT = $0

FV = $5,000

The formula is shown below:

= NPER(RATE;PMT;-PV;FV;TYPE)

After applying the above formula, the time period is 38.28 years

Hence, in order to save $5,000 it would take 38.28 years

WHAT WOULD THIS BE!!!


no scammers please !!

Answers

I’m pretty sure it’s no but not fully sure

8 - 3 = 9

what is the value of g in the equation?

Answers

Answer:

Hi! The answer to your question is [tex]g = 0[/tex]

Step-by-step explanation:

In the equation there is no g so g is nonexistant so it equals 0

☆*: .。.。.:*☆☆.*: .。..。.:*☆☆*: .。.。.:*☆☆.*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

The Johnson family pays 1,783 per month for rent. If the cost of their rent remains the same, how much will they pay for rent over 15 years?

Answers

Answer:

1 year= 12 months

1 months rent=1783

1783x12=21396

15 years = 180 months

the equation would be

1783x180=320940

or

21396x15= 320940

warm up:Area.how many square units will it take to fill up this rectangle?

Answers

Answer:

12

Step-by-step explanation:

here's your solution

=> area of rectangle = length*width

=> area 4*3 = 12.squnit

=> area of square = side^2

=> area = 1.squnit

=> Number of square = area of rectangle/area of square

=> no of square = 12/1

=>. 12

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