what are the first 3 terms of the sequence represented by the expression n(n-2)-4

Answers

Answer 1

Answer:

-5, -4, -1

Step-by-step explanation:

To find the terms of the sequence, you have to use the given expression.

n ( n - 2 ) - 4

Here,

n ⇒ term number,

Accordingly, let us find the first 3 terms in this sequence.

For that, replace n with the term number

When n = 1,

T₁ = n ( n - 2 ) - 4

T₁ = 1 ( 1 - 2 ) - 4

T₁ = -5

When n = 2,

T₂ = n ( n - 2 ) - 4

T₂ = 2 ( 2 - 2 ) - 4

T₂ = - 4

When n = 3,

T₃ = n ( n - 2 ) - 4

T₃ = 3 ( 3 - 2 ) - 4

T₃ = - 1


Related Questions

Find the distance between the two points. Leave
your answer exact. (-8, 10) and (-6, 7)
A. V13
B. 3.6
C. V169
D. 13

Answers

Answer:

A. V13

Step-by-step explanation:

20 POINTS
How do you find the interquartile range

Answers

Answer:

To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Step-by-step explanation:

(Khan Academy)

You would first find your mean and then when you found that you would subtract you Q3 from your Q1 in order to find your IQR (Interquartile range.)

NEED ANSWERS ASAP!!! - How do you find the value of x??

Answers

Answer: Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

equal the equations

(x+20)=(2x-10)

then answer the equation

Step-by-step explanation:

Question 3 , HELP! PLEASE!

Answers

Answer:

12mlies

Step-by-step explanation:

just add 7 + 5 and boom you have you answer

Solve the inequality and enter your solution as an inequality in the box below, using "" for 2 if necessary. -5(4x + 7) ​

Answers

Answer:

I simplified it to -20x - 35

Step-by-step explanation:

-5 times 4x is -20x, -5 times 7 is -35.

Find the value of X.

Answers

2x +3x = 180
5x = 180
x = 36

Answer:

3X+ 2X =180

5X = 180

X,/ 180/5

X = 36

I will mark you brainiest if you can answer this

Answers

Answer:

I believe it's eighteen.

Step-by-step explanation:

DEF is a right angled triangle calculate the length of EF correct to 3 sigificant figures

Answers

Answer:

[tex]\displaystyle EF \approx 15.9[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = 28°

Adjacent Leg = EF = x

Hypotenuse = DF = 18

Step 2: Solve for x

Substitute in variables [Cosine]:                                                                    [tex]\displaystyle cos28^\circ = \frac{x}{18}[/tex][Multiplication Property of Equality] Multiply 18 on both sides:                  [tex]\displaystyle 18cos28^\circ = x[/tex]Evaluate trig:                                                                                                  [tex]\displaystyle 18(0.882948) = x[/tex]Multiply:                                                                                                          [tex]\displaystyle 15.8931 = x[/tex]Rewrite:                                                                                                          [tex]\displaystyle EF = 15.8931[/tex]Round:                                                                                                             [tex]\displaystyle EF \approx 15.9[/tex]

Solve for the value of p.
2 Xp=44

Answers

Answer:

p=22

sooooooooooooooooo ezzzzzzzzzzzzzzzzzzzzz

PLEASE SOLVE! Also how do you properly solve them ( please include steps)

Answers

1) 2x+3 = 5
-3 -3
2x =2
x=1

2) -x + 8 = 5
-8 -8
-x = -3
X=3


Here is the answer I hate typing so I just wrote it and took the picture

4. Calculate the mean of the data set {22, 34, 37, 23, 45, 21, 29, 37}. Round to the nearest tenth.
37
31.0
35.4
31.5

Answers

Answer:

31.0

Step-by-step explanation:

The mean of a given set of data is the ratio of the sum of the data to the number of units that make up the data set. It is also called the average of the data set.

Given the data set {22, 34, 37, 23, 45, 21, 29, 37}. There are 8 numbers in the set. The total of these numbers

= 22 + 34 + 37 + 23 + 45 + 21 + 29 + 37

= 248

The mean = 248/8

= 31

Two ships leave Liverpool at the same time one travel north- west at an average speed of 10.5 km/h while the other travels at an average speed of 14km/h in a bearing of 280

Answers

Answer:

нечего не понятно но очень интересно да, очень

Janna works at a lab with a huge circular particle accelerator. It has a radius of 4 kilometers. What is the accelerator's diameter?​

Answers

Step-by-step explanation:

since it is a circle the diameter is two times larger than radius.So 4×2=8km

It would be appreciated if you could may help me with this

Answers

Answer:

Answer for the first pic is 122.24  

Answer for the second pic is A

Step-by-step explanation:

the rectangle is 72 in

the semi-circle is 50.24

Answer for the first pic: 122.24 in  

Answer for the second pic: A

A tree is growing at a constant rate. It is recorded that at the 7th year since it was planted it was at a height of 25 feet. It was recorded again at the 10th year since it was planted and it was at a height of 31 feet. How tall was the tree when it was first planted.

Answers

Answer:

Step-by-step explanation:

h₁₀ - h₇ = 31-25 = 6 ft

The tree grew 6 ft in 3 years, or 2 ft per year.

In 7 years the tree grew 14 ft. It was 25-14 = 11 ft when planted

uhhh just look at the screenshot then answer

Answers

Answer:

The Independent is the Number of Hours while the Dependent is the Number of Miles

Equation: y= 50x

Step-by-step explanation:

I Hope this helped

By selling a watch for Rs 1275, Javed lost 15%. At what price should he sell to make a profit of 10%

Answers

Answer: Rs. 1,650

Step-by-step explanation:

First find the original price of the watch.

If the watch is sold at Rs. 1,275, there is a 15% loss.

Assume the watch is x.

(1 - 15%) * x = 1,275

0.85x = 1,275

x = 1,275 / 0.85

x = Rs. 1,500

Now add a 10% markup on the original:

= (1 + 10%) * 1,500

= 1.1 * 1,500

= Rs. 1,650

50 apples cost $25. How much would 75 apples cost?​

Answers

Answer:

[see below]

Step-by-step explanation:

50 apples cost 25 dollars.

25/50 = 0.5

Each apple cost half a dollar.

0.5 * 75 = 37.50

75 apples should cost $37.50.

Hope this helps.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Yvonne put $4,000 in a savings account. At the end of 3 years, the account had earned $960 in simple interest. a. How much does she have in her account at the end of 3 years?b. At what annual simple interest rate did the account grow? C. How many more dollars would she have in her account if the interest rate were 1% greater?

Answers

Solution :

The amount invested by Yvonne = $ 4,000

Time of investment = 3 years

The simple interest earned by Yvonne in 3 years = $ 960

a). Therefore, the amount Yvonne earned by the end of three years is

= principal + interest earned

= 4,000 + 960

= $ 4,960

b). The formula for simple interest(S.I.) is given by :

   [tex]$S.I. =\frac{P.T.R}{100}$[/tex]

  or [tex]$R = \frac{SI \times 100}{P.T}$[/tex]

          [tex]$ = \frac{960 \times 100}{4000 \times 3}$[/tex]

          = 8%

c). Now if the interest rate is 1% greater, i.e. R = (8+1) = 9%

   ∴ [tex]$SI =\frac{P.T.R}{100}$[/tex]

      [tex]$SI =\frac{4000 \times 3 \times 9}{100}$[/tex]  

      SI = $1,080

Therefore, the amount at the end of 3 years with 9% rate of interest will be

  = 4000 + 1080

  = $ 5080

Thus, Yvonne will have 5080 - 4960 = $ 120 money more in her account if the rate of interest was 1% greater.

         

What is the x-value of the solution to the system of equations?
5x + 4y =8
2x -3y = 17
-3
O -2
O 4
O5

Answers

Answer:

-234

Step-by-step explanation:

5x + 4y =8 2x -3y = 17 -3 O -2 O 4 O5=234

Terry is building a rectangular pen for her sheep. She wants the perimeter of the pen to be no more than 65 feet, and the length of the pen to
be at least 17 feet.
Which system can be used to find the possible values for the length (l) and width (w) of a rectangular pen for Terry's sheep?

Answers

If this is multiple choice it’s D I remember something like this a while ago

Answer:D!

Step-by-step explanation: i’m taking the test rn!

Diego drank 0.162 liters of water from a 1-liter bottle. How much water is left in the bottle?

Answers

0.838 liters left in the water bottle. 83.8% of water remains

What is the slope and y-intercept of the following equation: y = -4 +2x

Answers

Answer:

slope = 2, y- intercept = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4 + 2x , that is

y = 2x - 4 ← is in slope- intercept form

with slope m = 2 and y- intercept c = - 4

A bike rental company rents beach bikes. They charge an initial fee plus $3 for each hour the
bike is rented. Charles rented a bike for 4 hours and was charged $22. Let x represent the
number of hours and y represent the total cost of the rental.
Use the key information above to find an equation that
represents this rental costs at the bike company. How much
would it cost someone to rent the same bike, with the same
fees, for 6 hours?
O $26
O $28
O $30
O $24

Answers

Since chad was charged 1 dollars for each hour for 6 hours, we can represent this as 1 x 6. Now subtract 6 dollars from the bill for the hours and it leaves the initial fee of $4 for rental.

Now check your work:

(1 x 6) + 4 = 10

Answer:

They would pay $28.

Step-by-step explanation:

4 x 3 = 12, 22-12= 10. $10 is initial fee.

6 x 3 = 18, 18+10= 28. $28 for 6 hours

From a point 114 m away from a building, Serena measures the angle between the
ground and the top of a building and finds it measures 43°. What is the height of the
building? Round to the nearest meter.

Answers

Answer:

4900

Step-by-step explanation:

so what you're going to do first is you're going to do 114* 43 which equals 4902 then you round that and you're going to have 4900I am not a hundred percent sure

Determine the value of y, if x is 4.
PLEASE HELP

Answers

So we substitute x into 4 and we'll
complete the solution
Y=11
The absolute value of 4 is 4, so then you just add 4 and 7 to get 11

Evaluate the expression
27²
⁻⁻⁻⁻
27^4/3

Answers

Answer:

The answer is 9

Step-by-step explanation:

27^2 =729

729/27^4/3

PLEASE HELP 16 POINTS is math

Answers

1) 5
2) -5
3) 4
4) -11
5) 1.5
6) 50
I think it was a trick question since it has an expression at the end that you use to figure out for y using x

Solve the equation for x:
2(8x – 16) = 48

Answers

16x-32=48 /+32
16x=80/:16
X=5

Answer:

The answer would be 5

Step-by-step explanation: Plz mark brianliest

A car ride is drawn on a coordinate plane so that the first card is located at the point by (5,10) what are the coordinates of the first car after a rotation of 270° about the origin

Answers

Answer:

There are two possible solutions:

Clockwise rotation

[tex]P'(x,y) = (-10,5)[/tex]

Counterclockwise rotation

[tex]P'(x,y) = (10, -5)[/tex]

Step-by-step explanation:

There are two possible answers: (i) Clockwise rotation, (ii) Counterclockwise rotation. Vectorially speaking, rotation of point of rotation of a point about another point of reference is defined by:

[tex]P'(x,y) = O(x,y) + r_{OP}\cdot (\cos (\theta_{OP}\pm \theta'),\sin (\theta_{OP}\pm \theta'))[/tex] (1)

Where:

[tex]O(x,y)[/tex] - Point of reference.

[tex]r_{OP}[/tex] - Length of the segment OP.

[tex]\theta_{OP}[/tex] - Direction of segment OP, measured in sexagesimal degrees.

[tex]\theta '[/tex] - Angle of rotation, measured in sexagesimal degrees.

Please notice that clockiwise rotation occurs when [tex]\theta = \theta_{OP}-\theta'[/tex] and counterclockwise rotation when [tex]\theta = \theta_{OP}+\theta'[/tex]. In addition, we define length and direction of the segment below:

[tex]r_{OP} = \sqrt{(x_{P}-x_{O})^{2}+(y_{P}-y_{O})^{2}}[/tex] (1)

[tex]\theta_{OP} = \tan^{-1} \frac{y_{P}-y_{O}}{x_{P}-x_{O}}[/tex]

If we know that [tex]x_{O} = y_{O} = 0[/tex], [tex]x_{P} = 5[/tex], [tex]y_{P} = 10[/tex] and [tex]\theta' = 270^{\circ}[/tex], then the coordinates of the first car after rotation is:

[tex]r_{OP} = \sqrt{(5-0)^{2}+(10-0)^{2}}[/tex]

[tex]r_{OP} \approx 11.180[/tex]

Please notice that original point is located at first quadrant of the Cartesian plane centered at origin, then the direction of the segment OP is:

[tex]\theta_{OP} = \tan^{-1} \frac{10-0}{5-0}[/tex]

[tex]\theta_{OP} \approx 63.435^{\circ}[/tex]

The two solutions are finally presented:

Clockwise rotation

[tex]P'(x,y) = (0,0) + 11.180\cdot (\cos (-206.565^{\circ}),\sin (-206.565^{\circ}))[/tex]

[tex]P'(x,y) = (-10,5)[/tex]

Counterclockwise rotation

[tex]P'(x,y) = (0,0) + 11.180\cdot (\cos (333.435^{\circ}),\sin (333.435^{\circ}))[/tex]

[tex]P'(x,y) = (10, -5)[/tex]

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