Mathematics High School

Write the first four terms of the sequence defined by an =
2, if n = 1
an-1-3, if n > 1

Answers

Answer 1

The first four terms of the sequence are:

a1 = 2

a2 = 2 - 3 = -1

a3 = -1 - 3 = -4

a4 = -4 - 3 = -7

The sequence defined by the rule an = 2, if n = 1; an-1-3, if n > 1, starts with the first term being 2. For all subsequent terms, the value of the previous term is subtracted by 3. Therefore, the second term of the sequence is -1 (2-3), the third term is -4 (-1-3) and fourth term is -7 (-4-3). This pattern of subtracting 3 from the previous term will continue for all subsequent terms in the sequence. The sequence can be represented by the function an = 2 - 3(n-1) for any natural number n.

To know more about sequence, refer:

https://brainly.com/question/14007557

Related Questions

Four friends go out to lunch together. Mike orders a personal pizza with 2 toppings for $7.00. Dustin orders a personal pizza with 5 toppings for $9.25. Lucas orders a calzone with 1 topping for $5.75. Will orders a calzone with 4 toppings for $8.75. For what number of toppings is the price of a personal pizza the same as a calzone?

Answers

Answer:

Step-by-step explanation:

Four friends go out to lunch together.

For what number of toppings is the price of a personal pizza the same as a calzone?

Let us represent the number of toppings as x

We need to know the price of a personal pizza and the price of a calzone

Mike orders a personal pizza with 2 toppings for $7.00.

2x = $7

x = $7/2

x = $3.50

Dustin orders a personal pizza with 5 toppings for $9.25.

5x = $9.25

x = $9.25/5

x = $1.85

Lucas orders a calzone with 1 topping for $5.75.

x = $5.75

Will orders a calzone with 4 toppings for $8.75.

4x = 8.75

x = 8.75/4

x =2.1875

3x(2ab - b) - 2y(2a - b)
please i need help!!​

Answers

Answer:

6abx-3bx-4ay+2by

Step-by-step explanation:

Answer:

The answer is 6xab - 3xb - 4ya + 2yb

Step-by-step explanation:

Factor the polynomial.

~Hoped this helped~

Circles A, B, and C overlap. x is in the overlap of circles A and B. Which of the following are true about x? Check all that apply. x ∉ A x ∈ B x ∉ C x ∈ A ⋃ B x ∈ A ⋃ C x ∈ A ⋂ B

Answers

9514 1404 393

Answer:

  b, c, d, e, f

Step-by-step explanation:

x ∉ A  . . . . .  not true, x is in A

x ∈ B . . . true

x ∉ C . . . true (x is outside the circle labeled C)

x ∈ A ⋃ B . . . true

x ∈ A ⋃ C . . . true

x ∈ A ⋂ B . . . true (x is in the overlap)

Answer:

A is false, every thing else is correct so b,c,d,e,f is your answer

Step-by-step explanation:

have a good day

The rectangular floor of a classroom is 40 feet in length and 24 feet in width. A scale drawing of the floor has a length of 20 inches. What is the perimeter, in inches, of the floor in the scale drawing?

Answers

Answer:

Perimeter = 64 inches

Step-by-step explanation:

40':20" = 1':1/2"

24' =12"

20+20+12+12 = 64 inches

Please help

The figure

Answers

pentagonal prism

hope it helps you

Answer:

the last one

Step-by-step explanation:

because they are given their names based on their bases

how do you solve 0.4m(40m-20n)

Answers

Answer:

= 16m2o−8mno

Step-by-step explanation:

A one year member ship to your local gym costs $539. there is an initial fee of $35. write an equation tou can use to fund out how much you pay per month ​

Answers

$539 - $35 = $504

$504 : 12 = $42

Per month you pay $42.

If $18\sqrt 8-8\sqrt{18}=\sqrt n, what is n?

Answers

Answer:

288 trust me it is 100% right I tried it as an answer an got it right.

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

From the first two parts of the problem, we have

18√8 - 8√18 = 36√2 - 24√2

                    = (36 - 24)√2

                    = 12√2.

Thus, we wish to solve for n in the equation 12√2 = √n. In other words, we want to know what number 12√2 is the square root of. Any nonnegative number is the square root of its own square, so

n = (12√2)²

  = 12²(√2)²

  = 144 ∙ 2

  = 288.

solve the system of equations
3x-3y=4
-3x+3y=3

Answers

Answer:

x=y+2/3

Step-by-step explanation:

Triangle WXY is similar to triangle RST.
AA.
Which transformations could transform triangle WXY into triangle RST to show that they are similar?
Reflect across line PQ, then dilate with a scale factor greater than 1.
Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.
Rotate 90 degrees counterclockwise about point P, then dilate with a scale factor greater than 1.
Rotate 180 degrees clockwise about point P, then dilate with a scale factor greater than 0 and less than 1.

Answers

Answer:

Reflect across the line PQ, then dilate with a scale factor greater than zero in less than one

Step-by-step explanation:

Answer:

Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.

B

Step-by-step explanation:

Evaluate expression: 3(5g + 5 - 2)

Answers

Answer: 15g + 9

Step-by-step explanation: Have a brilliant day!- Lily ^_^ Plz mark brainliest.

Calculate the simple interest on $ 6400 at 10% p.a. for 9 months.​

Answers

this is the right answer good luck

What is the reciprocal of 3 2/3

Answers

Answer:

the answer is 5

Step-by-step explanation:

Answer:

0.27272727272 is the reciproval of 3 2/3

Question:
What are the solutions to 3x^2 + 12x + 6 = 0?

Hint::
use the quadratic formula

Answers

Answer:

     x₁ = - 2 + √2 ,   x₂ = - 2 - √2

Step-by-step explanation:

[tex]3x^2 + 12x + 6 = 0\\\\a=3\,,\ b=12\,,\ c=6\\\\\\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\ x=\dfrac{-12\pm\sqrt{12^2-4\cdot3\cdot6}}{2\cdot3}=\dfrac{-12\pm\sqrt{144-72}}{2\cdot3}=\dfrac{-12\pm\sqrt{72}}{2\cdot3}=\dfrac{-12\pm6\sqrt{2}}{6}\\\\x_1=\dfrac{6(-2+\sqrt{2})}{6}=-2+\sqrt2\\\\x_2=\dfrac{6(-2-\sqrt{2})}{6}=-2-\sqrt2[/tex]

i dont understand this

Find the slope of the linear function
y=5/4x-9​

Answers

Answer:

[tex]\frac{5}{4} x[/tex]

Step-by-step explanation:

y = mx+ b

m = slope

b = y-intercept

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the straight lines.

The equation of a straight line is given as,

y = mx+c, hence here, m = slope, c = y-intercept..

so, y = 5/4x-9

.m = 5/4

so the slope is 5/4

Cand someone please help me with this assignment!!!

Answers

Answer:

1. 3

2. 4

3. 2

4. 1

5. 1

7. 3

8. 10?

thats all i know because thats my answers hope it helps

To create a model of an artery, a health teacher uses the scale 2.5 cm : 0.75 mm. If the diameter of the artery is 2.7 mm, what is the diameter on the model?



a
9 m
b
90 cm
c
18 cm
d
9 cm

Answers

Answer: 9 cm

Step-by-step explanation:

I took the test

With explanation please help

Answers

Answer:

first you simplify the first part which will be

(15)^2-(18+9)*(6)

225-27*6

225-162

Answer will be 63

I showed my work :)

make m the subject of the formula in 3-mx/2+2y=p/q​

Answers

It means we want to isolate m so...

mx/2+2y=p/q

mx/2=p/q-2y

mx=2p/q-4y

m=(2p/q-4y)/x

Hope this helped if you have any more questions ask it in questions.

Find a slope of each line (each block is one unit):

Answers

Answer:

The slope is -3

Step-by-step explanation:

We have two points

( -1,2) and (1,-4)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -4 -2)/ ( 1 - -1)

   = ( -4-2)/ (1+1)

   = -6/2

   = -3

a deli made $320000 in revenue last year. Due to increased popularity of deli, the owner predicts that revenue will increase by 23% next year. How much revenue does the owner think the deli will generate next year?

Answers

This will be an educated guess but I think the answer would be $565000

What is the area of the triangles? The problems are in the picture below. 15 points and a brainiest.

Answers

Answer:

first: 8 in^2

second: 77 yd^2

third: 225 in^2   (assuming that the larger triangle base =50 in (25 x 2)

Step-by-step explanation:

area = 1/2 x base x height

first:

1/2 x 4 x 4 = 8 in^2

second:

1/2 x 14 x 11 = 77 yd^2

third:

(1/2 x 50 x 18) - ( 1/2 x 18 x 25) = 450 - 225 = 225 in^2

Determine how many lines of symmetry each object has

Answers

i think the answer is zero

I need help on this pleasee​

Answers

Answer:

slope is 6/0 which is undefined

Step-by-step explanation:

Johnny works after school and earns $8 per hour. He needs at least $2000 to purchase a car so he does not need to take the bus. How many hours does he need to work to reach his goal?​

Answers

2hours

Step-by-step explanation:

2 hours

Please do number 3___________________

Answers

9514 1404 393

Answer:

  m∠SVW = 80°

Step-by-step explanation:

3. The sum of same-side interior angles SVW (4x°) and VWT (5x°) is 180°. This can be used to solve for x and to find the angle values.

  4x + 5x = 180

  9x = 180 . . . . . . . . collect terms

  x = 20 . . . . . . . . . . divide by 9

m∠SVW = 4x° = 4(20)°

m∠SVW = 80°

_____

4. Then m∠VWT = 180° -80° = 100° = 5x°.

__

5. Consecutive interior angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)

Please help me, I am unsure how to do this

Answers

Answer:

-1/4

Step-by-step explanation:

Answer: -4 I think

Step by step: The equation for finding a slope is y2 -y1 /X2 - X1 and by x and y it means the coordinates so just pick a random two pair of coordinates and use that equation and if u chose (-1,4) and (1,-4) it will be -4-4/1- -1 which is -4. This works for any 2 coordinates. Sorry if that makes no sense lol

I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?

3 over 7, 2 over 5, 3 over 4, 2 over 9

2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9

Answers

Answer:

2/9 = 0.2 repeating

3/7 = 0.428571 repeating

Step-by-step explanation:

Name the like terms
5a, 3, 4d , 2a, 2a, 5c

Answers

Answer:

"Like terms" are terms whose variables (and their exponents such as the 2 in x2) are the same. In other words, terms that are "like" each other. Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different.

Step-by-step explanation: Hope this helps


Find the highest common factor of 35 and 8C.

Answers

Answer:

Factors of 35 = 1, 5, 7 and 35

Factors of 8= 1, 2, 4, 8.

common = 1

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