Use the given information below to find the first 6 terms of a sequence. *
Captionless Image
1. -7, -19, -43, -91, -187, -379,...
2. -1, -7, -19, -43, -91, -187,...
3. -1, -6, -11, -16, -21,...
4, -6, -11, -16, -21, -26,...

Use The Given Information Below To Find The First 6 Terms Of A Sequence. *Captionless Image1. -7, -19,

Answers

Answer 1

Answer:

2. -1, -7, -19, -43, -91, -187,...

Step-by-step explanation:

[tex] \purple{ \bold{a_1 = - 1}}...(given) \\ a_n = 2a_{n - 1} - 5 \\ a_2 = 2a_{1} - 5 = 2( - 1) - 5 = - 2 - 5 = \\ \purple{ \bold{a_2 = - 7}} \\ \\ a_3 = 2a_{2} - 5 = 2( - 7) - 5 = - 14 - 5 \\ \purple{ \bold{a_3 = - 19}} \\ \\ a_4 = 2a_{3} - 5 = 2( - 19) - 5 = - 38 - 5 \\ \purple{ \bold{a_4 = - 43}}\\ \\ a_5 = 2a_{4} - 5 = 2( - 43) - 5 = - 86 - 5 \\ \purple{ \bold{ a_5 = - 91}}\\ \\ a_6 = 2a_{5} - 5 = 2( - 91) - 5 = - 182- 5 \\ \purple{ \bold{a_6 = - 187}}\\ [/tex]

Hence, first six terms of the given sequence are -1, -7, -19, -43, -91, -187,...


Related Questions

Circle $A$ has a diameter of 12 inches and circle $B$ has a diameter of 22 inches. What is the ratio of the area of circle $A$ to the area of circle $B$? Express your answer as a common fraction.

Answers

Answer:

36/121

Step-by-step explanation:

The other person is wrong, don't listen to him. I have done this problem before.

Which of the following describe the growth rate of the exponential function in the graph below?

Answers

Answer:

B)

Step-by-step explanation:

Let's check each answer:

A is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,5) instead

B is correct. The y-coordinate gets multiplied by 3 each time (0,1)->(1,1*3)->(2,3*3)->(4,3*3*3)

C is incorrect. If that were the case, (1,3) to (2,9) would be (1,3) to (2,7) instead.

D is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,4) instead.

Therefore, the correct answer is B.

Answer:

Its B :)

Step-by-step explanation:

I j took the unit quiz lol

Please answer.....................................

Answers

Answer:

1.25 + r = 4

1.25 - 1.25 + r = 4 - 1.25

r = 2.75

first option is the answer

Step-by-step explanation:

1. subtract 1.25 from both sides

What would be the value of x in x+5=-3x-9

Answers

-3 because it shows the value right there

Answer  -3

Step-by-step explanation:

Rhonda used unit cubes to make a rectangular prism. What is the volume of the prism? Prism with length as 7 unit cubes, height as 3 unit cubes and width as 2 unit cubes. A. 14 cubic units B. 21 cubic units C. 42 cubic units D. 63 cubic units

Answers

Answer:

42 cubic units

Step-by-step explanation:

A rectangle prism formula is V = l x h x w.

The length is 7

The height is 3

The width is 2

Then multiply 7, 3, and 2 together (7 x 3 x 2) = 42

The volume of the Rhonda rectangular prism will be 42 cubic units thus option (C) is correct.

What is volume?

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the rectangular prism is given as,

V = length × height × width

Put length as 7 unit cubes, height as 3 unit cubes, and width as 2 unit cubes.

V = 7 x 3 x 2 = 42 units³.

Hence "The Rhonda rectangular prism will have a volume of 42 cubic units".

To learn more about volume,

https://brainly.com/question/1578538

#SPJ5

pls help asappp you will get brainliest

Answers

Answer:

32 units.

Step-by-step explanation:

look up a picture of a 306090 triangle, it will make sense :)

Answer:

32

Step-by-step explanation:

cos 30 = [tex]\frac{\sqrt{3} }{2}[/tex]

[tex]\frac{\sqrt{3} }{2}[/tex] = 16[tex]\sqrt{3}[/tex] / n

n = 16[tex]\sqrt{3}[/tex] * [tex]\frac{2}\sqrt{3} }[/tex]

n = 32 units

One side of a rectangle is 7 inches long. Another side of the rectangle is 19 inches long. What are the lengths of the other 2 sides of the rectangle?

Answers

Answer:

7 and 19 its a rectangle so it has 2 congruent sides

Step-by-step explanation:

How do you remove all perfect squares from inside the square root - 108

Answers

Answer:

6dquare 2

Step-by-step explanation:

The square root of 108 in radical form is 6√(3). In general, to find √(a) in radical form, when a is not a perfect square, we use the.

Idk what it is plz help me

Answers

Answer:

1) Starting height is 6.25

2) after 20 years it would be 30

1.25(20)=25+5=30

3) 76 years

Answer:

a) 5 feet

b) 30 feet

c) 76 years

Step-by-step explanation:

a) 5 feet. If t is 0, it'll still be 5 feet

b) 30 feet

1.25*20+5=

25+5=

30

c) 76 years

100 = 1.25t+5

1.25t=95

t=76

I need help with this, I don't understand how to do this.

Answers

Simple..A cyrcle first of all is a 360 degree angle...as a result

X=360-115-105-60

X=80 degrees

Pleaaaase hellp me will mark u brainly for both answers!!!
Thank u if u do really appreciate it.

Answers

Answer:

1. Option A is correct (A = length x width)

2. Option B is correct ( A = base x height/2)

Hope this helps

:)

Which of the following values is a solution to the inequality? 12 – 5x > -8

Answers

Answer:

x < 4

Step-by-step explanation:

12 – 5x > -8

Subtract 12 from each side

12-12 – 5x > -8-12

-5x> -20

Divide each side by -5, remembering to flip the inequality

-5x/-5 < -20/-5

x < 4

what is 2/3 ÷ 4/5 = ?

Answers

Answer:

this is the answer:5/6.

Answer:

= 5/6

Step-by-step explanation:

2/6 ÷ 4/5

= 2/6 × 5/4

= 10/24

= 5/6

what is the amount paid or charged for something.

Answers

Answer:

cost

Step-by-step explanation:

Answer:

It is the cost

Step-by-step explanation:

There are 197 oak trees in the park. There are 27 more pine trees than oak trees in the park how many trees are there in all

Answers

just add.................

197 + 27 = 224

hope this helps

Yeah.. the answer is 224

does anyone know the answer to this ?please

Answers

Answer:B

Step-by-step explanation:

What are the solutions of the quadratic equation? x^2-9x+18=0

Answers

Answer:

x=6   x=3

Step-by-step explanation:

x^2-9x+18=0

Factor

What 2 numbers multiply to 18 and add to -9

-6*-3 = 18

-6-3 = -9

(x-6) (x-3) =0

Using the zero product property

x-6 =0  x-3 =0

x=6   x=3

Someone be a homie cause I’m really tryin on this math shi thank youuuu

Answers

Answer:

The area of the shaded region is equal to difference of the sector contains that shaded region and the triangle.

The area of sector:

A_S = pi x radius^2 x 123/360

       = pi x 18.6^2 x 123/360

       = 371.346 (m2)

The area of triangle:

A_T = base x height x (1/2)

       = (18.6 x sin(123/2) x 2) x (18.6 x cos(123/2)) x (1/2)

       = 145.073 (m2)

=> Area of shaded region:

A = 371.346 - 145.073 = 226.273 = ~226.3 (m2)

Hope this helps!

:)

Answer:

First give me points and make me winner, then we can discuss the answer.

Step-by-step explanation:

A rectangular playground is 10m longer than it is wide.The area of the playground is 1400m² Calculate the width and length of the playground. solve using quadratic formula please?

Answers

Answer:

[tex] 1400 = x(x+10)= x^2 +10x[/tex]

We can rewrite this expression like this:

[tex] x^2 +10 x -1400 =0[/tex]

And we can use the quadratic formula given by:

[tex] x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

Where [tex] a =1 , b=10 , c= -1400[/tex]

And replacing we got:

[tex] x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}[/tex]

And solving we got:

[tex] x_1 =32.75 , x_2 = -42.75[/tex]

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75

Step-by-step explanation:

For this case we know that we have a rectangular playground and the area can be founded with this formula:

[tex] A = xy[/tex]

Where x represent the width and y the length. From the problem we know that A =1400 m^2 and the heigth is 10m longer than the wide so we can write this condition as:

[tex] y = 10 +x [/tex]

And replacing this formula into the area we got:

[tex] 1400 = x(x+10)= x^2 +10x[/tex]

We can rewrite this expression like this:

[tex] x^2 +10 x -1400 =0[/tex]

And we can use the quadratic formula given by:

[tex] x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

Where [tex] a =1 , b=10 , c= -1400[/tex]

And replacing we got:

[tex] x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}[/tex]

And solving we got:

[tex] x_1 =32.75 , x_2 = -42.75[/tex]

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75

Answer:

Step-by-step explanation:

Given Data:

Area = 1400m²

L = 4+w

W= w

Area = L * W

1400 = ( 4+W) W ²

1400 = 4w + w ²

w ² + 4w - 1400 = 0

- b ± √ b ² - 4ac / 2a

Where;

a = 1

b = 4

c = -1400

- 4 ± √4² - 4(1)(-1400) / 2(1)

= - 4 ± 74.94 /2

= - 4 + 74.94 / 2 or - 4 - 74.94 / 2

= 35.47 or - 39.47

Would a piece of wood with a mass of 48 grams and a volume of 47.4 cm^3 float in water?

Answers

The piece of wood would sink.

Given that water has a density of 1 g/cm^3 the piece of wood would have to be lower than such density. A bigger density would then mean said object would sink.

To find the density of the piece of wood you need to know the density formula which is d= m/v, m being mass and v being volume. With the givens of mass and volume you just need to plug your values in to get 48/47.4=d. Dividing would then equate to about 1.02, which exceeds the density of water, therefore sinking.

An easy way to find the answer to this is if you see that the volume is greater than the mass then it will float, if less then it will sink. If they are the same number then you can suggest that it depends on the water’s buoyancy.

The piece of wood would sink if a piece of wood with a mass of 48 grams and a volume of 47.4 cubic cm, and a density is 1 g/cm³.

What is density?

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.

We have:

Mass of the piece of wood = 48 grams

The volume of the piece of wood = 47.4 cubic cm

As we know, from the definition of density, density is the mass-to-volume ratio.

d = mass/volume

d = 48/47.4

d = 1.01 g/cm³ ≈ 1 g/cm³

As we know,

It will float if the volume is larger than the mass and sink if the reverse is true.

Thus, the piece of wood would sink if a piece of wood with a mass of 48 grams and a volume of 47.4 cubic cm, and a density is 1 g/cm³.

Learn more about the density here:

brainly.com/question/952755

#SPJ5

Use a proportion to convert 32 fluid ounces to cups. [Hint: Use the conversion factor 8 fl oz = 1 c.]

Answers

Answer:

4 cups

Step-by-step explanation:

in order to convert 32 ounces into cups, you must divide 32 by 8. this will give you 4, your answer.

If this helps, please mark me brainliest. :)

Answer:

4 cups

Step-by-step explanation:

32/x = 8/1

8x = 32

x = 4

If I have a package deal if $80 what is the shipping price? PLEASE HELP

Answers

17 dollar and 54 cents

can anyone write me the steps of how to graph y=(x-9)^, please?

Answers

Answer:

first step is to put the (x-9)^2 into a standard form which is y=x^2−18x+81 then choose two integers larger than the x-value of the vertex point.next choose two integers smaller than the x-value of the vertex point. lastly substitute these values in place of "x" in the equation and solve for "y".

Step-by-step explanation:

x | y

7 | 4

8 | 1

9 | 0

10 | 1

11 | 4

4=(11-9)^2

1=(10-9)^2

0=(9-9)^2

1=(8-9)^2

4=(7-9)^2

someone plz help it looks easy but I dont understand

Answers

Answer:

Step-by-step explanation:

(√8)²=8,2²+2²=8

√8→2 units,2 units

(√7)²=7,(√5)²+(√2)²=5+2=7

√7→√5 units,√2 units

(√5)²=5,2²+1²=5

√5→2 units ,1 unit

3²=9,2²+(√5)²=9

3→2 units,√5 units.

what are the first 100 hundred digits of pi?

Answers

Answer: first 1000 digest

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989

Step-by-step explanation:

Answer:

you aren't ready for this!!!!

Step-by-step explanation:

And now

AsapSCIENCE presents-

100 digits of π

3.14159, this is π

Followed by 2-6-5-3-5-8-9

Circumference over diameter

7-9, then 3-2-3

OMG! Can't you see?

8-4-6-2-6-4-3

And now we're on a spree

38 and 32, now we're blue

Oh, who knew?

7, 950 and then a two

88 and 41, so much fun

Now a run

9-7-1-6-9-3-9-9

Then 3-7, 51

Half way done!

0-5-8, now don't be late

2-0-9, where's the wine?

7-4, it's on the floor

Then 9-4-4-5-9

2-3-0, we gotta go

7-8, we can't wait

1-6-4-0-6-2-8

We're almost near the end, keep going

62, we're getting through

0-8-9-9, on time

8-6-2-8-0-3-4

There's only a few more!

8-2, then 5-3

42, 11, 7-0 and 67

We're done! Was that fun?

Learning random digits

So that you can brag to your friends

what is a measure of an angle between the perpendicular
bisectors of two adjacent sides of a regular polygon 3
Sides ?​

Answers

Answer:

2/5*180=72

360/72=5

as simple as that you just need to read on polygons

Step-by-step explanation:

pls give me brainlyist

Solve the long division

Answers

Answer:

1. 158

2. 120.125

3. 148.6

4. 158.6

Step-by-step explanation:

You divide the number inside by the number outside

Write in point-slope form an equation of the line that passes through the point
(3,−5) with slope -4

Answers

A horizontal line through y=−53. Explanation: Write the equation in the form y=mx+c because then we can read off the slope and the y-intercept ...

Answer:

Step-by-step explanation:

Create an algebraic expression with at least 2 variables, 2 different operations and a constant.

Choose values for all your variables but you must include at least one fraction or decimal number.


Lastly, Evaluate your expression showing all steps.

Answers

Answer:

let's choose

5x+3x-7y+2x-16y+3+-5y

1) give values to our variables:

x=3

y=4

so

5(3)+3(3)-7(4)+2(3)-16(4)+3-5(4)

15+9-28+6-64+3-20

1) first take this step-by-step and solve each term from left-right

15+9=24

24-28=-4

-4+6=2

2-64=-62

-62+3=-59

-59-20=-79

-79 is the answer

Zugo delivers muffins for the Pastry-and-Muffin company. Each muffin is packed in its own
little box. An individual muffin box has the shape of a cube, measuring three inches on
each side. Zugo packs the individual muffin boxes into a larger box. The larger box is also
in the shape of a cube, measuring two feet on each side. How many of the individual
muffin boxes can fit into the larger box?

Answers

Answer:

  512

Step-by-step explanation:

You can figure this a couple of ways.

1) Figure the number of muffin boxes that goes into each dimension of the larger box:

  (2 ft)/(3 in) = (24 in)/(3 in) = 8 . . . . muffin boxes in each direction.

Then the total number of muffin boxes that will fit in a larger box is ...

  8×8×8 = 512

512 muffin boxes can fit into the larger box.

__

2) The volume of a muffin box in cubic feet is ...

  ((3 in)/(12 in/ft))^3 = (1/4 ft)^3 = 1/64 ft^3

The volume of a larger box in cubic feet is ...

  (2 ft)^3 = 8 ft^3

Then the number of smaller boxes that will fit in the larger box is ...

  (8 ft^3)/(1/64 ft^3) = 8×64 = 512

512 muffin boxes can fit into the larger box.

Other Questions
3. Legends are oftenso that they are relevant in popular culture.a. Oalteredb.adaptedc.updatedd.all of the above Rhianna has a spinner, which is divided into four equal parts. The parts are numbered 1, 2, 3, and 4. If Rhianna spins the spinner and tosses a coin, which table shows all the possible outcomes?A 5-column table with 2 rows. Column 1 has entries H, H. Column 2 is labeled 1 with entries H 1, H 1. Column 3 is labeled 2 with entries H 2, H 2. Column 4 is labeled 3 with entries H 3, H 3. Column 5 is labeled 4 with entries H 4, H 4.A 5-column table with 2 rows. Column 1 has entries T, T. Column 2 is labeled 1 with entries T 1, T 1. Column 3 is labeled 2 with entries T 2, T 2. Column 4 is labeled 3 with entries T 3, T 3. Column 5 is labeled 4 with entries T 4, T 4.A 5-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, H 1. Column 3 is labeled 2 with entries T 2, T 2. Column 4 is labeled 3 with entries H 3, H 3. Column 5 is labeled 4 with entries T 4, T 4.A 5-column table with 2 rows. Column 1 has entries T, H. Column 2 is labeled 1 with entries T 1, H 1. Column 3 is labeled 2 with entries T 2, H 2. Column 4 is labeled 3 with entries T 3, H 3. Column 5 is labeled 4 with entries T 4, H 4. In the figure below, APE and EPD are congruent.What is the arc measure of BAD on circle P in degrees? Ms. Sanders put $5,200 in a savings account that pays 4.2% simple interest. Each year she withdraws the interest and treats herself to a visit to a spa. How much can she spend each year? What is the slope of a line PARALLEL to the graph?b. 0C. 3d.312-206D A professor's son, having made the wise decision to drop out of college, has been finding his way in life taking one job or another, leaving when his creativity is overly stifled or the employer tires of his creativity. The professor dutifully logs the duration of his son's last few careers and has determined that the average duration is normally distributed with a mean of sixty-six weeks and a standard deviation of ten weeks. The next career begins on Monday; what is the likelihood that it endures for less than a year and a half? 9/4 - 4/3 plz help me In some industries, competitive dynamics eventually drive long-run projections of the future returns earned by the firm to an equilibrium level equal to the long-run expected cost of equity capital in the firm. At that point, a firm can be expected to earn ____________ residual income in the future. increasing. zero. decreasing. There is not enough information to answer this question. YOU WILL GET BRAINLIEST!! What could help a country move from Stage 1 to Stage 2 of the demographictransition?- Instituting population restrictions-increased immigration-The diffusion of contraceptives-better sanitation-Improving education for women Consider a market where the demand and supply for the good are described by the following equations: begin mathsize 14px style straight Q subscript straight D space equals space 225 space minus space 3 straight P end style and begin mathsize 14px style straight Q subscript straight S space equals space minus space 22.5 space plus space 1.5 straight P end style.If the government implements a price ceiling of $45, this will result in aA. surplus of 22.5 units.B. a surplus of 45 units.C. a shortage of 45 units.D. a shortage of 22.5 units. Which is 34,513 closer to, 35,000 or 34,000? A cell phone discarded in the United States can cause a person processing it in China, India, or Africa to suffer negative consequences if it is not handled properly.True Or False Which phrase from paragraph 1 includes loaded words?Friends won't have to askglamorous and sophisticatedOther brandsSliding on a pair of Stylin' Shades There are 8 math classes in 7th grade. Seven are equally sized and the 8th class has 32 students if there are a total of 221 students in the seventh grade how many are in each of the equally sized math classes I need an equation and an answer In studying Galpagos finches, the Grants found that ______ can take place frequently and over relatively short periods of time. For the next five questions, please translate the sentences into English.Putamus te, Caesarem, haec sensisse. Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Part 2.8. = -259. = -390 A central nervous system is also responsible for programming _______ and _______. PLEASE HELP!!!! A states executive branch generally includes (A) department heads.(B) legislators.(C) judges. (D) regular citizens. How do you know whether the government of a given country is democratic or not?