Consider the sequence 20, 14, 8, 2, -4, ....
(a) Write a recursive rule to represent the sequence.
(b) Write an explicit rule to represent the sequence.
(c) Find the 30th term in the sequence.
The BEST answer gets brainliest!! Hurry now!

Answers

Answer 1

[tex](a)\quad a_{n+1}=a_n-6\\\\(b)\quad a_1=20,\ d=2-8=-6\implies a_n=20+(-6)(n-1)\\\\{}\qquad a_n=-6n+26\\\\(c)\quad a_{30}=-6\cdot30+26 = -154[/tex]


Related Questions

Mr. Crawford put $4500 into bank at an interest rate of 3%. How much money will she have in the back after 5 years?


Explain please. Brainlist if correct.

Answers

Answer:

He will have $5175.

Step-by-step explanation:

3% of 4500 is 135. 135x5=675. Add 675 to 4500 which equals 5175.

Find the maximum walking speed of a coyote with legs 0.46 m long. How much faster can a giraffe walk than a coyote?

Answers

Answer:

7.03 ft/s

Step-by-step explanation:

To obtain speed using the model :

Speed = sqrt(gL)

L = Length of leg, g = acceleration due to gravity

Length of leg of a giraffe = 6.03

g = 9.8 m/s or 32 ft/s²

Speed of giraffe in ft/s = sqrt(32 * 6.03) = 13.89 ft/ s

Speed of coyote ; L = 0.46 m

L in feets = 0.46 * 3.23 = 1.4858 feets

s = sqrt(1.4858 * 32) = 6.895 ft/s = 6.86 ft/s

Difference in speed :

13.89 - 6.86 = 7.03 ft/s

Giraffe has 7.03ft/s more speed Than a coyote

Jordana is putting a fence around a garden that is shaped like a half circle and a rectangle.

A rectangle with length 28 feet and width 14 feet. A semicircle with diameter 14 feet is on top of the rectangle.

How much fencing will Jordana need? Use StartFraction 22 over 7 EndFraction for Pi.
64 ft
86 ft
92 ft
114 ft
Mark this and return

Answers

Answer:

92

Step-by-step explanation:

I'll give you brainiest if you help me.

Answers

Answer:

88 degrees.

Step-by-step explanation:

Since AB is equal to BC, ABC is an isosceles triangle. Therefore, the angle of B will be 180-39-39=102 degrees. As the angle of a straight line is 180 degrees, take 180-102-32=46 degrees. This 46 degrees is angle B. Since DEB is an isosceles triangle, 180-46-46=88 degrees. 88 degrees is angle E which is your answer. Edit: (Just added on the explanation.)

A rectangular prism has a length of 2 feet a height of 18 feet and a width of 20 feet What is its volume, in cubic feet

Answers

Answer:

720 ft³

Step-by-step explanation:

volume is  length × width× height

2×20×18 = 720

What are the coordinates of the point on the directed line segment from (−1,−8) to (5,−2) that partitions the segment into a ratio of 1 to 2?
I need help quick

Answers

Answer:

There are two possible options: [tex]P(x,y) = (1, -6)[/tex] or [tex]P(x,y) = (3, -4)[/tex].

Step-by-step explanation:

There are two possible options depending on what the point of origin is. Vectorially speaking, we can determine the coordinates of the point that partitions the segment is described below:

[tex]P(x,y) = A(x,y) + r\cdot [B(x,y) - A(x,y)][/tex] (1)

Where:

[tex]A(x,y)[/tex] -  Point of origin.

[tex]B(x,y)[/tex] - Point of destination.

[tex]r[/tex] - Partition factor.

Option 1: [tex]A(x,y) = (-1, -8)[/tex], [tex]B(x,y) = (5, -2)[/tex], [tex]r = \frac{1}{3}[/tex]

[tex]P(x,y) = (-1, - 8) + \frac{1}{3}\cdot [(5,-2)-(-1,-8)][/tex]

[tex]P(x,y) = (-1, -8) + \frac{1}{3}\cdot (6,6)[/tex]

[tex]P(x,y) = (-1,-8) + (2,2)[/tex]

[tex]P(x,y) = (1, -6)[/tex]

Option 2: [tex]A(x,y) = (5,-2)[/tex], [tex]B(x,y) = (-1,-8)[/tex], [tex]r = \frac{1}{3}[/tex]

[tex]P(x,y) = (5,-2) + \frac{1}{3}\cdot [(-1,-8)-(5,-2)][/tex]

[tex]P(x,y) = (5,-2) +\frac{1}{3}\cdot (-6,-6)[/tex]

[tex]P(x,y) = (5,-2) +(-2,-2)[/tex]

[tex]P(x,y) = (3, -4)[/tex]

There are two possible options: [tex]P(x,y) = (1, -6)[/tex] or [tex]P(x,y) = (3, -4)[/tex].

Choose the expression that represents a quadratic expression.
A.) 6x4 − 5x3 + 3x2 −7x − 8
B.) 5x3 + 3x2 −7x − 8
C.) 2x2 + 3x − 1
D.) 3x − 1

Answers

Answer:

C. 2x^2 + 3x - 1

is the answer

The figure below is a net for a right rectangular prism.
7 m
8 m
7 m
14 m
7 m
7 m
What is the surface area of the right rectangular prism, in
square meters?

Answers

The surface area of the right rectangular prism has a length of 7 m, a width of 8 m, and a height of 14 m, is 532 square meters.

What is a rectangular prism?

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

The figure below is a net for a right rectangular prism.

Then the surface area of the rectangular prism will be

Surface area = 2(LW + WH + HL)

Surface area = 2(7 × 8 + 8 × 14 + 14 × 7)

Surface area = 2(56 + 112 + 98)

Surface area = 2 × 266

Surface area = 532 square meters

More about the rectangular prism link is given below.

https://brainly.com/question/12649592

#SPJ1

A rectangle has an area of 30 square meters and a perimeter of 34 meters. What are the dimensions of the rectangle.

Answers

Answer:

15m times 2m

Step-by-step explanation:

What are the solutions to the equation 3^2 + 6 − 31 = −7? & Explain how you determined your answer

Answers

Answer:

The left side

16

does not equal to the right side

7

, which means that the given statement is false.

False

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

9+6-31=-7 -16=-7

Pls help me on this what is the correct answer

Answers

Answer:

C 61,705

Step-by-step explanation:

10.9% of 35,000 = 3,815

3,815 x 7 = 26,705  (interest is added per year and 3,815 is the interest amount)

35,000 + 26,705 = 61,705 ( the original loan plus the interest for 7 years)

Which of these quadrilaterals are rectangles?
Quadrilateral
Rectangle/Not rectangle
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TUT
D
>
Co
MY
Со

Answers

Answer:

a square can be a rectangle so I would think that the first and second option would be rectangles.

Step-by-step explanation:

I hope this helped sorry if not

I need with this and please show workkk

Answers

Answer:

1. ∠1 = 120°

2. ∠2 = 60°

3. ∠3 = 60°

4. ∠4 = 60°

5. ∠5 = 75°

6. ∠6 = 45°

Step-by-step explanation:

From the diagram, we have;

1. ∠1 and the 120° angle are corresponding angles

Corresponding angles are equal, therefore;

∠1 = 120°

2. ∠2 and the 120° angle are angles on a straight line, therefore they are supplementary angles such that we have;

∠2 + 120° = 180°

∠2 = 180° - 120° = 60°

∠2 = 60°

3. Angle ∠3 and ∠2 are vertically opposite angles

Vertically opposite angles are equal, therefore, we get;

∠3 = ∠2 = 60°

∠3 = 60°

4. Angle ∠1 and angle ∠4 an=re supplementary angles, therefore, we get;

∠1 + ∠4 = 180°

∠4 = 180° - ∠1

We have, ∠1 = 120°

∴ ∠4 = 180° - 120° = 60°

∠4 = 60°

5. let the 'x' and 'y' represent the two angles opposite angles to ∠5 and ∠6

Given that the two angles opposite angles to ∠5 and ∠6 are equal, we have;

x = y

The two angles opposite angles to ∠5 and ∠6 and the given right angle are same side interior angles and are therefore supplementary angles

∴ x + y + 90° = 180°

From x = y, we get;

y + y + 90° = 180°

2·y = 180° - 90° = 90°

y = 90°/2 = 45°

y = 45°

Therefore, we have;

∠4 + ∠5 + y = 180° (Angle sum property of a triangle)

∴ ∠5 = 180 - ∠4 - y

∠5 = 180° - 60° - 45° = 75°

∠5 = 75°

6. ∠6 and y are alternate angles, therefore;

∠6 = y = 45°

∠6 = 45°.

Emerson has some yellow stickers and some green stickers. She
has 30 green stickers and the ratio of vellow stickers to green
stickers is 2.5. How many yellow stickers does Emerson have?

Answers

answer:

12

explanation:


the ratio is 2:5 so we know that for every 5 green stickers, Emerson has 2 yellow stickers.

So, we know that 5 goes into 30 6 times so all you have to do is 6 x 2 = 12

what is the value of x in this equation??
50+30x=250+10x

Answers

Answer:

x = 10

Step-by-step explanation:

I need help quick plsss??

Answers

Answer:

-4.515

Step-by-step explanation:

Simplify the following expression

Answers

Answer:

D

Step-by-step explanation:

i am sure 10000% and plz if it is correct can u give me beainlst

Which one because it hard am going to keep telling questions

Answers

Answer:

56

Step-by-step explanation:

Please help! If you do you will get 'Brainliest'

Answers

Answer:

A) 5/7

Step-by-step explanation:

Equation:

-0.7n = -0.5

n = 5/7

What is the slope and y - intercept of the function y = 2x + 1?

Answers

Answer:

Slope: 2/1 Y-Intercept: 1

Step-by-step explanation:

please help!!
factor the quadratic by using the box

Answers

Answer:

thus therefore thy answer musnt be 6 thus forth -3

PLEASE ANSWER FAST I NEED THIS! Fire in inches of 10 senior boys are 64, 65, 66, 68, 71, 72, 73, 73, 73, and 74. find the mean of the heights.

Answers

Answer:

632.4

Step-by-step explanation:

You have to add all the numbers then dived it by ten. Hope this helps all mark me brainlest plzzzz

solve for x
enter the solutions least to greatest
-x^2 -8=-33

Answers

Hello, the answer is 27478 also that is not correct I just need to get the points to ask

Answer:

[tex] \bf \huge ± 5 [/tex]

Step-by-step explanation:

Given :

- x^ 2 - 8 = - 33

to find :

find ''x''

explanation :

⟼ - x^ 2 - 8 = - 33

step 1 : add 8 to both sides

⟼ − x² − 8 + 8 = − 33 + 8

⟼ - x² = - 25

step 2 : Divide both sides by -1

⟼ - x² / - 1 = - 25 / - 1

⟼ x² = 25

step 3 : take square root

⟼ x² = 25

⟼ x = ± √25

⟼ x = ± 5

x = ± 5.

find the Missing angle

Answers

Answer:

50

Step-by-step explanation:

70+60 =130

180-130 = 50 degrees

Answer: 50

Step-by-step explanation: Every triangle is 180 degrees so add the 60 and the 70 to get 130. 180-130=50. So 50 is your answer.

hiii please help i’ll give brainliest:)

Answers

Im guessing A. But I would be wrong.

Answer:

I would choose A

Step-by-step explanation:

Find the volume of the cone show all your work .

Answers

Answer:

hope this helps you out good luck

Find the solution of 64 = 16u algebraically.
please I’m desperate

Answers

Answer:

u = 4

Step-by-step explanation:

Divide by 16 on both sides. [Division Property of Equality]

64/16 = 16u/16

u = 4

==================================================================Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

     -Aadi x

Help!!!!! Please
!!!!;!;!!;!!;

Answers

Answer:

Step-by-step explanation:

(b)

The triangular prism shown below is 6 \,\text{cm}6cm6, start text, c, m, end text wide and 4\,\text{cm}4cm4, start text, c, m, end text deep. The vertical height is 7\,\text{cm}7cm7, start text, c, m, end text. What is the length of the side edge, sss, of the triangular prism?

Answers

Answer:

The answer is "7.62 cm ".

Step-by-step explanation:

Given:

[tex]Width = 6\ cm \\\\Depth = 4 \ cm\\\\Vertical \ height = 7 \ cm\\\\[/tex]

Dividing the prism's face into two halves:

As just a result, the vertical height becomes 7cm, as well as the width, becomes [tex]\frac{6\ cm}{2} = 3 \ cm[/tex]. If the 's' on both sides of the edge is equal:

[tex]s^2 = width^2 + height^2\\\\[/tex]

   [tex]= \sqrt{(width^2 + height^2)}\\\\[/tex]  

   [tex]= \sqrt{(3^2 + 7^2)}\\\\= \sqrt{9 + 49}\\\\= \sqrt{58}\\\\= 7.62 \ cm[/tex]

A triangular pyramid has a volume of 48 in3. The base edge is 9 in and the base height is 4 in. Find the height of the pyramid.

Answers

Answer:

8 in

Step-by-step explanation:

First of all we have to find the area of the base triangle.

For do this we can use this formula:

A = (base edge x base height)/2

A = (9 x 4)/2 = 18 in^2

The formula for find the volume of a pyramid is:

V= Base area x height)/3

So the height can be find in this way

3 x  V = base area x height

height = (3 x V)/base area

height = (3 x 48)/18 = 8 in

Answer:

pretty sure it is 8in I think

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