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

what does break-even mean in Maths Lit​

Answers

Answer:

Break-even point is where the business is at an activity level (doing business) at which total cost = total sales, i.e. you have made enough income to cover the costs.

Answer:

The break-even point is the point at which total cost and total revenue are equal, i.e. "even". There is no net loss or gain, and one has "broken even"

Step-by-step explanation:

for example you want to run a hat business and it costs 10 dollars to produce each hat and a set price of 5000 dollars for the shop. and you sell each hat for 20 dollars.  You would need to sell x number of hats in order to make what you spent. thats what break-even is. So basically you made back everything you spent and can bein to profit if that makes sense.

The perimeter of a rectangle is 90 feet, and the length is 32 feet. What is the width of the rectangle?
A. 26 feet
B. 13 feet
C. 58 feet
D. 15 feet

Answers

Length is 12ft, width is 4 ft.

2 x (length + width) = perimeter = 32 ft

⇒ length = 16ft - width [1]

length x width = area = 48 sq ft

Using [1] above:

⇒ (16ft - width) x width = 48 sq ft

multiplying out and rearranging:

⇒ width2 - 16 x width + 48 = 0

factorizing:

⇒ (width - 4)x(width - 12) = 0

Thus width = 4 or 12, so using [1] above:

⇒ width = 4ft, length = 16 - 4 = 12ft

or width = 12ft, length = 16 - 12 = 4ft

Convention is that the length is larger than the width, thus rectangle is 12ft long by 4 ft wide.

Answer:

15 ft

Step-by-step explanation:

i hope it right im not very sure :)

Javier estimates the square root of 18 in the following way:
√18=2√9=2*3=6
A: Explain why her reasoning is incorrect.


B: Without using a calculator, the square root of 18 will be between what two values (remember to look for perfect squares/perfect square roots)? Show your reasoning. You do not need to find the decimal equivalent of the root.

Answers

Step-by-step explanation:

√18 = √(2x9) = 3√2. so they pulled the 2 out of the square root incorrectly.

4x4 = 16

5x5 = 25

so √18 is between 4 and 5. closer to 4

Help please thank you:) QUICKLY!!!!!!!!!

Answers

Answer:

y = -8

Step-by-step explanation:

2x2 - 12

4 - 12 = -8

hope this helps

I think -8, but im sorry if it is wrong

A recipe calls for 3 cups of sugar and 9 cups of water. How many cups of water should
be used with 2 cups of sugar?
3 cups
B
8 cups
4 cups
D
6 cups
ANZWER QUICK PlZZ

Answers

Answer:

Step-by-step explanation:

3/9 = 2/w

Cross multiply.

3w = 18

w = 6 cups

Simplify the following question:

Answers

The answer is 26x squared/9 plus 13x minus four.

In ΔNOP, the measure of ∠P=90°, the measure of ∠N=27°, and PN = 50 feet. Find the length of NO to the nearest tenth of a foot.

Answers

Answer:56.1

Step-by-step explanation:

Clicked see solution

Two observers are standing on shore ½ mile apart at points A and B and measure the angle to a sailboat at a point C at the same time. Angle A is 63° and angle B is 56°. Find the distance from each observer to the sailboat. Round to the nearest hundredth of a mile.

Answers

Answer:

Step-by-step explanation:

The length 0.51 miles and 0.47 miles are the distances from each observer to the sailboat.

What is the Sine Rule?

The Law of Sines (also called the Sine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

Triangle is a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry.

As per the given question, the given data  as:

A = 63

B = 56

C = 61 (because these angles should add up to 180)

c = 1/2

We know that the Sine Rule,

sin 63 / a = sin 61 / .5

a = 0.51 miles

sin 56 / b = sin 61 / .5

b = 0.47 miles

Therefore, the length 0.51 miles and 0.47 miles are the distances from each observer to the sailboat.

Learn more about Trigonometric functions here:

brainly.com/question/6904750

#SPJ2

which set of side lengths will form a right triangle 8,15,17
7,24,26
6,8,11
10,24,25

Answers

Let’s try the pythagorean formula.

1) 8^2+15^2=17^2
289=289 Yes

2) 7^2+24^2=26^2
625 ≠ 676 No

3) 6^2+8^2=11^2
100 ≠ 121 No

4) 10^2+24^2=25^2
676 ≠ 625 No

Therefor, 8,15,17 is your answer

how much is a a $479.00 purchase with 7.5% sales tax

Answers

Answer:

$514.93

Step-by-step explanation:

Before Tax Price: $479.00

Sale Tax: 7.50% or $35.93

After Tax Price: $514.93

Remove the brackets using the distributive law for the following: 5(4x - 3y) - 4(4x - 3y)

Answers

Answer:

4x - 3y

Step-by-step explanation:

5(4x - 3y) - 4(4x - 3y)

= 5 × 4x - 5 × 3y - 4 × 4x + 4 × 3y

= 20x - 15y - 16x + 12y

= 20x - 16x - 15y + 12y

= 4x - 3y (Ans)

For her science fair project, Emily
conducted an experiment to investigate
the effects of watering on tomato plants.
She varied the amount of water given to
the plants and measured each plant's
height after two weeks. Emily
hypothesized that the more water she
added, the taller her tomato plants would
be.
1. Was Emily's hypothesis correct? Explain
your answer.
2. According to Emily's data, what is the
optimal weekly amount of water for
tomato plant growth? Explain your answer.

Answers

Answer:1 yes it is correct because the more water you give a plant the helter it is

2 about 2 times a day

Step-by-step explanation:

Lashonda's penny bank is
7/10 full. After she removes 240 pennies, it is 1/2 full. How many pennies can Lashonda's bank hold?

Answers

Loshonda’s bank can hold 480 pennies because when it was half full it was 240 and then you multiply 240 by 2 and you get 480. I don’t know if this is right. i’m sorry if it isn’t :(

The bank requires a minimum of $50 in the savings account.

it does not matter how much money is kept in the checking account

x represents the amount of money in the checking account and y represents the amount of money in the savings account.

what solution to the inequality?

Answers

Answer:

y50

(y is greater than or equal to 50 dollars)

Step-by-step explanation:

We don't need X as the amount in the checking account doesn't matter, so and Y must be equal to or greater than 50, so the answer is y≥50

Neal purchases a digital camera for his
family to use on their vacatlart. The model he
purchases is on sale for $129. The sales tax
rate for his city iş 7.5%.
How much sales tax does Neal pay on the
digital camera?

Answers

Answer:

101.91

Step-by-step explanation:

Which plot correctly displays the data set with maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, and a lower quartile of 32?

Answers

Options :

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 32 to 45. A line divides the box at 36.

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 46, and the box ranges from 32 to 45. A line divides the box at 36.

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 31 to 39. A line divides the box at 36.

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 46, and the box ranges from 31 to 39. A line divides the box at 36.

Answer:

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 32 to 45. A line divides the box at 36.

Step-by-step explanation:

Given the five number summary which are all displayed on a box and whisker plot :

Maximum = 48

Minimum = 27

Median = 36

Upper Quartile = 45

Lower quartile = 32

Maximum and minimum values are displayed by the whiskers :

Starting point of whisker = minimum value

End point of whisker = maximum value

The quartiles are displayed by the box :

Starting point of the box = lower quartile

End point of the box = upper quartile

Line in between the box = Median

-7y-4 = 4y×(8-6)-64 answer fast

Answers

Answer: y=4

Step-by-step explanation:

-7y-4=8y-64

-7y-4+4=8y-64+4

-7y=8y-60

-7y-8y=8y-60-8y

-15y= -60

[tex]\frac{-15y}{-15}[/tex] =[tex]\frac{-60}{-15}[/tex]

y=4

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $700 and the daily rate for each partner is $1700. The law firm assigned 4 more partners than associates to the case and was able to charge the client $21200 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system

Answers

the sun is one hundred and fifty million kilometers away from the earth write this as an ordinary whole number

A swimming pool manager is making a schedule for his lifeguards next Monday. The pool policy states that there must be 2 lifeguards on duty for a pool attendance of up to 20, 3 lifeguards on duty for an attendance of 21-50, 4 lifeguards on duty for an attendance of 51-75, and 5 lifeguards on duty for an attendance of 76-100. Based on last Monday's pool attendance shown in the graph, how many lifeguards should be scheduled at 2:00?

A. 4 lifeguards
B. 5 lifeguards
C. 3 lifeguards
D. 2 lifeguards

Answers

Answer: A.4

Step-by-step explanation:

14.5 divided bye 9 please

Answers

Answer:

1.61111111

Step-by-step explanation:

calculator

Answer:

1.6111111111.... or 1 11/18

Step-by-step explanation:

Well you just divide

14.5/9

At a car dealership yesterday, the ratio of trucks sold to cars sold was 5.6. If the dealership sold 30 cars, how many trucks were sold?​

Answers

Answer:

25

Step-by-step explanation:

ratio 5:6

[tex]\frac{5}{6} = \frac{x}{30}[/tex]

6x = 5(30)

6x = 150

x = 25

mind helping a girl out? pls and thank you lol

Answers

Answer:

First box: 2

Second box: 54

Step-by-step explanation:

The ratio is 1:6.

In other words, the second column is the first column times 6.

2 x 6 = 12

3 x 6 = 12

5 x 6 = 30

9 x 6 = 54

Therefore, the first box would be 2.

The second box would be 54.

Step-by-step explanation:

ginger ale 2because everything is multiplied by 6

so 9 *6

Here is some more
Find the value of x: 3x−7=8x+23

Answers

Answer: x=6

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

Subtract 3x from both sides to get -7=5x+23.

Subtract 23 from both sides to get -30=5x.

Divide 5 from both sides.

x = -6.

Which fraction is equivalent to the fraction below?
18/24

Answers

Answer:

6/8 , 12/16 , 48/64

Step-by-step explanation:

6/8 12/16 48/64 is the answers if you need more reply

Suppose the population of a town is 17,400 and is growing 2% each year.
Predict the population after 9 years.

Answers

Answer: 20,532

Step-by-step explanation:

17,400(.02)=348

348(9)=3132

17,400+3132=20,532

Answer:

Step-by-step explanation:

This is an exponential growth function of the form:

[tex]y=ab^x[/tex] where a is the initial population and b is the growth rate. This could also be written as

[tex]y=a(1+r)^x[/tex] which is a bit more accurate. We'll use that one. r is the percent growth: 2% for us.

Filling in the formula:

[tex]y=17400(1+.02)^x[/tex] and then simplifying:

[tex]y=17400(1.02)^x[/tex]

That's the model for this population. Filling in any number of years for x will give you the population y. Our time is 9 years:

[tex]y=17400(1.02)^9[/tex]

Take care of the exponents first, giving us:

[tex]y=17400(1.195092569)[/tex] and then multiply to get

y = 20,794.6 or 20,794 people (since you can't have 6/10 of a person)

Help I’ll mark Brainly est

Answers

Answer:

c

Step-by-step explanation:

it's c I think hmm maybe

Which one would it be

Answers

Answer:

A or [tex]\frac{\sqrt{6} }{2}[/tex]

Step-by-step explanation:

*note- this method only works because the denominator values are being multiplied, if they were being added then there are extra steps to keep in mind but for now this is simple*

Start by dividing the root 12 in the numerator by the root 2 in the denominator

[tex]\frac{\sqrt{12} }{\sqrt{2} }=\sqrt{6}[/tex]

Then we simply substitute back in the 2 (from the denominator) that we ignored for a second to get our answer

[tex]\frac{\sqrt{6} }{2}[/tex]

*note- if you are allowed to use a calculator then you could also plug in your values to check each answer option but since this question isn't too complicated there should be no need to do so unless you forget how to solve it algebraically*

The image of the point (2, -3) under a translation is (-1, 1). Find the coordinates of the image of the point (5, 6) under the same translation.

Answers

Answer:

the anser is b great job

Step-by-step explanation:

Find the area of the parallelogram

Answers

Answer:

18 x 16 = 288

Step-by-step explanation:

Formula of a parallelogram:

BH

(B x height) Your base times your height.

Which of the following have no solutions?

Answers

Answer:

B

Step-by-step explanation:

sorry if its wrong

Answer:

I think your answer would be B.)

Step-by-step explanation:

srry if wrong hope this helps

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