The drop down options are explicit and recursive.

The Drop Down Options Are Explicit And Recursive.

Answers

Answer 1

Answer:

Recursive

Explicit

Step-by-step explanation:

An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.

The recursive rule is that we have the initial term. To find the subsequent term, we will take that previous term and add it to our common difference.

Hence, we are relating the previous terms to define the nth term.

For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.


Related Questions

There are 60 seconds in a minute and 60 minutes in an hour. How many seconds are in one hour?

Answers

Answer:

3,600 seconds

Step-by-step explanation:

multipy how many hours by 3,600

(so 1 times 3,600)

Answer:

3,600 seconds

Step-by-step explanation:

[tex]\frac{60 seconds}{1 minute} (\frac{60 minutes}{1 hour} )=\frac{3,600 seconds}{1 hour}[/tex]

A rock is thrown from a cliff into a ravine. The function ℎ() = −16^2 + 19 + 2560 describes the height, in feet, of the rock from the ground seconds after it is thrown. What is the height of the rock, in feet, 2 seconds after it is thrown?

Answers

Answer:

d

Step-by-step explanation:

Find the area of the shape below

Answers

Answer:

????

Step-by-step explanation:

Answer:

where's the shape

Step-by-step explanation:

what's the length and width, maybe I can help

What is the ratio of 3:6

Answers

Answer:

1:2

Step-by-step explanation:

You didn't really specify, but I'm going to assume you meant as simplified as possible. If you write it as a fraction, it will be ½ or as a decimal it will be 0.5.

Answer:

1:2

Step-by-step explanation:

Simplifying a ratio is like simplifying a fraction.

Simply put the number to the left as the numerator, and the number to the right as the denominator.

In this case, 3/6 = 1/2.

Hence, plug the numbers right back in and you get 1:2.

Hope this helped!

A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $1$ unit to the right, but, from any positive position on the line, she randomly moves left or right $1$ unit with equal probability. What is the expected number of times the mosquito will visit $0$ before the first time she visits $4$?

Answers

The expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.

Given that repeatedly throwing a fair tetrahedral die, trying to get a 4 (success) before getting a number from 1 to 3 (failure), which follows a geometric distribution.

To find the expected number of visits to 0 before reaching 4, analyze two cases:

success (reaching 4 before 0) and failure (reaching 0 before 4).

By the given data, the probabilities of two cases are:

P(success) p = 1/4,

P(failure)=3/4.

The expected count of failures, X, can be found in terms of success probability p as

[tex]E[X]=\sum_{x=0}^{+\infty}[x(1-p)^xp][/tex]

On substituting p = 1/4 gives:

[tex]E(X) = 0(1/4)+1(3/4)(1/4)+2(3/4)^2(1/4)+3(3/4)^3(1/4)+.........[/tex]

On taking (1/4) gives

[tex]E(X) = 1/4[3/4+(3/4)^2+(3/4)^3+......+\infty]----(1)[/tex]

Consider [tex]3/4+(3/4)^2+(3/4)^3+......+\infty[/tex]

This forms a geometric series tends to infinity and the sum is given by :

[tex]S_\infty = a/(1-r)[/tex]

Here: a= 3/4

r = 3/4

Plugging these values into formula gives:

[tex]3/4+(3/4)^2+(3/4)^3+......+\infty = S_\infty[/tex]

[tex]S_\infty= 3/4/(1-3/4)[/tex]

On subtracting the denominator gives:

= 3/4/(1/4)

On taking reciprocal gives:

= 3/4 * 4

On simplifying gives:

= 3

Substituting these value into given equation 1 gives:

E(X) = 1/4*[3]

On multiplying gives:

E(X) = 3/4.

Therefore, the  expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.

Learn more probability about here:

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Quadratic functions 2. Did I do it right

Answers

Yea you did, good job

2x+3y = 17
2y + z = 1
5x +10z = 25

Find x

Answers

Answer:

x = 7

Step-by-step explanation:

Given the equations

2x + 3y = 17 → (1)

2y + z = 1 → (2)

5x + 10z = 25 → (3)

Rearrange (2) expressing z in terms of y

z = 1 - 2y

Substitute z = 1 - 2y into (3)

5x + 10(1 - 2y) = 25

5x + 10 - 20y = 25 ( subtract 10 from both sides )

5x - 20y = 15 → (4)

Multiply (1) by 20 and (4) by 3, then add to eliminate the y- term

40x + 60y = 340 → (5)

15x - 60y = 45 → (6)

Add (5) and (6) term by term to eliminate y, that is

55x = 385 ( divide both sides by 55 )

x = 7

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

From the equation [tex]2y + z = 1[/tex] , we can separate [tex]z[/tex] so that [tex]z = 1-2y[/tex].

The equation [tex]5x+10z = 25[/tex] can then be turned into:

[tex]5x+10(1-2y) = 25[/tex]

[tex]5x+10-20y = 25[/tex]

[tex]5x -20y = 15[/tex]

[tex]x-4y = 3[/tex] (divide by [tex]5[/tex] on both sides)

We can now use elimination to solve for one of the variable:

[tex]2(x-4y) = 2\times3[/tex] (times 2 to get [tex]2x[/tex] for elimination)

[tex]2x-8y=6[/tex]

[tex]2x+3y-(2x-8y) = 17-6[/tex]

[tex]11y = 11[/tex]

[tex]y = 1[/tex]

Now, we can use substitution to solve for [tex]x[/tex]:

[tex]2x+3y = 17[/tex]

[tex]2x+3 = 17[/tex]

[tex]x = 7[/tex]

Hope this helps :)

Which of the following finds T given I, P and R

Answers

Answer:

D. T= I/PR

Step-by-step explanation:

PRT are multiplyed so you divide PR to get T by itself.

what does x = ? need help with the pythagorean theorem

Answers

Answer:

The answer is 9

Step-by-step explanation:

set up the equation as 12^2 + b^2 = 15^2

solve the exponents and you get 144 + b^2 = 225

Then subtract 144 from both sides and get 81

After that just do the square root of 81 and you get 9

pls mark brainliest

ASAP WILL MARK BRAINIEST DUE IN 5!!!
The points in each table lie on a line. Find the slope of the line.

O 1/2
O 1
O 2
O None of the above

Answers

Answer: is 1/2

Step-by-step explanation:

i need help on this please​

Answers

-6 answer to -4+(-2)

3 answer to 7+(-4)

-3y-2=7 what is the value of y

Answers

Answer:

y = -3

Step-by-step explanation:

Add 2 to each side to isolate the -3y. Doing this leaves you with -3y=9. You then divide each side leaving you with y = -3

Answer:

The equation has one solution at which y = -3.

Step-by-step explanation:

To find the value of y, we need to isolate it from the rest of the equation.

Add 2 to both sides of the equation.Divide by -3 on both sides of the equation.Simplify the equation if necessary.

[tex]\displaystyle{-3y-2=7}\\\\-3y = 9\\\\\bold{y = -3}[/tex]

We can check to make sure that y = -3 by substitution.

[tex]\displaystyle{-3(-3)-2 = 7}\\\\9-2=7\\\\7= 7 \ \checkmark[/tex]

Because we got a true statement, we can determine that y = -3.

In triangleABC, a = 1.4 cm, b = 1.5 cm and c=1.5 cm. Find the measure of angleA to the nearest 10th of a degree.​

Answers

Answer:55.6

Step-by-step explanation:

Answer:

55.6

Step-by-step explanation:

The gross domestic product (GDP) of France is about $2.00 × 10 12 12 , and the GDP of Tuvalu is about $4.00 × 10 7 7 . How many times larger is the GDP of France than the GDP of Tuvalu?

Answers

Answer:

France's GDP is 50 000 times larger than Tuvalu's GDP.

Step-by-step explanation:

Given: Gross Domestic Product (GDP) of France = $2.0 x [tex]10^{12}[/tex]

            Gross Domestic Product (GDP) of Tuvalu = $4.0 x [tex]10^{7}[/tex]

To determine the number of times in which the GDP of France is greater than that of Tuvalu, divide the GDP of France by the GDP of Tuvalu.

[tex]\frac{2.0*10^{12} }{4.0*10^{7} }[/tex] = [tex]\frac{2000000000000}{40000000}[/tex]

           = [tex]\frac{200000}{4}[/tex]

           = 50000

Therefore, France's GDP is 50 000 times larger than Tuvalu's GDP.

i need the answer for this question

Answers

Answer:

x=5

y=7

(5,7)

Step-by-step explanation:

solved by substitution.

Describe the products made by the process of cellular respiration.

Answers

Step-by-step explanation:

The product is carbon dioxide and water

Find two integers whose sum is 19 and product is 90​

Answers

Answer:

Step-by-step explanation:

The two integers are 10 and 9

10 + 9 = 19

10 x 9 = 90

The two numbers are 9 and 10.

What are integers?

A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero

Let the two integers be x and y.

Given that, the sum of the integers is 19, therefore,

x + y = 19

x = 19 - y

Given that, the product of the integer is 90:

xy = 90

(19-y)y = 90

19y - y² = 90

y² -19y + 90 =0

y² -10y - 9y + 90 = 0

y(y - 10) -9(y - 10) = 0

(y -9)(y - 10) = 0

y = 9 and y = 10

Hence, the two numbers are 9 and 10.

Learn more about integers:

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A rectangular lawn 4m by 10m has a garden of uniform width added to one end. Then, along the combined side length of the lawn and garden , another garden is added, whose width is twice that of garden . The total area of the lawn and both gardens is 72 m2

Answers

Answer and explanation:

A rectangle's width is longer than the length

And so given a rectangular lawn 4m by 10m,

the width of the lawn= 10m

the length of the lawn= 4m

If a garden of uniform width is added, then garden's width = 10m

The garden of uniform width is added to the width side of the rectangular lawn( since along the combined side length of the lawn and garden, another garden is added)

The garden added to the combined side length of the lawn and garden has width twice that of the garden = 2*10= 20m

Given that total area of the lawn and two gardens = 72m²

Total area of lawn and 2 gardens(Area of rectangle(lawn+2 garden's)) is length * width

= 4*10+ 10*x+ 20*y=72

Therefore equation for total area of lawn and both gardens is 40+10x+20y=72

Where x is length of second garden attached to the width side of the lawn and y is length of the garden attached to the combined length side of the lawn and first garden

x can be solved

40+10x+20y=72

10x+20y=72-40

10x+20y=32

10x=32-20y

x=32-20y/10

Y can be solved

40+10x+20y=72

10x+20y=72-40

10x+20y=32

20y=32-10x

y=32-10x/20

PLEASE HELP!!!!! 2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)? 30 points if you can help

Answers

Answer:

22 units

Step-by-step explanation:

Known Quantities:

AB = CD and AC = BD

Calculations:

AB = 8AC = 3CD = 8BD = 3

Final Calculations:

perimeter = 2 x (3+8)perimeter = 22

HELP QUICKLY PLEASE!!
What are the coordinates of the endpoints of the midsegment for △JKL that is parallel to KL¯¯¯¯¯?

Enter your answers in the boxes

Answers

Answer:

Did you find the answer? I need help with this too

Step-by-step explanation:

HELP ASAP OTS DUE IN 5 MINUTES!!!!

Find the slope of the line.

0-5
0 -1
O 1
None of the above

Answers

Answer:

0 -1

Step-by-step explanation:

because the line is going down which is negative

Help Really quick
The table shows data collected from 14 people.

Shoe Size, x 8.5 9 9 9.5 10 10 10.5 10.5 11 11 11 12 12 12.5
Height (inches), y 66 68.5 67.5 70 70 72 71.5 70 71 71.5 73 73.5 74 74
Determine the correlation coefficient for the data. Round to the nearest hundredth.

r=

Answers

Answer:

i need the answer ;(

Step-by-step explanation:

Date
Page
A rectangular meadow has an area of 28 square
meter and perimeter 22 m, find the length and breadth.​

Answers

Answer:

perimeter =22m

area=28square meter

perimeter of rectangle=4l

22m=4l

22÷4=l

5.5=l

l=5.5m

area of rectangle =l×b

28=5.5×b

28÷5.5=b

5.09=b

b=5.09m

length =5.5m and breadth =5.09m answer !!!!

The length of a rectangle is represented by 4 + 6x. The width is half the length. What expression represents the perimeter of the rectangle? Explain your reasoning​

Answers

Answer:

12+18x is the perimeter

Step-by-step explanation:

4+6x+4+6x+1/2(4+6x)+1/2(4+6x)=

3(4+6x)=

12+18x

A carpenter use 65 shelves to make 13 bookcases. She uses the same number of shelves for each bookcase. Are 32 shelves enough to build 6 more bookcases?

Answers

Answer:

Yes.

Step-by-step explanation:

First, find the unit rate for 1 bookcase.

65 ÷ by 13 = 5 (unit rate)

Then, multiply the unit rate by the bookcases the carpenter wants to make.

6 · 5 = 30

Finally, subtract the shelves the carpenter wants to use by 30.

32 - 30 = 2 shelves.

Therefore, 32 shelves is enough to build 6 more bookcases. <3

A number x is greater than 3.

Answers

Answer:

4,5,6,7,8,9..........................

7a(3b - 2c + 4)


Help?

Answers

Answer:

21ab-14ac+28a

Step-by-step explanation:

[tex]7a(3b - 2c + 4)\\\\\mathrm{Distribute\:parentheses}\\\\=7a\times \:3b+7a\left(-2c\right)+7a\times\:4\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=7\times\:3ab-7\times\:2ac+7\times\:4a\\\\Simplify\\\\21ab-14ac+28a[/tex]

y-2 = -3(x + 6), write the equation of the line in slope intercept form.

Answers

Answer:

y = -3x - 16

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Given: y - 2 = -3(x + 6)

Slope-intercept form: y = mx + b

To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).

To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:

y = mx + b

2 = -3(-6) + b

2 = 18 + b

Subtract 18 from both sides of the equation to isolate b:

2 - 18 = 18 - 18 + b

-16 = b

The y-intercept is -16.

Now that we know the slope and the y-intercept, we can write the equation:

y = -3x - 16

1. To graph any linear equation in the calculator it needs to be in the slope
y intercept form. What is the slope y-intercept form for the equation
4y – 20x = -8

Answers

Answer:

y=mx+b no judgement i think this is right but i coukldbe completely off

Step-by-step explanation:

Every week, Hector’s 20 hours earns $210.00. He earns a constant amount of money per hour.

Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.

Answers

Answer: 20 weeks in 1 week

in 2 weeks 40

Step-by-step explanation:

This proves that the equation is true

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En cuales situaciones concretas se puede aplicar las tcnicas de conteo(particularmente las permutuaciones y las combinaciones) dentro de la informtica? Describe the products made by the process of cellular respiration. i speak which tense is this I need help please can someone help A rectangular lawn 4m by 10m has a garden of uniform width added to one end. Then, along the combined side length of the lawn and garden , another garden is added, whose width is twice that of garden . The total area of the lawn and both gardens is 72 m2 in the long walk to water why are the villagers celebrating the dirty water spraying from the borehole? The gross domestic product (GDP) of France is about $2.00 10 12 12 , and the GDP of Tuvalu is about $4.00 10 7 7 . How many times larger is the GDP of France than the GDP of Tuvalu? y-2 = -3(x + 6), write the equation of the line in slope intercept form. 333 WILL GIVE BRAINLIST!!Youve seen several images that organizations have used to persuade young audiences to eat more healthily or avoid tobacco products. Suggest an approach that you think would work better for this purpose than those youve seen so far. Your idea can take the form of any type of multimedia, but it should include a description of the media itself as well as its message. Nadezhda von Meck was A. One of tchaikovskys lovers B. A wealth benefactress who provided Tchaikovskys with an annuity c. The inspiration for his romeo and juliet D. Tchaikovskys wife? Which sentence best states the main idea of this passage from Roosevelt'sFour Freedoms speech? DatePageA rectangular meadow has an area of 28 squaremeter and perimeter 22 m, find the length and breadth. Describe the anatomy of the typical long bone If you commit a crime, which part of the 5th amendment protects you from not being told what you have been arrested for or being told that your court date is in 10 years? A) Self-incriminationB) Due ProcessC) Freedom of SpeechD) Eminent Domain Read the following excerpt from the article Icebergs, which was posted online by the United States Coast Guard. As you read, consider how some common words used in science texts have multiple meanings.Much has been written about bottle-green icebergs that are sometimes seen in the Antarctic. Several mechanisms have been proposed, but the most likely explanation for the green color is the freezing of organic-rich seawater to the underwater part of the ice shelf from which the iceberg calved. The green ice is exposed after an iceberg breaks free of the shelf and rolls over.What does the word shelf mean in this excerpt?Group of answer choicesA)part of glacial iceB)part of an icebergC)a green icebergD)part of the ocean A complex arrangement of pulleys forms what is called the block in a block and tackle. The rope used to lift the pulleys and the load is the tackle. A block and tackle is used to lift a truck engine, which has a weight and output force of nearly 8000 N. The input force required to lift this weight using the block and tackle is 400N. What is the mechanical advantage of the block and tackle? el principito le comparti y narr sus experiencia por el espacio de Can somebody plz just give me 1 more point on my question thx!!WILL MARK BRAINLIEST :D helppppppppppppppppppp How did the southern states deny rights toformer slaves during Reconstruction andbeyond?