f(n)=93+4(n-1) Complete the recursive formula of f(n)

Answers

Answer 1

Answer:

f(1) = 93

f(n) = f(n - 1) + 4

Step-by-step explanation:

The recursive formula for an arithmetic sequence is given as:

f(1) = a

f(n) = f(n - 1) + d

where a = first term and d = common difference

An arithmetic sequence is in the form:

f(n) = a + d(n - 1)

where a = first term and d = common difference

The common difference in f(n) = 93 + 4(n-1) is 4.

The first term is 93.

The recursive formula is therefore:

f(1) = 93

f(n) = f(n - 1) + 4

Answer 2

Answer:

f(1)=93

f(n)=f(n-1)+4

Step-by-step explanation:

As you can see in the picture, the initial value is 93, which is why it's the first part of the equation. The 4 is multiplying the (n-1) part in the equation and as we complete the recursive formula of N, you have to put the numbers in the correct order.


Related Questions

Expand. Your answer should be a polynomial in standard form. (x-4)(x-6)

Answers

Answer:

x2+10x+24

Step-by-step explanation:

The expanded expression in standard form is: [tex]x^2 - 10x + 24[/tex]

To expand the expression (x - 4)(x - 6), you can use the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Let's do that step by step:

(x - 4)(x - 6)

Step 1: Multiply x from the first parentheses by both terms in the second parentheses:

[tex]x * x = x^2\\x * -6 = -6x[/tex]

Step 2: Multiply -4 from the first parentheses by both terms in the second parentheses:

-4 * x = -4x

-4 * -6 = 24

Now, put everything together: (x - 4)(x - 6) = [tex]x^2 - 6x - 4x + 24[/tex]

Combine like terms: [tex]x^2 - 10x + 24[/tex]

So, the expanded expression in standard form is:

[tex]x^2 - 10x + 24[/tex]

To know more about standard form here

https://brainly.com/question/19169731

#SPJ2

The graph of f(x) = x^2 was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?
A.The graph of g is a reflection of the graph of f across the x-axis.
B. The vertex of the graph of g is 9 units to the right of the vertex of the graph of f
C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
D. The graph of g is a reflection of the graph of f across the y-axis.

Answers

Answer:

C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

Step-by-step explanation:

It's a given that f(x) = x^2 so that means g(x) = f(x) - 9 means g(x) = x^2 - 9

in slope intercept form y = mx + b, b is the y-intercept

since g(x) is just f(x) with the y-intercept as -9 we know that the vertex of the parabola moves downwards 9 units

---

Hope this helps! :) If so, please mark my answer as brainliest

Function g(x) is the translation of function f(x). The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f(x). The correct statement is C.

Given,

[tex]f(x)=x^{2}[/tex].

[tex]g(x) = f(x) - 9.[/tex]

From the above functions it is clear that the equation for the graph of g(x) will be,

[tex]g(x)=x^{2} -9[/tex].

What is intercept?

The equation [tex]y=mx+c[/tex] is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).

Since The y intercept of function f(x) is zero.

Hence in the function g(x), it is 9 units below the intercept of the function f(x). Thus the correct option is C.

For more details on y-intercept follow the link:

https://brainly.com/question/329422

What is the equation of the line that passes through the points (1, –1) and (3, –7)

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

To find the slope of an equation you can do (y2-y1)/(x2-x1). Plug the values in from the equation and you get (-1+7)/(1-3), or 6/-2. This means the slope is -3. Then you plug the values of y and x into an equation y = -3x + b, and you get -1 = (-3)1 + b. Solve for b. -1 = -3 + b, (add 3 to each side) 2 = b. Then plug b back into your equation and you get y = -3x + 2

Answer:

-3x+2=y

Step-by-step explanation:

u need to find the slope intercept formula which mx+b=y

m=slope

b=y-intercept

first u should find the slope which is y2-y1/x2-x1

point 1:(1,-1)

point 2:(3,-7)

-7+1/3-1=-6/2=-3

m=-3

now replace the variables

-3(1)+b=-1

-3 times 1=-3

-3+b=-1

add 3 to both sides

b=2

now the equation is -3x+2=y

[2x + 3y = 1][5x - 4y = 14]

Answers

Answer:

x = 2

y = - 1

Step-by-step explanation:

Please see the step by step solution in the picture attached below.

Hope it can help you. Have a nice day!

The day after the British burned most of the government building in Washington, DC, something shocking happened: (A) President Madison surrendered, (B) the Americans counterattacked and retook the city, (C) a strong hurricane hit the city.

Answers

Answer:

C.

Step-by-step explanation:

1. Remember, evaluate means to plug in the value for the specified
variable.
w
Evaluate: (x - 3)2 + 2x - 4 for x = 5

Answers

Answer:

Value: 10

Step-by-step explanation:

1. Let us first write down the expression, changing it a bit to our convenience: 2(x - 3) + 2x - 4

2. Substitute this value of x into the expression as such:

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

3. Now we can approach this first part of the problem in two ways:

Option 1. distribute the 2 to the 5 and then the -3, in 2(5 - 3)

Option 2. subtract 3 from 5, then multiply 2 by that value

4. Given such, let us try the 2nd option for simplicity, and carry on with our calculations: 2(2) + 2(5) - 4

5. Now apply algebra and solve this expression:

2(2) + 2(5) - 4 = 4 + 10 - 4 = 14 - 4 = 10

Simplify (2a^3 a^4)^5. Show all work.

Answers

Step-by-step explanation:

I hope it's correct.. And hopefully you understand those steps and also my horrible writing

How many solutions does this equation have?

0 = 2z − 2z

Answers

Answer:

infinitly many solutions

Step-by-step explanation:

0=2z-2z

2z-2z=0

so 0=0

infinitly many

True or false
The solution to the inequality 5x+2<175x+2<17 is x<3x<3.

Answers

Answer:

I believe it is true. So sorry if it's not.

Write down all the factors of 15.

Answers

Answer:

1,3,5,15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factors of 15:

1 , 3 , 5 , 15

Is the ordered pair (4, -2) a solution to this system? Explain why or why not.

Answers

Answer: No, it would not be a solution.

Step-by-step explanation:

The solution to a systems of equations is the point where the lines intersect. The lines do not intersect at (4,-2) so it is not a solution. The lines do intersect at (-2,4), so (-2,4) would be the solution to this system.

convert 0.528 to a percent

Answers

Answer:

52.8%

Step-by-step explanation:

To convert a decimal to a percent, you simply need to multiply the decimal by 100. This is because a percent is a fraction of 100. Therefore, since 0.528*100=52.8, the answer is 52.8%. Hope this helps!

Percentage form of number 0.528 is,

⇒ 52.8%

We have to given that;

To convert 0.528 into a percent.

Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Hence, We can change into a percent as,

⇒ 0.528

⇒ 0.528 x 100%

⇒ 52.8%

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ6

Now move points C, D, and E on the circle, and note the interior angle measurements for the quadrilateral in the table below. Notice that m∠B is predetermined, so set that angle measure first.

Answers

Answer:

Explanation:

Plato

log x + Log(x+5) = log 6

Answers

Answer:

logx+log(x +1)= log6

Step-by-step explanation:

Please find attached photograph for your answer.

!!!!!TIMED REVIEW PLS ANSWER QUICKLY WILL LIST BRANLIEST!!!!
subtract six eighths minus two fourths​

Answers

Answer:

1/4

That would be the answer because 6/8 minus 2/4 would equal 1/4

Subtract six eighths minus two fourths is the same as 6/8 - 2/4.

Find common denominators.

6/8

2/4 = 4/8

Subtract.

6/8 - 4/8

2/8

Simplify.

2/8 = 1/4

Therefore, the answer is 1/4

Best of Luck!


x + 2y = 13
-x + y = 5

Answers

Answer:

x = 1; y = 6

Step-by-step explanation:

x + 2y = 13

-x + y = 5

Add the equations to eliminate x.

3y = 18

Divide both sides by 3.

y = 6

Now substitute y with 6 in the first equation.

x + 2(6) = 13

x + 12 = 13

Subtract 12 from both sides.

x = 1

Answer: x = 1; y = 6

What times 55 would equal 200

Answers

Answer:

The answer is 3, it's the only answer closest to 200

Step-by-step explanation:

The answer would be 3.6363 because it is the closest to 200

all sides of quadrilateral ABCD are tangent to circle p. What is the perimeter of the quadrilateral below?​

Answers

Answer:

The perimeter of the quadrilateral is that to add all the sides and multiply it by 2 to get the quadrilateral which will be 65.4.

Step-by-step explanation:

Answer:

it equals 41.2 units

Angle a =8x+6
Angle b= 4x+38
Solve for x and find the measure of angle b

Answers

Answer:

2(2x+19) would be your answer

you are packing clothes for vacation and don’t want to take any button down shirts. You randomly choose three shirts from a jar containing three T-shirts, three polo shirts, and four button downs.

a) what is the probability that the first three shirts are button downs when you replace each shirt before choosing the next one?
b) what is the probability that the first three shirts are button downs when you do not replace each shirt before choosing the next one?

Answers

a) Because each pick is independent (we pick and then replace), we just have to find the probability of picking it out once, then cube that. This probability is 4/(3+3+4)=2/5. So, it is 8/125.

b) If we replace it, then we can do it in a strategic way:

The probability of picking it out the first time is 2/5. Now, there are 3 button downs and 9 shirts total.

The second time: 3/9=1/3

Now there are 2 and 8

Third time: 2/8=1/4.

The final probability is 2/5*1/3*1/4=1/30

What is the medical term for infection of the gallbladder?

Answers

Answer:Cholecystitis

Step-by-step explanation:

what is the volume of a hemisphere with a radius of 6?

Answers

V

=

4

3

π

r

3

=

4

3

·

π

·

6

3

904.77863

HEEEEELP I IS TTTTTTIIIIIMMMMMEEEEEDDDD
What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?

A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases

Answers

Answer:

b

Step-by-step explanation:

Answer:

I dink Bs

Step-by-step explanation:

Mitch runs 4 miles in 2x + 3 minutes, and Joy
runs 7 miles in 5x - 1 minutes. If each of them
ran for 1 minute, how many miles would they
run, combined (in terms of x)?

Answers

I don’t know the 8 percent of what you do


what’s the answer for this

Answers

Answer:

63 yd²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 9, thus

A = 7 × 9 = 63 yd²

A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER. True or false

Answers

Answer:

yes that's the answer because the volume of a cylinder= πr²h and the volume of a cone =1/3πr²h

Solve for ttt. 2(t+1) = 10

Answers

Answer:

I hope this helps you. Have a great rest of your day!

The required, solution to the equation 2(t+1) = 10 is t = 4.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Expanding the left side of the equation, we get,

2t + 2 = 10

Subtracting 2 from both sides, we get,

2t = 8

Dividing both sides by 2, we get,

t = 4

Therefore, the solution to the equation 2(t+1) = 10 is t = 4.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5

If 0.75A = 36, what would you do to solve
for A?

Answers

Answer:

you divide 36 by 0.75

Step-by-step explanation:

Answer:

Divide 36/.75

Step-by-step explanation:

You need to isolate A in order to solve the equation.

Expand the expression (p+4q)3(p+4q)^3 (p+4q) 3 left parenthesis, p, plus, 4, q, right parenthesis, cubed using the binomial theorem.

Answers

Answer:

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Step-by-step explanation:

(p+4q)^3  -->

(3C3)(p^3) + (3C2)(p^2)(4q) + (3C1)(p)(4q)^2 + (3C0)(4q)^3 =

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Write the equation of a line that passes through the point (6,-3) and has a slope of -2

A. y= -2x+9
B. y= -3x+6
C. y= 6x-3
D. y=9x-2

Answers

Answer:

A

Step-by-step explanation:

You don't have to do anything, the only equation with a slope of -2 is A.

Other Questions
When a company generates a profit, what does that mean?a.The company generates money after all expenses have been met.b.The company has outsold a competitor.c.The company has received money after all inventory is sold.d.The company has run a competitor out of business. What is the area of this parallelogram A garden measuring 12 meters by 6 meters is going to have a walkway constructed all around the perimeter, increasing the total area to 160 square meters. What will be the width of the pathway? (The pathway will be the same width around the entire garden).Pls Show Work Deimos Corporation has 500,000 shares of $2 par-value common stock issued and outstanding when the market price per share is $22 per share. By what amount will total equity increase when the company declares a 2:1 stock split What is the mole fraction of Ba(OH)2 in an aqueous solution that contains 22.8% Ba(OH)2 by mass? Choose the correct answer:*(Posso) I use your telephone ? (formal)ShouldMightMustMayChoose the correct answer:*Madam, you know everything, so certainly you (sabe) swim.MayMightCanCouldChoose the correct answer:*Too much radiation from the sun (pode) cause dry skin or sunburn.MayMight CouldShouldChoose the correct answer:*It (pode, talvez) even cause skin cancer.( )Might( )Can( )Should( )Might notChoose the correct answer:*I (sabia) swim well when I was young. ( )Can( )Could( )May( )MightWhich sentence is correct?*( )What see you in the picture?( )What can you see in the picture?Which sentence is correct?*( )I mustn't forget to post these letters.( )I don't have to forget to posto these lettersWhich sentence is correct?*( )Could I go now, please? -- Yes, you can, of course.( )Could I go now, please? -- Yes, you could, of course.Which sentence is correct?*( )That might be for me. -- I've ordered a pizza.( )That can be for me. -- I've ordered a pizza.Which sentence is correct?*( )Sue doesn't may come this evening.( )Sue may not come this evening. Which of the following spheres of government has the ability to make immigration policy? Select all that apply.-local-state-national-school boards Roger currently makes $11 per hour after taxes. He works 34 hours per week. If Roger works 45 weeks out of the year, how much money will he earn during that time? what different types of phobias are there Which statement best summarizes global developments since the terroristattacks of September 11, 2001? I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT! When faced with balanced your financial life, which is an effective first step? How did events of the 1850s lead to the collapse of the Union in 1861? i need help!!!x+y=6x=4simplify the answer as much as possible 3. Which of the following is an example of asupplemental restraint system?(a) air bag(c) lap and shoulder belt(b) safety belt(d) antilock brakes The results of a survey indicate that the true proportion of households who recycle paper productsis likely in the interval (0.61,0.7).What is the point estimate of the proportion of households who recycle paper?Enter your answer, as a decimal, in the box. Pls help me I give brainliest thank uu and can u do step by step On November 1, 2018, Green Valley Farm entered into a contract to buy a $150,000 harvester from John Deere. The contract required Green Valley Farm to pay $150,000 in advance on November 1, 2018. The harvester (cost of $110,000) was delivered on November 30, 2018. The journal entry to record the contract on November 1, 2018 includes a Group of answer choices a) credit to Accounts Receivable for $150,000 b) credit to Sales Revenue for $150,000. c) credit to Unearned Sales Revenue for $150,000. d) debit to Unearned Sales Revenue for $150,000. Difference between homology and heterology? What were some problems encountered by African Americans in northern cities after moving there?