If f(1)=6 and f(n) = F(n - 1) + 2 then find the value of f(4).

Answers

Answer 1

Hi there!

[tex]\large\boxed{f(4) = 12}[/tex]

We know that:

f(1) = 6

F(n) = F(n - 1) + 2 (Meaning, the next "n" is 2 added to the previous)

We can count up to f(4) using this logic:

f(2) = F(2 - 1) + 2 = F(1) + 2 = 6 + 2 = 8

f(3) = F(2) + 2 = 8 + 2 = 10

f(4) = F(3) + 2 = 10 + 2 = 12


Related Questions

{ x - 3y= -3 & x + y= 5 We are to use the graph to solve the given system of equations, then enter your solution below. I get how to draw the second equation but not the first. found slope of 1/3 & b=1. i dont understand how to graph this. I have tried different ways but keep getting it wrong. ​

Answers

Answer:

Solution: (3, 2)

Step-by-step explanation:

It's easier to graph when the equation of the lines are in their slope-intercept form, y = mx + b.

x - 3y = -3

-3y = -x - 3

Divide both sides by -3:

[tex]\frac{-3y}{-3} = \frac{-x - 3}{-3}[/tex]

y = 1/3x + 1

where slope = 1/3

y-intercept = 1

x + y = 5

Subtract x from both sides to isolate y:

x - x + y = - x + 5

y = -x + 5

where slope = -1  

y-intercept, 5

I started by graphing the y-intercepts of each line. Then, I used the slope of each linear equation (rise over run) to plot the next points on the graph. In the attached screenshot of the graph, x - 3y = -3 is the blue line, while x + y = 5 is the green line. Their intersection occurs at point, (3, 2).

Therefore, the solution is (3, 2).

Please mark my answers as the Brainliest if you find my explanations helpful :)

peo code how to solve 234%56 $34$ ?​

Answers

345$234$45% peo code ####

Help ! Answer please

Answers

Answer:

they did the subtraction wrong it should be addition

Step-by-step explanation:

Multiply. [−8⋅4/11]⋅[(−0.1)⋅22] What is the product? Enter your answer in the box.

Answers

Answer:

6.4

Step-by-step explanation:

[ -8 * 4 / 11] * [(-0.1) * 22] = (-32/11) * (-22/10) = 32*2/10 = 64/10 = 6.4

Answer:

it's was helpful to you...

help me please i need the answer

Answers

Answer

I feel like it’s A

Find the value of x in each case. 18 c
please hurry

Answers

Answer:

x = 22.5

Step-by-step explanation:

Interior angles of ΔABE are:

∠EAB ≅ ∠DEA as alternate interior angles ⇒ m∠EAB = 2xm∠AEB = 180° - m∠BEF as linear pair ⇒ m∠AEB = 180° - 4xm∠ABE = 180° - m∠EBC as linear pair ⇒ m∠ABE = 180° - 6x

Sum of interior angles is 180°:

2x + 180 - 4x + 180 - 6x = 180360 - 8x = 1808x = 180x = 180/8x = 22.5

One-fifth of the length of a foot-race is 3 miles. Find the length of the race

Answers

Answer:

let's call the entire length of the foot race we are looking for:  d

for distance.

We can then rewrite this problem as:

One-third of  d

is 5 miles. What is  d .

When dealing with fractions in this way the word "of" means to multiply. So we can write this problem in algebraic form as:

1 3 × d = 5

We can multiply each side of the equation by  

3  to solve for  d

while keeping the equation balanced:

3 × 1 3 × d = 3 × 5

3 3 × d = 15  1 × d = 15 d = 15

The length of the race is 15 miles.

Step-by-step explanation:

hope this helps


Express 24/40 and 18/42 in their simplest forms.Show your works

Answers

Answer:

24/40 = 4/5

18/42 = 3/7

Step-by-step explanation:

Sana makatulong

Answer:

Answer:

24/40 = 12/20=6/10=3/5

18/42 = 9/21=3/7

someon ehelp plzzzzzzz

Answers

Answer:

y=32

Step-by-step explanation:

[tex]\frac{3}{2} y=48[/tex]

[tex]\frac{2}{3}[/tex]•[tex]\frac{3}{2} y[/tex]=[tex]\frac{2}{3}[/tex]•[tex]48[/tex]

[tex]\frac{1}{3}[/tex]•[tex]3y=\frac{2}{3}[/tex]•[tex]48[/tex]

[tex]y=\frac{2}{3}[/tex]•[tex]48[/tex]

[tex]y=2[/tex]•[tex]16[/tex]

y=32

Convert grams to kilograms by completing the number sentences.
4,567 grams= _______ x_______
=_______x________
=_______x________​

Answers

Answer:

0.004567 kilograms

Step-by-step explanation:

4.567 grams=4.567÷1000=0.004567

becouse 1 kilogram = 1000grams

The conversion of 4,567 grams into kilograms will give the result of 0.004567 kilograms.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

We need to Convert grams to kilograms by completing the number sentences.

Since, 1 kilogram = 1000 grams

4.567 grams = 4.567 ÷ 1000

4.567 grams = 0.004567

Therefore, the conversion of 4,567 grams into kilograms will give the result of 0.004567 kilograms.

Learn more about the unit conversion here:

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given the following graphs,explain how replacing x with (x+c) or (x-c) affects the parent function graph?

Answers

Answer:

(x+c) would horizontally shift the parent function graph by c units to the left.

(x-c) would horizontally shift the parent function graph by c units to the right.

sara recycled 541 cans this month her mom recycled 479 how many cans did the recycled altogether?is this amount even or odd how do you know​

Answers

Answer:

1020 Even

Step-by-step explanation:

541+479=1020 Ends in 0 ... even

Answer:

1020 even

Step-by-step explanation:

571 + 479

I need help with finding the points

Answers

Answer:

(1,4)&(-5,-5)...

.................

if a pair of consecutive interior angles are congruent, what is the measure of each angle?

Answers

Answer:

a 90 angle

Step-by-step explanation:

Bob measured a restaurant and made a scale drawing. The scale of the drawing was 8 millimeters = 4 meters. What is the drawing's scale factor?

Answers

meter =1,000 millimeters. So, the scale is:

7 mm:1,000 mm Divide both sides by 7

1 mm:142 6/7 mm - This is the scale that Tess used.

10 times as many as 1 hundred is?

Answers

10 times as many as one hundred means that you are going to repeat 100 for 10 times. In other words, multiply 100 by 10.

So 10 times as many as 100 = 10 x 100 = 1000

This is the thousands blank.

Answer:

Step-by-step explanation:

1000, I'm pretty sure you're just multiplying

The amount of fresh water left in the tanks of a
nineteenth-century clipper ship is a linear function of
the time since the ship left port, as shown in the table.
Write an equation in point-slope form that represents the
function. Then find the amount of water that will be left in
the ship's tanks 50 days after leaving port.

Please help

Answers

Answer:

1768 gallons will be left

Step-by-step explanation:

its far too long I worked so hard pls brainliest

the square of the sum of x and 1

Answers

Answer:

(x + 1)^2 the square is x^2 + 2x + 1

Which expression is the factored form of−1.5w+7.5?


−1.5(w+5)

1.5(w−5)

1.5(5+w)

−1.5(w−5)

Answers

9514 1404 393

Answer:

  (d)  −1.5(w−5)

Step-by-step explanation:

The signs of the two terms are different. That will still be true of the factored form. If you factor out a minus sign, then the constant in parentheses becomes negative.

  -1.5w +7.5 = -1.5(w -5)

Answer:

4. -1.5(w-5)

Step-by-step explanation:

[tex] - 1.5w + 7.5 \\ - 1.5(w - 5) \\ [/tex]

If the house is worth 788,000 what is 20% down

Answers

Answer:

2.530

Step-by-step explanation:

you can divided

bi 20%

The population of a city for years since 2000 is shown below.
Find the exponential function model that best fits this data.

Answers

Answer:

qqqqqqqqqqqqqqqqqqq

Step-by-step explanation:

ppp

pls change this to decimal number 1011111 base 2​

Answers

Answer:  95 base 10

===========================================================

Explanation:

Check out the table below. Each 1 and 0 corresponds to a power of 2. A 1 indicates that we'll add on that power of 2 while a 0 means we ignore it. We will add up the items in the second row that correspond to a "1" in the first row.

We get:

2^6+2^4+2^3+2^2+2^1+2^0 = 64+16+8+4+2+1 = 95

Effectively, we add nearly everything in the second row except for the 2^5 term.

Therefore, the number 1011111 base 2​ is equivalent to 95 base 10.

help me with this sum I will mark you as beautiful​

Answers

Answer:

1: 153

2: 191

3: 208

4: 192

5: 73

6: 98

7: 145

A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 151 feet per second from an initial height of 95 feet off the ground, then the height of the projectile, h, in feet, t seconds after it's shot is given by the equation:
h = - 16t² + 151t +95

Answers

Answer:

Step-by-step explanation:

144 = -16t² + 151t + 95

  0 = -16t² + 151t - 49

quadratic formula

t = (-151 ±√(151² - 4(-16)(-49))) / (2(-16))

t = (-151 ± 140.23195) / -32

t = 0.34 s

t = 9.10 s

A 400 cm copper pipe is cut into two sections. One section is 7 times longer than the other.

What is the length of the longer section?

Answers

Answer:

350

Step-by-step explanation:

we consider length of smaller one by x, then

7x+x=400

8x=400

x=50, 7x=350

Hello, could someone please help me with this

Answers

Answer:

27.825

Step-by-step explanation:

Sure!

To turn a fraction into a decimal you simply divide 33 by 40. The whole number - 27 - can stay.

27 33/40 = 27 + (33/40)

= 27 + 0.825

= 27.825

Mark brainliest if possible, have a nice day!

You want to get a pizza the pizza is 14.00 but 50% off. How much will the pizza cost with 8% delivery tax Fees included?

Answers

Answer:

7.56

Step-by-step explanation:

14x.50(the remainder after you subtract the percent from 100) = 7

8% of 7 is 0.56

7+0.56=7.56

On the first day of a family road trip, Tamara's family travels 540 miles.
On the third day, they travel 15% farther.
How many miles does Tamara's family travel on the third day?

Answers

Answer: 621 miles on the third day

to find 15% of 540 multiply 540 by .15

540 x .15 = 81

Add 81 to 540

540 + 81 = 621

Answer:

Step-by-step explanation:

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Write an equation of a line that is perpendicular to the graph of y=2/5x-1

Answers

I know the slope would be -5/2 but I don’t have a calculator with me rn to find the y-intercept

The graph below is the function f(x)
Find lim x -> -1- f(x)=

Answers

As x approaches -1 from the left, the graph of f(x) leads you to the point (-1, 3), so the limit from the left is 3.

As x approaches -1 from the right, the graph leads to the point (-1, -3), so the limit from the right is -3.

The one-sided limits do not match, so the two-sided limit does not exist.

But f(x) is still defined at x = -1; this is indicated by the point (-1, -1). So f (-1) = -1.

We have found all the given limits for all the function.

What is limit of a function?

The limit of a function is a key notion in calculus and analysis that describes how the function behaves near a certain input.

How can we find limits for function?

As x approaches -1 from the left, the graph of f(x) leads you to the point (-1, 3), so the limit from the left is 3.As x approaches -1 from the right, the graph leads to the point (-1, -3), so the limit from the right is -3.The one-sided limits do not match, so the two-sided limit does not exist.But f(x) is still defined at x = -1; this is indicated by the point (-1, -1). So f (-1) = -1

Learn more about the limit of a function at

https://brainly.com/question/1444047

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