What does F(1) represent ?

What Does F(1) Represent ?

Answers

Answer 1

Answer:

F(1) represents the first term of the sequence.

Step-by-step explanation:

Let us suppose the sequence function

[tex]F(n) = 16-3n[/tex]

We can find the first term of the sequence by substituting n=1 in the function sequence

[tex]F(1) = 16-3(1)[/tex]

        [tex]= 16-3[/tex]

        [tex]=13[/tex]

We can find the 2nd term of the sequence by substituting n=2 in the function sequence

[tex]F(2) = 16-3(2)[/tex]

        [tex]= 16-6[/tex]

        [tex]=10[/tex]

We can find the 3rd term of the sequence by substituting n=3 in the function sequence

[tex]F(3) = 16-3(3)[/tex]

        [tex]= 16-9[/tex]

        [tex]=7[/tex]

So the first three terms of the sequence is:

13, 10, 7...

As the common difference is the same.

i.e. d = 10-13 = -3, d = 7-10 = -3

Hence, it is an Arithmetic sequence.

As the first term is 13, which can be obtained by putting n=1 in the function sequence.

Therefore, from the above discussion, we can conclude that F(1) represents the first term of the sequence.


Related Questions

What's y'all favorite tic tok sound?

Answers

Answer:

Laxed (SIREN BEAT)" by Jawsh 685

Step-by-step explanation:

Please help me out! I can’t do this on my own.

Answers

Answer:

y = 6x

Step-by-step explanation:

y = mx + b

Slope (m) = 6/1 up 6, right 1

Y-intercept (b) = 0

The graph shows the cube root parent function.

Answers

Answer: C

Step-by-step explanation:

The function is always increasing

The function is increasing when x>0 for the graph of [tex]y= \sqrt[3]{x}[/tex] as parent function.

What is graph?

" The graph is defined as the representation of relation between two variables on the coordinate plane."

According to the question,

Given graph of the  cube root parent function

For function [tex]y= \sqrt[3]{x}[/tex]

x = 0 ⇒ y = 0

x = 1 ⇒ y = 1

x = 8  ⇒ y = 2

x = 27 ⇒ y = 3

Therefore, for x>0, function [tex]y= \sqrt[3]{x}[/tex] is increasing.

Hence, Option(D) is the correct answer.

Learn more about graph here

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Y=4x+2
A) Identify the slope (4,-2)
B)Identify the y-intercept:-2

Answers

Answer:

4 - slope

2 - y - intercept

Step-by-step explanation:

The equation is in slope-intercept form.

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The '4' is the slope of the equation.

[tex]y=\boxed{m}x+b\\\\y=\boxed{4}x+2[/tex]

The '2' is the y-intercept.

[tex]y=mx+\boxed{b}\\\\y=4x+\boxed{2}[/tex]

Hope this helps.

if f(x)=4^x+4, then calculate f(0)

Answers

ok so F (0) should be equaled to = 0

Answer:

f(0) = 5

Step-by-step explanation:

Note that [tex]a^{0}[/tex] = 4

To calculate f(0), substitute x = 0 into f(x), that is

f(0) = [tex]4^{0}[/tex] + 4 = 1 + 4 = 5

Vivian scored 8 out of 10 on a quiz. Ramona scored 3 out of 4. Did Vivian and Ramona get equivalent scores? Explain.​

Answers

Answer:

Yes

Step-by-step explanation:

8/10 can be simplified to become 3/4

What is the domain of the function represented by the graph?

Answers

Answer:  Choice C.  [tex]x \ge -3[/tex]

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

Explanation:

The domain is the set of all allowed x inputs.

Here we see that x = -3 is the smallest x value possible as it is from the left-most point. The graph goes on forever to the right, so there is no largest x value. Effectively infinity is the largest x value even though infinity is not a number.

We can say the domain is [tex]-3 \le x < \infty[/tex] which can be simplified to [tex]-3 \le x[/tex] or [tex]x \ge -3[/tex]

In short: x can be -3 or larger.

There are 20 boys and 16 girls. what is the largest number of groups that you can form such that boys and girls are distributed equally among the groups?​

Answers

Answer:

Step-by-step explanation:

First we find the GCF or Greatest Common Factor

20: 1, 2, 4, 5, 10, 20

16: 1, 2, 4, 8, 16

As you can see 4 is the GCF (Greatest Common Factor)

so, the largest number of groups are 4

Unless you are asking for how many girls and boys can be fit in each group then,

20 ÷ 4 = 5

16 ÷ 4 = 4

So, 5 boys and 4 girls are in each group.

Anyone know the answer?

Answers

Answer:

skewed right

Step-by-step explanation:

It is skewed to the right.  There are 6 entries for 11. No other number comes close to the amount. 12 has 1 entry and 13 is the end of the graph. This definitely favors the right hand side.

What is the solution to -2( 1 - 4x ) = 3x + 8

Answers

Answer:

x = 2

Step-by-step explanation:

Given

- 2 (1 - 4x) = 3x + 8 ( distribute parenthesis on left side )

- 2 + 8x = 3x + 8 ( subtract 3x from both sides )

- 2 + 5x = 8 ( add 2 to both sides )

5x = 10 ( divide both sides by 5 )

x = 2

i was going to say the answer but the person above already said it , but yea i agree with them :)

Draw the dilation of ABCD using center D and scale factor 1/3. Label the dilation EFGH

Answers

Answer:

Please find attached, the required drawing of quadrilateral ABCD and the dilation of quadrilateral ABCD scaled down by a scale factor of 1/3

Step-by-step explanation:

The coordinates of the quadrilateral ABCD are;

A(0, 6), B(6, 6), C(9, 0), D(0, 0)

From the dilation by a scale factor of 1/3, using D as the center of dilation, we have from the attached drawing, the following coordinates of the quadrilateral EFGH as E(0, 2), F(2, 2), G(3, 0) H(0, 0) which is the quadrilateral ABCD scaled down by 1/3

What is the next fraction in this sequence?
3/10, 1/4, 1/5,3/20...

Answers

Answer:

1/10

I hope this helps!

Answer:

1/10

Step-by-step explanation:

6/20, 5/20, 4/20, 3/20 2/20


[tex]( \frac{3}{5} ) - 2[/tex]
simplify​

Answers

(3/5)-2= -7/5

-7/5= -1.4

Good luck !

This is pretty confusing please help!!!!!

Answers

True it’s true hope this helps

0.333... as a fraction it’s repeating fraction and 0.666 as a repeating fraction

Answers

Answer:

0.333 is 1/3

0.666 is 2/3

Step-by-step explanation:

I used my head but you can use a calculator too.

Answer:

0.3333 is 1/3 2/6 3/9 or 4/12

0.6666 is 2/3 4/6 6/9 or 8/12

Step-by-step explanation:

Find the equation that passes through points A and B

Answers

Answer:

Step-by-step explanation:

A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2

Equation of a line AB is

((y-y1) = m(x-x1)

y - 7 = 2(x-1)

y - 7 = 2x-2

y = 2x + 5

Answer:

y = 2x +5

Step-by-step explanation:

Equation of a line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The image provides two points A(1,7) and B(-3,-1), thus the slope is:

[tex]\displaystyle m=\frac{-1-7}{-3-1}[/tex]

[tex]\displaystyle m=\frac{-8}{-4}[/tex]

m = 2

Now we apply the point-slope form taking the point (1,7):

y - 7 = 2 ( x - 1 )

Operating:

y - 7 = 2x - 2

Adding 7:

y = 2x +5

Solve *
(7 Points)
9a + 28 = 4a +3
A -30
B 20
C 6.2
D -5

Answers

Answer:

D -5

Step-by-step explanation:

9+28−28=4+3−28

9=4−25

9−4=4−25−4

5a=−25

5

=

2

5

5a=-25

5a=−25

5a/5

=−25/5

a=-5

Solve -17 = x/-3 for x. x =

Answers

Answer:

x equals 51

Step-by-step explanation:

1. Do the inverse operation of x/-3 which is multipulcation.

2. Multiply -17 by -3 to get the answer of 51.

Finish the equation by saying that x = 51, or 51 = x.

Answer:

X=51

Step-by-step explanation:

You would have to multiply 17 by 3.

10x3=30

7x3=21

then you add 30 and 21 which equals 51

-1= 4 -5x can you please answer this

Answers

Answer:

x=1

Step-by-step explanation:

1*5 is 5 and 4 minus 5 is -1 hope this helped :)

Can you please tell me which one it is?? its okay if not

Answers

Answer:

estimate

Step-by-step explanation:

BRAINLIEST PLSSSSSSS PSLPSLSSLSSS

Answer:

estimate

Step-by-step explanation:

because when we estimate it will give us a value close to the exact value.

Urgent !!!

Select the correct answer.
The domain, range, and x-intercept of a one-to-one function are shown.

Answers

The answer is D i think

How do I solve this and check all the solutions?

Answers

Answer:

it is -6

Step-by-step explanation:

In this diagram where is the line of reflection?

Answers

The line of reflection is drawn going down the vertically at x=1 .

So on the x-axis( horizontal ), fine 1 and draw a straight line going up and down

The line of reflection is the vertical line x = 1.

What is a reflection?

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

The line of reflection is the vertical line passing through the midpoint of segment AA'.

Since A'(2,5) and A(-4,5) have the same y-coordinate, their midpoint is on the line y = 5.

Therefore, the line of reflection is the vertical line x = 1.

To learn more about the reflection;

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What is the next term in the following sequence?
-3.4, 11, 18, ...
27
25
7
12

Answers

Answer:

the difference is seven and the next answer should be 25 because 18+7=25

Answer:

25

Step-by-step explanation:

In order to find the answer to this question you must find the rule that the sequence goes by and then add.

You can see that it adds seven in order for it to reach four and then add's seven again to reach eleven meaning the rule of this sequence is plus seven.

So now just add:

[tex]18+7=25[/tex]

[tex]=25[/tex]

Hope this helps.

Worth 15 points. Brainliest will also be given to the first correct answer.

In the movie Titanic, the blue, diamond heart-shaped necklace that was given to Rose was called _______________.

a) The Heart of the Atlantic
b) The Diamond Heart
c) The Heart of the Ocean
d) The Royal Diamond

Answers

Answer: It is C

Step-by-step explanation: Love the movie I cry that Jake didn't make it :(


Throe would like to hire a guitarist for his charity concert. Guitarists A and B are offering their services to
Throe but each guitarist charges different initial fees and hourly rates. How can Throe check to see when
they will charge the same amount of money? Name three ways to perform this task.

Answers

Answer:

guitarist a&b I often their service to throne but each guitarist charge different intentional feeds and hourly rates how can the throne check to see when they will charge the same amount of money named three ways to perform this task answer

find f((1)/(3)) if f(n)=3n

Answers

Answer:

1

Step-by-step explanation:

Given

f(n) = 3n

To find

f(1/3) =?

Substitute n with 1/3 and calculate

f(1/3) = 3*1/3 = 1

Answer: The answer is 1 sweetie

Step-by-step explanation: Given

f(n) = 3n

To find

f(1/3) =?

Substitute n with 1/3 and calculate

f(1/3) = 3*1/3 = 1

In a Petri dish there are currently 1,235 bacteria. The growth rate of bacteria is 3.25% How many bacteria will be there in the dish after 5 hours

Answers

Answer:

....

Step-by-step explanation:

Answer:

1,436

Step-by-step explanation:

First multiply the growth rate by the number of hours.

3.25 x 5 = 16.25

Now multiply 1,235 by 100. = 123,500

And also multiply 1235 by the remainder percentage not being used(83.75)= 103,060.75

Now subtract 123,500 - 103,060.75 = 20,439.25

Divide this number by 100 = 204.3925 which is what 16.25% of 1,235 is.

1,235 + 204 = about 1,439 but since i rounded up a few times the answer is actually 1,435.6875 rounded up to 1,436

Please answer C and D please ! I would love you forever !!!!

Answers

Answer:

First i need you to tell me the pattern and then i will help you :)

Step-by-step explanation:

-4/1

-1/0

2/1

5/2

8/3

or put then as ratios the same way i am not so sure

Answer:

Do you love me?

Step-by-step explanation:

As a part of your project studying tipping behavior, you ask people the question, How much should you tip a grocery bagger for carrying five bags to your car? The Grocery Bagger Surveys tab of this spreadsheet gives the responses to this question from 10 independent surveys, each with 50 respondents. The respondents were asked to round to the nearest quarter, since few people tip with pennies, nickels, and dimes. In the spreadsheet, you can calculate the mean, or average, of data using the Average function: Select the cell in which you want the mean to appear. Type =AVERAGE( in the formula bar. Select all the cells containing the values for which you want to find the average, and then press Enter. The average of the values in the cells will be calculated and displayed in the cell in which you entered the formula. Question 1 What is the sample mean of the responses in survey 1?

Answers

Don’t have idea for this work can of confused

Answer:

The sample mean for survey 1 is $1.69.

Step-by-step explanation:

I just did this on edmentum plato.

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