Write an explicit formula for an, the n^th
term of the sequence 2, 4, 6, ....

Answers

Answer 1

Answer:

[tex]a_n=2n[/tex]

Step-by-step explanation:

The given sequence is 2, 4, 6, ....

We need to write an explicit formula for [tex]a_n[/tex]. The firts term is 2, second term is 4 and third term is 6 and so on.

Each term is 2 greater than the term before it. Thus we can write it as follows :

[tex]a_n=2n[/tex]

Where

n = 1,2,3....

Hence, the explicit formula is [tex]a_n=2n[/tex].


Related Questions

7. What is the value of z in the solution to the systems of linear equations shown below?
-x+ 2y + 2z= -4
4x +y-3z=13
x- 5y +z = -23

Answers

Step-by-step explanation:

[tex]1) \: \: - x + 2y + 2z = - 4 \\ 2z = - 4 + x - 2y \\ z = \frac{ - 4 + x - 2y}{2} \\ \\ 2) \: \: 4x + y - 3z = 13 \\ - 3z = 13 - 4x - y \\ z = \frac{13 - 4x - y}{ - 3} \\ \\ 3) \: \: x - 5y + z = - 23 \\ z = - 23 - x + 5y \\ [/tex]

PPL PLZ HELP!! I WILL GIVE BRAINILEST!!!

Answers

Step-by-step explanation:

to find the answer, you want to convert the fractions into decimals.

to do that, you need to divide 1 by the denominato then multiply by the numerator.

ex: 3/4

1÷4=0.25

0.25×3= 0.75

That will give you an idea where to put it in the number line.

hope it helped


10 push-ups in 2 days= ?


Answers

Answer:20

Step-by-step explanation:

Cuz 10+10=20

is arccos equal tu sec ?​

Answers

yes it is equal to tu sec.

A cashier is paid a standard hourly rate and makes $43.75 for 5 hours of work. How much is the cashier paid for 8 hours of work?

Answers

Answer:

70 dollars

Step-by-step explanation:

divide 43.75 by 5. you get 8.75 an hr. multiply 8.75 by 8 and you get 70 dollars as your answer.

Evaluate the equation: 7.15e = 64.35

Answers

Answer:

Simplifying

7.15e = 64.35

Solving

7.15e = 64.35

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Divide each side by '7.15'.

e = 9

Simplifying

e = 9

Answer:9

Step-by-step explanation:

Solve for d.

Help is appreciated thank u!!

Answers

Answer:

d = 16.88

Step-by-step explanation:

Start by simplifying both sides of the equation then isolate the variable

fill the table using this function rule
y=-10x+3

Answers

Answer:

53, 13, 3, -7

Step-by-step explanation:

When x = -5,

y = -10(-5) + 3

= 50 +3

= 53

When x = -1,

y = -10(-1) + 3

= -10 + 3

= 13

When x = 0,

y = 3

When x = 1,

y = -10(1) + 3

= -7

Hope this helps.. Feel free to mark this as brainliest! :D

Hello there!y=-10x+3If x:-5:y=-10(-5)+3y=50+3y=53If y=-1:y=-10(-1)+3y=10+3y=13y=-10(0)+3y=3y=-10(1)+3y=-10+3y=-7Hope this helps you!~Just a teen who loves Bio and Maths and misses her best friend[tex](:GraceRosalia :)[/tex]

please help
Describe what we should do to the graph if we have g(x) = x + a

Answers

Answer:

para saan po yarn anong grade

NEED HELP NOW PLEASE

A map has a scale of 1 centimeter:8 kilometers.
Use the given actual distance to find the distance
on the map: 16 km

Answers

Answer:

2cm

Step-by-step explanation:

GIven,

1 cm= 8km

1*2cm=8*2km

2cm=16km

Kylie just accepted a job at a new company where she will make an annual salary of $43000. Kylie was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Kylie make as a salary after 6 years working for the company? What would be her salary after tt years?

Answers

Answer:5600

Step-by-step explanation:

Because I just did it

A survey asked 50 students if they play an instrument and if they are in band.
1.25 students play an instrument.
2. 20 students are in band.
3. 30 students are not in band.
Which table shows these data correctly entered in a two-way frequency table?

Answers

Answer:

I believe it is D

Step-by-step explanation:

If I am correct please mark Brainlyiest

The table that shows these data correctly entered in a two-way frequency table is:

                    In Band Not in Band Total

Play                   15                10       25

Do Not Play    5               20       25

Total           20               30       50

What is a two-way frequency table?

A two-way frequency table is a way of organizing and displaying data that shows the frequency of occurrences of two categorical variables.

In such a table, the rows represent one variable, the columns represent the other variable, and the cells show the number (or frequency) of times that each combination of categories occurs.

We have,

A two-way frequency table shows how many times each combination of two categorical variables occurs.

In the table, the rows represent the "play an instrument" variable, the columns represent the "are in band" variable, and the totals are shown at the end of each row and column.

The entries in the table represent the frequency, or the number of students who belong to each combination of categories.

In this case, the two variables are "play an instrument" and "are in band". Based on the given information, we can create the following table:

Thus,

The table that shows these data correctly entered in a two-way frequency table is:

                    In Band Not in Band Total

Play                   15                10       25

Do Not Play    5               20       25

Total           20               30       50

Learn more about two-way frequency here:

https://brainly.com/question/31189964

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If ABC is congruent to DEC…..what is x

Answers

Answer:

x = 32.5

Step-by-step explanation:

If ABC is congruent and equal to DEC then angle CDE = angle CBA since AB || DE

thus ABC = 2x = 65 where x = 65/2 = 32.5

HELP PLEASE!!Which lines in the graph have a slope greater than 1 but less than 2?
у
9
7
1
2.
3
5
6 5
ch
5
3
2
8
3
8
line 1
line 2
line 3
line 4
lines

Answers

Lines 2 & 3 because slope is each point they are touching and calculate rise/run

Answer:

Line 3 and 4

Step-by-step explanation:

Plato

I rlly need help, pllzzzzzzzzzzzzzz 10 points

Answers

the answer is 1,050 ft2

three numbers that are greater then 200 but lest the 300 that are divisible by 6 and 10

Answers

Answer:

260

Step-by-step explanation:

BRAINLIEST PLS

complete the table and sketch the graph​

Answers

Answer:

where's the picture?

Step-by-step explanation:

can I have the pic po

To the nearest hundredth, 11.6/0.95 is about

Answers

Answer:

12.21

Step-by-step explanation:

an online article suggested for each additional person who took up regular running for exercise the number of cigarette smoke daily woo decrease by 0.178 if we assume that 45 minute cigarettes will be smoked per day if nobody ran what is the equation of regression line for predicting number cigarette smoke per day in the number of people who regularly run for exercise

Answers

The linear function that models the situation is given by:

[tex]y = 45 - 0.178x[/tex]

The format of a linear function is:

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

In which:

m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.

If nobody ran, 45 cigarettes would be smoked, thus the initial value is of [tex]b = 45[/tex].For each additional person that exercises, the amount decays by 0.178, thus the slope is [tex]m = 0.178[/tex].

The equation that models this situation is:

[tex]y = 45 - 0.178x[/tex]

A similar problem is given at https://brainly.com/question/16302622

Step by Step What do I do

Answers

Answer:

7:46

Step-by-step explanation:

The clock says 9:20. I am assuming that the question is related to the clock on the left. It asks for the time an hour and 34 minutes ago. One hour from 9:20 is 8:20. Now we work with the minutes. 8:20 minus 34 minutes is 7:46.

Answer:

7:46

Step-by-step explanation:

8. Elijah has $2800.00. He gets a check for $300.00. He takes his mom out for dinner that costs $150.00. He finds$200.00 on Utopian Street, he then pays his friend Christian back $175, finally he pays his car insurance for $115.How much money does he have left?__________

Answers

Answer:

$2060

Step-by-step explanation:

2800+300-150-175-115= $2060

Answer:

2860

Step-by-step explanation:

2800+300-150+200-175-115=2860

Write the equation of the line in fully simplified slope Intercept form.

Answers

Answer:

y = -0.83x - 2

Step-by-step explanation:

Slope intercept form is y = mx+b.

M is the slope: In this case the slope (rise/run) is 10/12. However, the slope is decreasing is that would make it negative.

Now we have: y = -0.83x + b

B represents the y-intercept. The y-intercept here is -2. So our final equation is:

y = -0.83x - 2

PLEASE HELP THIS DUE AT 12:00 PM

Answers

Answer:

a.

Scale Factor = 2

Reason:

Since, B is a scaled copy of A it's corresponding sides must be in proportion with that of A, and that proportion would be its scale factor.

I held their horizontal sides and compared them.

in case of A, the side is 2.5 and in case of B it's 5.

so, 5 divided by 2.5 gets you 2, that is the scale factor.

b.

3, 5 (from left to right)

Solution:

[tex] \boxed{ \mathsf{ \frac{crsp. \: side \: of \: b}{crsp. \: side \: of \: a} = scale \: factor }}[/tex]

this also means

[tex] \boxed{ \mathfrak{crsp. \: side \: of \: b =( scale \: factor) \times \: crsp. \: side \: of \: a }}[/tex]

Scale factor = 2

Using this we'll get the answer to the question marks

The corresponding side to 1.5 is the vertical one in B.

=> corresponding side in B = 2 × 1.5

= 3

(this is the first question mark in order from left to right)

The corresponding side to 2.5 is:

= 2 × 2.5

= 5

c.

53° and 37° (from top to bottom)

Solution:

Scaled shapes have the same angle measures.

Reason:

When we scale two line segments meeting at a point, the lengths of the segments change but they still are part of the same pair of rays making the same angle.


Who can answer this?

Answers

Answer:

because of parallel lines it's 63

Given that < h (interior) and < k (exterior) are on the same side of the transversal, they are corresponding angles with the same measure.

Given that m < k = 63°, then m < h must also be 63°.

Therefore, the correct answer is 63°.

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

(X-3)^2. Open this bracket

Answers

(X-3)^2
Actual form is: a^2+2ab+b2
So it will be: x^2-6x+9.

The graph shows the amount of money paid when purchasing bags of candy at the zoo:


What is the constant of proportionality of the image shown below?

A. 1/2
B. 3/4
C. 1
D. 2

Answers

Answer:

D

Step-by-step explanation:

The proportions is 2

hope this helps

Write an equation in slope-intercept form
of the line that passes through the point
(-12,6) and is perpendicular to the line
X= - 3/4y -5 ( What would be my first step to put that equation into slope intercept form?) 

Answers

Hint :-

The product of slopes of two perpendicular lines is -1 . The slope intercept form of the line is [tex] y = mx + c [/tex] .The point slope form of the line is [tex] m(x-x_1) = (y-y_1) [/tex]

Solution :-

The given equation to us is ,

[tex]\implies x = \dfrac{-3}{4}y - 5 [/tex]

Convert it to slope intercept form we have ,

[tex]\implies 4x =-3y -20 \\\\\implies 3y = -4x -20 \\\\\implies y =\dfrac{-4}{3}x -\dfrac{20}{3}[/tex]

On comparing to the slope intercept form of the line we have ,

[tex]m = \dfrac{-4}{3}[/tex]

As we know that the product of slopes of two perpendicular lines is-1 , henceforth ,

[tex] m_{perp}= \dfrac{3}{4}[/tex]

Now using slope point form rewrite the equation of the perpendicular line ,

[tex]\implies y-y_1 = m(x-x_1) \\\\\implies y -6 = \dfrac{3}{4}(x+12)\\\\\implies 4y -24 = 3x + 36 \\\\\implies 3x -4y +36+24=0\\\\\implies \underline{\boxed{ \gray{3x -4y +60=0}}}[/tex]

-8(6+X) + 4(2x + 7) = 0

Answers

Answer:

-20 = 0

Step-by-step explanation:

-8 (6 + x) + 4 (2x + 7) = 0

-48 - 8x + 8x + 28 = 0

-20 = 0

At a bargain store beast boy bought 5 items that each cost the same amount. Cyborg bought 8 items that each cost the same amount, but each was $1.50 less than the items beast boy bought. Both beast boy and Cyborg paid the same amount of money. What was the individual cost of each person's items?
A: Write an equation. Let x represent the cost of one of beast boys items.
B: Solve the equation. Show your work
C: Check your solution. Show your work
D: What was the individual cost of each person's items? State the solution in complete sentences.​

Answers

Answer:Bb 12. Cyborg 12

Step-by-step explanation:

Right for my test

The required number of items purchased by the beast boy is 4 and by Cyborg is 2.5.


Given that,
At a bargain store beast boy bought 5 items that each cost the same amount. Cyborg bought 8 items that each cost the same amount, but each was $1.50 less than the items beast boy bought. Both beast boy and Cyborg paid the same amount of money.

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.

Let the cost of the item bought by the beast boy is x, and the item bought by the Cyborg be y,
According to the question,
5x = 8y
x = 8/5y  - - - - - - -(1)
y = x - 1.50  - - - - - -(2)
Substitute the value of equation 1 to equation 2
y = 8/5y - 1.50
5y = 8y - 7.50
7.50 = 3y
y = 2.5
Now, put y in equation 1
x = 8 / 5 × 2.5
x = 8 × 0.5
x = 4
Now, the costs,
5x = 4 × 5 = $20
8y = 8 × 2.5 = $20

Thus, the required number of items purchased by the beast boy is 4 and by Cyborg is 2.5.

Learn more about simplification here: https://brainly.com/question/12501526

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102division3-(5of2+9-7)+2division1/2

Answers

Answer:

18

Step-by-step explanation:

ewan ko d ko alam hihihihi

step 1: Divide 3 by 102 you get 34

step 2: Multiply 5*2 then subtract 9-7 you get 12 (inside bracket)

step 3: Divide 1 by 2 by 2 you get 1

Answer:

34 ( 12) + 1 = 21




hope this helps have a great day
mark brainliest:)!!
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