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

HELP 25 POINTS +BRAINIEST The weight of a substance measures 3 × 10^-3. grams. Express this weight in standard notation.

Answers

Answer:

Scientific notation is a way of writing very large and very small numbers.

A number in scientific notation has the form  

N

×

10

a

, where  

N

is a number between 1 and 10, and  

a

is a positive or negative integer.

To convert to scientific notation, you move the decimal point until the new form is a number between 1 and 10 (

N

) and then record the exponent (

a

) as the number of places the decimal point was moved.

If you move the decimal to the right, the exponent is negative.

Express  

0.000 000 03 g

in scientific notation.

Step 1. Move the decimal place to the right to create a new number between 1 and 10.

This gives  

N

=

3

.

Step 2. Count the number of times you moved the decimal.

You moved the decimal 8 places to the right.

That means the exponent  

a

=

-8

.

Step 3. Write the number in scientific notation.

0.000 000 03 g

=

3

×

10

-8

l

g

Step-by-step explanation:

If F(x) = x - 5 and G(x) = x2, what is G(F(x))?

Answers

Answer:Step-by-step explanation:

G(F(x))=(x - 5)²

According to one study, the average monthly cell phone bill in the U.S. is $70. If a 20-year old student with an average bill gives up her cell phone and each month invests the $70 she would have spent on her phone bill in a savings plan that averages a 4% annual return, how much will she have saved by the time she is 65?

Answers

Answer:

$37,800

Step-by-step explanation:

If she put 70 dollars in every month for 45 years she would have $37,800

solve by regrouping 2x2+6x+54+18x

Answers

Answer:

I believe the answer is=2x2+342.

Pls Help Me find the Area T-T

Answers

Answer:

the answer is 55m^2 I think

Answer:

55 is the Area

Step-by-step explanation:

4 x 10 = 40

5 x 3 = 15

15 ÷ 2 = 7.5

5 x 3 = 15

15 ÷ 2 = 7.5

7.5 + 7.5 = 15

40 + 15 = 55

Give Me Brainllest

How much money is 5 dollars, 10 dimes, and 10 pennies?

Answers

Answer:

6 dollars and 10 cents

Step-by-step explanation:

I'm sorry this isn't the answer, but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!

The price of milk has been increasing by 4% per year. If he gallon of milk cost exactly 3 dollars right now, how much should it cost in 4 years?

Answers

Answer: 3.48
Explanation: It’ll increase by 0.12 every year!

A sociologist recorded the number of contacts entered in a cell phone and the number of texts sent in a week for 20 cell phone users. The resulting data were used to conduct a hypothesis test to investigate whether there is a linear relationship between the number of contacts and the number of texts sent. What are the correct hypotheses for the test?

a. H0:β1=0 Ha:β1≠0

b. H0:β1=0 Ha:β1>0

c. H0:β1=0 Ha:β1<0

d. H0:β1≠0 Ha:β1=0

e. H0:b1=0 Ha:b1≠0

Answers

The correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0

What is Statistic?

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,

The correct hypotheses for testing the linear relationship between two variables can be stated as:

H0: β1 = 0 (there is no linear relationship between the number of contacts and the number of texts sent)

Ha: β1 ≠ 0 (there is a linear relationship between the number of contacts and the number of texts sent)

Therefore, the correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0

Learn more about statistics here:

https://brainly.com/question/15236063

#SPJ2

If cosx=-3/7, find the value for cos4x

Answers

Answer:

cos ( 4 x ) = - 479 / 2401

Step-by-step explanation:

:D

There are 20 children at a library. Six of the children have a averahe age of 5 years. The remaining children have a sverage age of 8 years. What is the average age of the children at the library?​

Answers

Answer: The average age of the children at the library is 7.1 years.

Step-by-step explanation:

Given,

Out of 20 children, six of the children have an average age of 5 years,

Thus, the sum of the ages of 6 students = 5 × 6 = 30

( Total sum of observations = Their Average × Total numbers of the observations )

Now, remaining students = 20 - 6 = 14,

Since, the remaining children have an average age of 8 years.

Thus, the sum of the ages of 14 students = 14 × 8 = 112,

Total sum of the ages of 20 students = 30 + 112 = 142

=142/20

= 7.1 years

Answer:

The average is 7.1 years!

Step-by-step explanation:

6 children = average of 5 years

14 children = average of 8 years

PLEASE HELPP ASAPPP will mark brainlist

Answers

Answer:

I think this is the answer for the second question.

Point Z is the incenter of triangle RST. Point Z is the incenter of triangle S R T. Lines are drawn from the points of the triangle to point Z. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. Angle A S Z is (5 x minus 9) degrees and angle Z S B is 16 degrees. What is the value of x? x = 2 x = 3

Answers

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

SZ is the angle bisector of angle S, so ...

  ∠ASZ = ∠ZSB

  5x -9 = 16

  5x = 25 . . . . . . add 9

  x = 5 . . . . . . . . .divide by 5

Answer:

C

Step-by-step explanation:

mhm

6x4/12+72/8-9 using pemdas

Answers

Here ya go ^v^ try to use math.way
I hope this helps
Ya have a wonderful day ^v^

Answer:

the answer is 2

Step-by-step explanation:

You do multiplication and division left to right first and then you add the two answers

Antonio buys 2.25 pounds of grapes at the store. The grapes are on sale for $1.20 per pound. How much will Antonio pay for the grapes?

Answers

Answer:

$2.70

Step-by-step explanation:

write the sentence as an inequality. A number x is greater than 6 but less than 10. ​

Answers

Answer:

6>x<10

Step-by-step explanation:

also put a line under both > <

solve for x in kite ​

Answers

Answer:

x = 38

Step-by-step explanation:

since angle AED is a right angle 2x + 14 = 90

subtract 14 from 90 you get 76, divide that by 2 you get 38

The slope of the line below is -2. Write the point-slope equation of the line
using the coordinates of the labeled point.

Answers

Answer:

[tex]y+6=-2(x-4)[/tex]

Step-by-step explanation:

Point-slope form is a way of representing a line by using one of its points and the slope of a line. Its general format is the following,

[tex](y-y_1)=m(x-x_1)[/tex]

Where (m) represents the slope, ([tex]x_1[/tex]) and ([tex]y_1[/tex]) represents a point on the line.

It is given that the slope of the line is (-2), and that the line has point (4, -6). Substitute this into the formula.

[tex](y-(-6))=-2(x-4)[/tex]

[tex]y+6=-2(x-4)[/tex]

k over 1.5 equals 3 what is k

Answers

Answer:k=4.5

Step-by-step explanation:4.5/1.5=3

A football stadium contain 80% of its full capacity of spectators for a grand final match. At the end of the game, spectators leave the ground through various exits at the rate of 5 spectators per seconds. After 20 minutes the stadium contain 60% of its full capacity of spectators.
A. Calculate the full capacity of the stadium
B. How many spectators will be in the stadium 1 hour after the end of the game?

Answers

Answer:

A. 30000

B. 12000

Step-by-step explanation:

Find out how much spectators leave in 1 minute.

1 second = 5

1 minute = 5 x 60 = 300 (60 seconds)

20 minutes = 300 x 20 = 6000

Since there were only 80% of the full capacity of spectators and after minutes it became 60%...

80% - 60% = 20%

20% = 6000

1% = 6000 ÷ 20 = 300

100% = 300 x 100 = 30000

1 minute = 300 spectators leaving

1 hour = 300 x 60 = 18000 (60 minutes)

30000 - 18000 = 12000

We are told that the data is representative of the two populations (U.S. males aged 20-29 years and U.S. males aged 75+ years), and we will assume that researchers collected random samples. The samples are very large; therefore, the conditions are met for use of the T-test. Using StatCrunch, we find a T-score of 5.3 and a P-value of "< 0.0001." What can we conclude? Group of answer choices The data prove that, in the U.S., young men weigh about 4.9 kgs more on average than old men. The data suggest that young men weigh more on average than old men in the U.S., but that the difference in mean weights for the two groups is not statistically significant. The data provide strong evidence that young men weigh more on average than old men in the U.S. no conclusion is possible because we did not specify a significance level

Answers

Answer:

The data provide strong evidence that young men weigh more on average than old men in the U.S

Step-by-step explanation:

Given :

The null hypothesis ; H0 : μ1 = μ2

The alternative hypothesis ; H1 : μ1 > μ2

T score = 5.3 ; Pvalue = < 0.0001

The decision region :

If Pvalue < α ; We reject the Null

If Pvalue > α ; We fail to reject the Null

When the α - level isn't stated, we usually assume a α - level of 5%

However, even at lower alpha level of 1% = 0.01 ;

The Pvalue < α

Hence, we can conclude that there is significant evidence that there is difference in the mean weight of young men and old men in the U.S

9​. Susan wants to paint a room in her house. After measuring the walls, the total area is 532 square feet. A gallon of paint covers 150 square feet. Each gallon of paint costs $35. How much will it cost to paint the room? ​Show your work using unit fractions!

Answers

Answer:

will look into this answer

do this for me? helppp all my point

Answers

Answer:

do u want me to find the perimeter? area? or volume?

Which number is irrational

Answers

Answer:

the answer is ((((B))))

hope it helps❤

Answer:

B

Step-by-step explanation:

All the other choices give you rational numbers

It takes 36 nails to make 4 chairs.
How many nails are needed to make 9 chairs?
A. 72
B. 81
O c. 144
O D. 162
O E. 324

Answers

Answer:

36/4=9 so each chair takes 9 nails so 9*9=81

B:81

What is the length from Alaska to Chicago times 5 divided by 3?

Answers

Answer:

14302 miles

Step-by-step explanation:

from alaska to chicago it is 2861 mi.

2861 times 5

that divdied by three is 14302

1.11. There are 37 girls and 39 boys going on a field trip with the drama club. At least 1 adult for
every 6 students will also go on the trip. Which correctly explains how to find the number of
adults needed for the trip?
(

Answers

Answer:

C

I have done the math on a calculator. :p

Answer:

C

Step-by-step explanation:

First you Just Divide

and the remainder

will be R4 and it's 76÷6

Factor the expression (x+4)^2-4y^5(x+4)+4y^10

Answers

if you factor this,
it is (x+4-2y^5)^2

25 Point Reward please help

Answers

Answer:

I think its 75

Step-by-step explanation:

I am honestly not very sure myself but I did really do this

My cousin made 50 muffins and brought 3/5 of them to work how many did she leave at home?

Answers

Answer:

20

Step-by-step explanation:

To find how many she took to work you do (3/5) * 50 which is equal to 30

That means she took 30 to work leaving 20 muffins left at home.

What is the value of 4 + 5x when x = 3?

A: 11
B:12
C:17
D:19

Answers

Answer:

the answer is D) 19

Step-by-step explanation:

5×3=15

4+15=19

D is the correct answer
Other Questions
23 please help thanks no link or i will report is 2.65 = 53/20 true or false and show work is it required to pay for class dues in high school? find the value of y in the diagram below. what is Alexander Hamilton's opinion on establishing a national bank? What type of graph would you use for a set of numerical data with a range of 90, from 5 to 95, where you wanted to find the typical data value?pictographline graphbar graphstem-and-leaf plot HELPPPPPPPPPPPPPPPPPPPPPPP What common characteristics existed in countries that industrialized? Sharon sells her doll collection online for $245. She budgets $23 of the money for bedroom decorations and $145 for the monthly payment on her clarinet. Her budget also includes $68 for books and $42 for music. Which is a true statement about Sharons budget? Answers:Sharon will have a balanced budget.Sharon will have a budget defi cit of $133.Sharon will have a budget surplus of $33.Sharon will have a budget defi cit of $33.help pls lol Which quadrilaterals always have two pairs of congruent angles? Find the perimeter of the figure. Can anyone explain how you graph things for example, like y=x-4 how would you graph that describe how television coverage of events during the civil rights movement contributed to its success. Find the length of x. Find the area of the polygon with E(-3,2), F(1,5), G(5,-1), H(1,-5).Someone please help having a lot of trouble with this question :....( thanks. PLEASE HELP!! ILL MARK BRAINLYEST!!Which graph is best to show categorical data?A. box-and-whisker plotB. line graphC. scatter plotD. circle graph A patient who recently became immobilemay struggle with getting used to limitations.should always be moved in a wheelchair.O likely requires a significant increase in calcium.O likely has pain from an assistive device.Oshould always be moved in a wheelchair.O may struggle with getting used to limitations. - should always be moved in a wheelchair is wrong . 2. Alin sa sumusunod ang hindi kabilang sa dahilan ng pagsakop ng mga Espanyol sa bulubundukin ngLuzon?A. gintoC. kristiyanismoB. tributoD. monopolyo ng tabako Expressions equivalent to 3^10 In ADEF, the measure of measure of ZD to the nearest degree.E52XFD14