Find a formula for the n th term, T n , of the following arithmetic sequence: 13 , 17 , 21 , 25 , . . . Hence, or otherwise, find the value of the 40th term, T 40 .

Answers

Answer 1

Answer:

            tₙ = 4n + 9             t₄₀ = 169

Step-by-step explanation:

17-13=4 and 21-17=4 and 25-21=4  so d=4

[tex]t_n=t_1+d(n-1)\\\\t_1=13\\d=4\\\\t_n=13+4(n-1)\\\\t_n=13+4n-4\\\\\underline{t_n=4n+9}[/tex]

[tex]t_{40}=4\cdot40+9=160+9=169[/tex]


Related Questions

Find the inverse of the function. *
g(x) = VX-3
A.g-1(x) = (x - 3)2
B. 9-1(x) = 3 + x
C.g-1(x) = (x + 3)2
D.9-1(x) = 3 - Vx

Answers

Times 3 so mutpliy 3

Please help me with these two questions I hate math

Answers

Answer:

18. b

19. b

Step-by-step explanation:

I have been on these problems all day and no one answered by question(truthfully) so here are my questions....also i will give u brainliest,a lot of points,and a thanks,and a 5 star rating :)

Please help me

Answers

Answer:

1. 1/2

2. 3

3. 2/3

4. y = 3x

5. y = 3x

Step-by-step explanation:

You count the rise/run for the first three, and for the last two use the slope formula. (13-4)/(5-2) = 9/3 = 3

I'm not sure if you need to add an "x" or not for pictures 1-3

For pictures 4 & 5, I can't tell where the line intersects the y-axis, so I cannot determine the y-intercept. So sorry that they are only partial answers!

Answer:

Step-by-step explanation:

1.

slope=rise/run=2/4=1/2

2.

slope=rise/run=6/2=3

3.

take any two points passing through corners of squares.

slope=rise/run=2/3

4.

slope=(13-4)/(5-2)=9/3=3

5. same as 4.

I will mark brainliest!

Please help I’m giving extra points !!!



2 questions ( look at the photo below and answer that one as well)

1) the weight of an object of the earth varies directly as the same object on the moon . An 400 pound object will weigh 60 pounds on the moon . How much would an 80 pound object weigh on the moon?

1) 20

2)8

3)14

4) 12


Answers

Answer: it 3

Step-by-step explanation:

What is the slope of the line that passes through the points (10, 3) and (2, 3) ?

Answers

Slope: (y2-y1)/(x2-x1)
(3-3)/(2-10) = 0/-8 = 0
The slope is 0
Answer:  slope = 0

Work Shown:

Use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (3-3)/(2-10)

m = 0/(-8)

m = 0

The slope of any horizontal line is always zero due to the fact all y coordinates on this line are the same. When we pick two points from the line, the same y coordinates subtract to 0. We can have 0 in the numerator, but not in the denominator.

As the slope formula shows, we basically subtract the y coordinates together, and do the same for the x coordinates as well in the same order. Then we divide the differences.

imagineaza ti o intamplare fantastica din timpul unei calatorii si redacteaza o naratiune de 100-150 de cuvinte in care sa prezinti. In compozitia ta.este necesar:-sa relatezi intamplarea,respectand succesiunea logica a evenimentelor; -sa prezici repele spati-temporale; -sa ai un continut adecvat cerintei; - sa respectti precizarea privind numarul de cuvinte

Answers

the answer is 50 maybe

WILL GIVE BTAINLY Which is the coldest temperature? Explain how you determined this using the number line.

A -3.5 F
B 5 F
C 1.5 F
D -0.5
E -2 F
the rest of the choices 2.5 and -4

Answers

Answer:

-3.5 it is negative.

please help im struggling so badly

Answers

Answer:

100

Step-by-step explanation:

j

PLEASE BRAINLIEST AND 50 POINTS PART 1 Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office, her brother's height is 4 feet, 2 inches.

Which measurement should be considered the actual height?

Answers

Because the doctor actually measures his height. The height of 4 feet 2 inches should be considered the actual height.

Please help me with this for real it's due today and I'm so lost

Answers

Step-by-step explanation:

y= mx +C

So m, that is the slope of line will be 2.

Now the slope of required line will also be 2.

We can write

(y- (- 1)) =2 (x-(-4))

y+1 = 2(x+4)

y=2x+7

Find the value of X. Then find a measure of each labeled angle.
x=
5x=
13x=

Answers

The answer is

X=10

5x=50

13x=130

please solve
x+2y<-6

Answers

Answer:

Starting with the equation x+2y=6 and subtracting x from both sides gives 2y = -x + 6. If we then divide each term by 2, we get the final result of y = -1/2x + 3. Here we see that the slope (m) is equal to -1/2, and the y-intercept (b) is 3

Step-by-step explanation:

26 + 3 x 8^4. I need help pls

Answers

Answer:

32

Step-by-step explanation:

Answer:

6577

Step-by-step explanation:

nn

What are two ways you can find the measures of <7

Answers

Answer: what is angle 7 and is there any other given info?

Answer:

if i read it correctly 1<7 and 5<7

Step-by-step explanation:

??

Julio ​says, If you subtract 18 from my number and multiply the difference by −4​, the result is −20​. What is Julio​s ​number?

Answers

Answer:

Julio's number is 40

Step-by-step explanation:

"If you subtract 17 from my number and multiply the difference by negative 4​, the result is negative 92​.

n= number

(n-17)*(-4) = -92

distribute

-4 *n - 17*(-4) = -92

-4n +68 = -92

subtract 68 from each side

-4n +68-68 = -92 -68

-4n = -160

divide each side by -4

-4n/-4 = -160/-4

n = 40

Two similar triangles are shown on the coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle PQR is shown with vertex P on ordered pair negative 4, 2, vertex Q on ordered pair 0, 0, and vertex R on ordered pair 2, 6. A triangle P prime Q prime R prime is also shown with vertex P prime on ordered pair negative 2 and negative 1, vertex Q prime on ordered pair 0 and 0 and vertex R prime on ordered pair 1 and negative 3.

Which set of transformations has been performed on triangle PQR to form triangle P'Q'R'?

Dilation by a scale factor of fraction 1 over 2 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the x-axis
Dilation by a scale factor of fraction 1 over 2 followed by reflection about the y-axis
Dilation by a scale factor of 2 followed by reflection about the y-axis

Answers

Answer: Answer: A dilation factor of 1 over 2

Step-by-step explanation:

The smaller polygon is half the size of the original polygon

Answer:

Dilation by a scale factor of fraction 1 over 2 followed by reflection about the y-axis

Step-by-step explanation:

If hot and cold water taps are turned on altogether, a bath is filled in three minutes but if the cold tap was only half opened it would take one minute forty eight seconds longer. How long would the hot tap alone take to fill the bath?

Answers

9514 1404 393

Answer:

  12 minutes

Step-by-step explanation:

Let c and h represent the filling times for the cold and hot taps, respectively. When the cold tap is 1/2 open, we presume that means the filling time becomes 2c.

In terms of baths per minute, the relationships are ...

  1/c + 1/h = 1/3

  1/(2c) +1/h = 1/(3 +1.8) . . . . . 1:48 min:sec is 1.8 minutes

Subtracting the first equation from twice the second, we get ...

  2(1/(2c) +1/h) -(1/c +1/h) = 2(1/4.8) -(1/3)

  1/h = 2/4.8 -1/3 = 1/12

  h = 12

It takes the hot tap 12 minutes to fill the tub alone.

4x – 2y = 2
x = y + 4

Answers

Answer:

y = -7 and x = -3

Step-by-step explanation:

Substitute x for y + 4 in the first equation and solve for y

4(y+4) - 2y = 2

4y + 16 - 2y = 2

16 + 2y = 2

2y = -14

y = -7

Then in order to find x, substitute y for -7 in the second equation

x = -7 + 4

x = -3

Answer:

x= -3, y= -7

Step-by-step explanation:

substitute x=y+4 in the first equation

4 (y+4) -2y =2 distribute

4y+16-2y=2 subtract both sides by 16

4y-2y=2-16 combine like terms

2y= -14 divide both sides by 2

y=-7

x=y+4 substitute y=-7

x= -7+4

x= -3

Jennifer walks 9 blocks south and 5 blocks west. Approximately how many blocks is she from home if she were to take a direct path?

Answers

9514 1404 393

Answer:

  10.3

Step-by-step explanation:

Assuming the blocks are square, we can use the Pythagorean theorem to find the diagonal distance.

 d² = 9² +5² = 81 +25 = 106

 d = √106 ≈ 10.3

Jennifer is about 10.3 blocks from home.

A music store marks up the instruments it sells by 30%/ If the store bought a guitar for $45, what will be its store price?

Answers

$58.5

PLEASE MARK ME BRAINLIEST

What is the value of the expression (5)^3​

Answers

Answer:

the answer is 125.

Step-by-step explanation:

hope this helps!

Answer:

x = -125

I got it right

A new law has support from some Democrats and some Republicans. This two-way frequency table shows the proportion from each political party that does or does not support the new law. Which conclusions can be made from this table? Select each correct answer. For both parties, more members do not support the law than support the law. Among Democrats, a larger percentage do not support the law than support the law. More Republicans support than the law than do not support the law. Compared to the Republicans, the Democrats have a larger percentage of members who support the law.

Answers

Answer:

Step-by-step explanation:

Political parties are organized groups of people with similar ideas or ideology about the function and scope of government, with shared policy goals that work together to elect individuals to political office, to create and implement policies, to further an agenda, and to gain control of the government and the policy-making process. Parties gain control over the government by winning elections with candidates they officially sponsor or nominate for positions in government. Political parties nominate candidates to run many levels of government including the national level, Congress, and the presidency; but, they nominate for state and local levels as well. They also coordinate political campaigns and mobilize voters.

Political parties are points of access/linkage institutions available to the public, though they are not themselves government institutions. Neither interest groups nor political parties are directly mentioned in the U.S. Constitution. Where interest groups often work indirectly to influence our leaders, political parties are organizations that try to directly influence public policy through nominating and officially sponsoring members who seek to win and hold public office. This is a key difference. Interest groups do not officially nominate or nominate candidates for public office, although they may support them politically and even contribute dollars to their campaign.

Parties accomplish this by identifying and aligning sets of issues that are important to voters in the hopes of gaining support during elections. In this respect, parties provide choices to the electorate, something they are doing that is in sharp contrast to their opposition. These positions on these critical issues are often presented in campaign documents or political advertising. During a national presidential campaign, they also frequently reflect the party platform, which is adopted at each party’s presidential nominating convention every four years.

If successful, a party can create a large enough electoral coalition to gain control of the government. Once in power, the party is much more likely to be able to deliver, to its voters, the policy preferences they choose by electing its partisans to the government.Political parties organize political campaigns to win public office for those they nominate.

link to learning

For f(-6) = 22 , identify the input and the output.

Answers

Answer:

Step-by-step explanation:

Input is - 6 and Output is 22.

3+8(2)-5
The answer choices are
8

22

14

17

Answers

Answer:

the answer is 14 I think,hope that helps!

HELP!!!! I WILL MARK YOU BRAINLIST

Answers

Answer:

k= 12 x= 5

Step-by-step explanation:

What is the binomial expansion of (2x – 3)5? (2x)5 – 15(2x)4 + 90(2x)3 – 270(2x)2 + 405(2x) – 243 (2x)5 + 15(2x)4 – 90(2x)3 + 270(2x)2 – 405(2x) + 243 (2x)5 + 15(2x)4 + 90(2x)3 + 270(2x)2 + 405(2x) + 243 2(x)5 – 30(x)4 + 180(x)3 – 540(2x)2 + 810(x) – 243

Answers

Answer:

c

Step-by-step explanation:

just got it correct

The value of binomial expansion of expression (2x - 3)⁵ is,

⇒ (2x)⁵ – 15(2x)⁴ + 90(2x)³ – 270(2x)² + 405(2x) – 243

We have to given that;

The expression is,

⇒ (2x - 3)⁵

Now, We know that;

The formula of binomial expansion is,

⇒ (x + y)ⁿ = (ⁿ₀) xⁿy⁰ + (ⁿ₁) xⁿ⁻¹y¹ + (ⁿ₂) xⁿ⁻²y² + ...... + yⁿx⁰

Hence, The value of binomial expansion of (2x - 3)⁵ is,

⇒ (2x - 3)⁵

⇒ (2x + (- 3))⁵

⇒ (2x)⁵ – 15(2x)⁴ + 90(2x)³ – 270(2x)² + 405(2x) – 243

Thus, The value of binomial expansion of expression (2x - 3)⁵ is,

⇒ (2x)⁵ – 15(2x)⁴ + 90(2x)³ – 270(2x)² + 405(2x) – 243

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Cual es la fracción de 0.7

Answers

Answer:

La fracción de 0.7 es 7/10

PLEASE HELP ASAP!!!-

And the number is ______

a number formed with straight lines only.

a number with only one of its digits are greater than 4.

a 2-digit odd number.

a number found as the date each month on the calendar.​

Answers

Answer:

43

Step-by-step explanation:

I think if I am wrong so sorry

RuthAnn is 28 years old and is retiring at the age of 65. When she retires, she estimates that she will need an annual
income of $32,523 for 30 years. If RuthAnn contributes 11% of her annual income to a 401(k) paying 7.1% compounded
annually, will she reach her goal for retirement given that her annual income is $36,278.13? If she does not make her goal
then state by what amount she will need to supplement her income. Round all answers to the nearest cent.
a. RuthAnn will meet her annual goal of exactly $32,523 for retirement.
b. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
C. RuthAnn will not make her annual goal of $32,523 and will need $1,039.85 to supplement her
yearly income when she retires.
d. RuthAnn will not make her annual goal of $32,523 and will need $10,395.80 to supplement her
yearly income when she retires.

Answers

Answer: It is B. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.

Step-by-step explanation:

Please help me solve question 2. Ignore my handwriting

Answers

Answer:

Step-by-step explanation:

7 x 6 x 4 x 4 x 3= 2016

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