Write an
explicit formula for an, the nth term of the sequence 21, 27, 33, ....

Write Anexplicit Formula For An, The Nth Term Of The Sequence 21, 27, 33, ....

Answers

Answer 1

Answer:

Step-by-step explanation:

Remark

This is an arithmetic series. Each term differs by 6 from the previous one.

Givens

a1 = 21

d = 6

Formula

a_n = a1 + (n - 1)*d

Sample

Try it.

Let's let n = 3 which we have the answer for.

a_3 = 21 + (3-1)*6

a_3 = 21 + 2 * 6

a_3 = 21 + 12

a_3 = 33

That's exactly what the 3rd term is.


Related Questions


Given a sphere with a radius of 2 cm find its volume to the nearest whole number.

A 17 cm

B.3cm

C. 33 cm

D. 3 cm

Answers

D for sure it is Bc the whole number

Damian’s computer repair shop earned $2,500 in income last week. Expenses were $2,750. What was Damian’s profit or loss for the week?

Answers

Answer:

2500-2750 = - 250

hence,he lost $250

how do you calculate the midpoint of question e)? I am very desperate. please help

Answers

Answer:

(-1,-1)

Step-by-step explanation:

Midpoint equation: [tex](\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})[/tex]

= [tex](\frac{-5/2+1/2}{2},\frac{-1/2-3/2}{2} )[/tex]

= [tex](\frac{-2}{2},\frac{-2}{2})[/tex]

=(-1,-1)

Use the formula and plug it in :)

5. A ladder 17 m long reaches the window of a building 15 m above
the ground. Find the distance of the foot of the ladder from the
building
Hint. Let AB be the ladder, CB be the building and B be the
window.
15 m
Then, AB = 17 cm, BC = 15 m, find AC.)

Answers

Answer:

8 m.

Step-by-step explanation:

Use the Pythagoras theorem

17^2 = 15^2 + AC^2

AC^2 = (17-15)(17+15) = 2 * 32

AC^2 = 64

AC = 8 m.

Which set of values makes the inequality x + 2 ≥ 0 true?

Answers

Answer:

-2

Step-by-step explanation:

What is the length of AB? A.2.59 B.9.66 C.10.35 D38.64

Answers

Answer:

what

Step-by-step explanation:

is the questionn

ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
Please answer the following essay question:
An isosceles triangle has two congruent angles. Write an expression to represent the measure of the third angle of the triangle. Explain.

Answers

Answer:

third angle =180-two congruent angles. is expression.

Please help.............:)

Answers

Answer:

easy lol

Step-by-step explanation:

add me on sñap my ID is: arshad2623f

please i just wanted to make friends cuz I'm alone BTW I'm 15yo

Answer:

What is y,t and z?

Step-by-step explanation:

A) 7xy?
Degree and number of terms

Answers

Answer:

1 and 1

Step-by-step explanation:

degree of 1 and 1 term.

Last year, Diane opened an investment account with S6400. At the end of the year, the amount in the account had increased by 26%.
(a) Fill in the blank to write the year-end amount in terms of the original amount. Write
your answer as a decimal.
Year-end amount =. XOriginal amount
(1) Use your answer in part (ə) to determine the year-end amount in Diane's account
Year-end amount: $

Answers

Answer:

Your answer is.....

8064$

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

A book sold 32,100 copies in its first month of release. Suppose this represents 9.3% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.​

Answers

Answer:

Your answer.

345161.29

Thank you. And give my answer as Brainlist answer. Follow me for more

Step-by-step explanation:

Answer:

345,161

Step-by-step explanation:

It means that [tex]32,100=.093x[/tex].  Divide each side by .093, and you get 345,161, dropping the decimal, since you can't sell a fraction of a book.

please help and quick cause im giving a lot of points

Answers

Answer:   it might be C let me know if im wrong

Step-by-step explanation:

what is the answer to 2 (r-4)+5(r+2

Answers

Answer:

7r + 2

Step-by-step explanation:

I hope this helps have a great day

Multiply 2 by (r-4) we will get
2r-8
Then multiply 5 by (r+2)
5t+10
Let’s sum them
(2r+5r)+(10-8)
Which is equal
7r+2

The question is 3(2x +4) = 6x + 10

Answers

Answer:

no solution

Step-by-step explanation:

when you distribute, the 6x on each side cancel out leaving there to be no solution to the problem. I attached a photo of my work as well.

Answer:

The answer is False meaning it's no solution

Step-by-step explanation:

1. Distribute 3 through the parentheses which will be 6x+12=6x+10

2.Cancel equal terms on both sides of the equation and you will get 12=10 which isn't a true statement.

HELP PLEASE ASAP

Given the discriminant of –2 for a quadratic equation, determine the number of real solutions.

Answers

Answer:

0 or simply no real solutions

Step-by-step explanation:

Given the discriminant which is negative, then the equation has no solutions in the set of real numbers. The roots or solutions belong to the set of complex solutions or imagenary roots.

Simplify the followimg
(1 1/2) ^-2 step by step explanations plzzzzzzzz ​

Answers

Answer:

4/9

Step-by-step explanation:

sorry if wrong i don't know how to explain it also

Answer:

Convert 1 1/2 to an improper fraction.

3/2⋅2

Cancel the common factor of 2.

3

Solve for y : y/2 - 5= -11 (I need help I’m a bit confused).

Answers

y/2 - 5 = -11
multiply each side by 2
y - 10 = -22
add 10 to both sides
y = -12

a coin is tossed several times and the ratio of the head to tails is 24:26. What Fraction of Tosses are heads?

Answers

Answer:

siiiiiiiiii

Step-by-step explanation:

jake scored 2 goals in soccer this season. jamie scored 4 times as many goals as jake. Edgar scored 3 times as many goals as jamie. How many goals did Edgar score?

Answers

Answer:

24

Step-by-step explanation:

2x4 = 8 8x3 = 24 so edgar has 24 goals

Answer: 24

Step-by-step explanation:

Jake scored 2

Jamie scored 4x2=8

Edgar scored 8x3=24

Expand- 2.5( - 3+ 4n + 8)

Answers

Answer:

10n + 12.5

Step-by-step explanation:

b+1/3=2 Plz I need it, I will give you brainiest

Answers

Answer:

[tex]1\frac{2}{3} [/tex]

Answer:

b = 5/3

Step-by-step explanation:

Ok so,

b + 1/3 = 2

b + 1/3 - 1/3 = 2 - 1/3

now you have to find the common denominator which in this case is 3. so you multiply 2 with 3 giving you six so it should look like this

b = 2/3 - 1/3

b = 1/3

i already checked...its right

i hope this helps. have a good day!

Debra made $228 for 12 hours of work.
At the same rate, how many hours would she have to work to make $323?

Answers

Answer:

17 hours

Step-by-step explanation:

Set up a proportion: [tex]\frac{12}{228} = \frac{x}{323}[/tex]  Cross multiply, then divide: 12 × 323 = 3876, 3876 ÷ 228 = 17So, she would have to work 17 hours to make $323.

I hope this helps!

4 Eric sketches a rectangle with a perimeter of
90 inches. The length of the rectangle is three
inches longer than the width. Which equation
can be used to determine x, the width of the
rectangle Eric sketched?
F 2x + 2x + 3 = 90
G 2(x + 3) = 90
H x(x + 3) = 90
J 2(x) + 2(x + 3) = 90

Answers

Answer:

2(x) + 2(x + 3) = 90

Step-by-step explanation:

Width: x inch.

Length: (x + 3) inch.

P = 2 [tex]w^{}[/tex] + 2 [tex]l^{}[/tex]

P = 2(x) + 2(x + 3) = 90

What is the value of x?

Answers

Answer:

jhg hstu35kk4t6ek

3tnk63e6oktelrt

Step-by-step explanation:

4n5kdti3eo5

What is the slope of the line that passes through the points (3, -20) and (11, 16)?
please I'm being timed

Answers

Answer:

9/2

Step-by-step explanation:

(3, -20) & (11, 16)

To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(16 - (-20)) / (11 - 3)

Simplify the parentheses.

= (36) / (8)

Simplify the fraction.

36/8

= 9/2

9/2 is the most simplified fraction. This is your slope.

Hope this helps!

-30=5(x+1) x=?

please help ​

Answers

Answer:

x = -7

-30 = 5(x + 1)

5(x + 1) = -30

5(x + 1)/5 = -30/5

x + 1 = -6

x + 1 - 1 = -6 -1

x = -7

Why do economists use market values when calculating GDP?

Answers

Answer:

Economists use market values when calculating GDP, because if they used quantity terms, they would have multiple units of measurement. Whereas, when they use market values, they have one unit of measurement for all products and services.

Step-by-step explanation:

I’ll give the Brainliest to who answers these questions with a reasonable explanation.

While surfing the Internet, you find a site that claims to offer “the most popular and the cheapest DVDs anywhere.” Unfortunately, the website isn’t clear about the how much they charge for each DVD, but it does give you the following information:
(The information is the table up there)

a. What is the slope of the line containing the points?

b. What does the slope represent in this problem?

c. What is the y‐intercept of the line that contains the points?

d. What does the y‐intercept represent in this context?

e. What is the equation that represents the line?

Thank you.

Answers

Answer:

Answer:

a. 9

b. The slope represents the cost for every new DVD

c. 6

d. The song represents the base price, or the price that it would cost for 0 DVDs

e. y = 9x + 6

Explanation:

I made a graph on a piece of graph paper and these were the answer I got.

The church's goal for the fundraiser was $18,000. They exceeded their goal by 8%. How much money did they raise?

Answers

Answer:

Step-by-step explanation:

18000(1+8/100)

18000(108)/100

19440

2x2– 21x = 11 what would the x be

Answers

Answer:

x = -1/3

Step-by-step explanation:

The X would be -1.7
Other Questions
A line segment has an endpoint at (-7, 11) and (-6, 4), what is the length ofthe segment? the map was made using data collect by satellite imaging equipmentwhich two regions have the coldest land surface temperature according to the map?a. region 4 b. region 2c. region 1d. region 3its multiple choice PLEASE HELP!! Find the 14th term of the sequence: 2,4,8,16... hi please help ill give brainly but please show your work. People with certain conditions such as diabetes, asthma, arthritis, or high-blood pressure need to take extra precautions when exercising. Please describe some specific ways that people with each of these conditions may need to alter their exercise routine in order to remain healthy and safe. please answer quickly i will give brainliest! How is the messengers news good and bad? Match each term with its definition.A. Corporate Social ResponsibilityB. Corporate governanceC. EthicsD. The International Organization for Standardization 1. Businesses living and working together for the common good and valuing human dignity 2. Created a variety of standards that help organizations gain international acceptance of their practices and outcomes.3. The oversight of a public corporation by its board of directors.4. Bullying may not be illegal, but many companies have enacted policies prohibiting such incivility and abusive behavior in the workplace. Order these lines from the steepest to the least steep. Using a modern steel with the same weight of material, you can support _____times the load. what is the factor expression of 12p+30 Compute the scale factor, as a percent, for each given relationship. Drawing 1 to Drawing 2.A) 210%B) 47.61%C) 2.1 D) 0.47169Need help and fassttttttt!!!!!plzzz f(x) = 200(1Bhhhhhhhhhhh The following information is available pertaining to Bonita Division, that uses a plant-wide overhead rate based on machine hours: Mixing Dept. Finishing Dept. Total Overhead $30,000 $60,000 $90,000 Direct labor-hours 7,500 2,500 10,000 Machine-hours 2,500 7,500 10,000 Production information pertaining to Job 101: Mixing Dept. Finishing Dept. Total Prime costs $5,000 $0 $5,000 Direct Labor-hours 250 0 250 Machine-hours 10 10 20 Units produced 500 0 500 What are the total overhead costs assigned to Job 101 Which subordinating conjunction best fits the meaning of the sentence below?He left the party early _______ he realized that none of his friends were coming.Select one:ifafterbeforeuntil humanities work a sentence using the word reconstruction Why are all of us considered scientists to some extent?O A. Everyone has questions about the natural world.O B. Everyone writes and tests hypotheses.O C. Everyone takes measurements and collects data.O D. Everyone performs scientific experiments. Can someone help me with the 3rd and 2nd question? 24 37x - 72[tex]24 - 37x - {72}^{2} [/tex]. factorise it please help me and thank you PLZZZZZ HELP AND HURRRRRY!