Write an explicit formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 6, 12, 18, '

Answers

Answer 1

Here , we need to find a formula for nth term of the sequence 6 , 12 , 18 , .....

Now , here if you notice carefully ,then you can notice that 12 - 6 = 6 and 18 - 12 = 6 , So the given sequence is an AP ( Arithmetic Progression ) with common difference being 6 , first term being 6 , so now as we know that :

[tex]{\boxed{\bf{a_{n}=a+(n-1)d}}}[/tex]

Where , [tex]\bf a_n[/tex] is nth term of AP , [tex]\bf a[/tex] being first term while [tex]\bf d[/tex] is the common difference . So , now putting the values in above formula ;

[tex]{:\implies \quad \sf a_{n}=6+(n-1)6}[/tex]

[tex]{:\implies \quad \sf a_{n}=6+6n-6}[/tex]

Cancelling 6 will yield :

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{a_{n}=6n}}}[/tex]

Henceforth , nth term of the sequence is 6n


Related Questions

anybody know how to do this onee

Answers

[tex]volume \: = base \: area \: \times height[/tex]

[tex]volume = ( \frac{3}{4} \times \frac{1}{2} ) \times \frac{5}{8} \\ [/tex]

[tex]volume = \frac{3}{8} \times \frac{5}{8} \\ [/tex]

[tex]volume = \frac{15}{8} \\ [/tex]

Answer:

0.23

Step-by-step explanation:

The equation for finding the volume of a cube is

length x width x height

so you need to multiply 5/8 by 1/2.

This will give you 5/16.

Now multiply 5/16 by 3/4.

This will give you 15/64 , which in decimal form will be your answer 0.23

Hope that helps!

If you spin the spinner 6 times, what is the best prediction possible for the number of times it will land on green or yellow?

Answers

Answer:

2:6

Step-by-step explanation:

You spin it 6 times, you have a chance of getting two options

^^ this is a guess but it seems pretty reasonable

The best prediction possible for the number of times the spinner will land on yellow if it is spun 6 times is 1.

How to solve probability?

If the spinner has 12 equal parts and 2 of them are yellow, then the probability of the spinner landing on yellow is 2/12, or 1/6. This means that out of every 6 spins, we can expect the spinner to land on yellow once.

To find the best prediction for the number of times the spinner will land on yellow if it is spun 6 times, we can use the idea of expected value. The expected value of an event is the average value we would expect to see if the event were repeated many times.

Expected value = Probability of yellow x Number of spins

Expected value = (1/6) x 6

Expected value = 1

This means that out of 6 spins, we can expect the spinner to land on yellow approximately 1  times on average.

To know more about probability visit :-

brainly.com/question/24756209

#SPJ2

need help with thiss

Answers

There are 10 sides that are equal to [tex]2a^{3} +a^{2} - a[/tex], and 2 sides equqal to [tex]4a^{4}[/tex]

Perimeter : [tex]20a^{3} + 10a^{2} - 10a + 8a^{4}[/tex]

Hello!

10 (2a³ +a² -a) + 2 ( 4a^4)

= 20a³ + 10a² -10a + 8a^4

= 8a^4 +20a³ -10a² -10a

HEY CAN ANYONE PLS ANSWER DIS!!!!!!

Answers

Answer:

150 miles

Step-by-step explanation:

Rent amount per x miles

Company A

90 + 0.2x

Company B

60 +0.4x

Finding the value of x

90 + 0.2x = 60 + 0.4x0.4x - 0.2x = 90 - 600.2x = 30x = 30/0.2x = 150 miles

help
I cant solve this question

Answers

Answer:

8 because if you add 1 ×8 you will get the answer 8

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think it is C.2920

Answer:

I think it is E 3000

because area of a triangle is

1\2 base * height

base = BC = 120

height = AH = 100

120\2 = 60

60 * 100 = 6000

6000\2 = 3000

Which relation is a function?

Answers

Answer:

B

Step-by-step explanation:

It’s either b or A pick one of these

The perimeter of a rectangular painting is 324 cm.
If the length of the painting is 87 cm, what is its width?

Answers

Answer:

The width is 75.

Step-by-step explanation:

First you divide 324 by 2, because the formula is: 2(l + w)

324 ÷ 2 = 162.

Then I would subtract 162 by 87 because of the formula. (To find out width)

162 - 87 = 75

The width is 75.

You can double check by in-putting them into the above formula.

2(75 + 87) = 324

what is the circumference of a circle with the radius of 5 cm use 3.14 for pi​

Answers

Answer:

31.42cm

Step-by-step explanation:

A restaurant manager states the number of customers that enter the restaurant is equal to 4 times the number of people that buy a hotdog from the hotdog cart plus 9. The manager also states that the number of customers that enter their restaurant is equal to 3 times the number of people that buy a hotdog from the hotdog cart plus 35. What number of people buying a hotdog from the hotdog cart across the street makes the equation 4x+9=3x+35 true? Round your answer to the nearest whole number.

Answers

Answer:

26 customers

Step-by-step explanation:

Represent customers entering as y and those buying hot dogs as x

[tex]y = 4x + 9[/tex]

[tex]y = 3x + 35[/tex]

Required

Determine the number of people buying hotdogs (x)

Substitute 4x + 9 for y in the second equation

[tex]4x + 9 = 3x + 35[/tex]

Collect Like Terms

[tex]4x - 3x = 35 - 9[/tex]

[tex]x = 26[/tex]

Increase 268 by
by 75%​

Answers

Answer:

268 increased by 75% of its value = 469

Step-by-step explanation:

hope this helps :))

The number when 268 is increased by 75%​ will be 469.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Let 'n' be the increased number. Then the equation is given as,

75% = [(n - 268) / 268] x 100

Simplify the equation, then we have

0.75 = (n - 268) / 268

n - 268 = 201

n = 201 + 268

n = 469

The number when 268 is increased by 75%​ will be 469.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

What are the solutions to the equation?

x^2 + 6x = 40

Answers

The solutions are x=4,-10

(x-4)(x-10)=0

Answer this if you need points :)

Answers

i need points lol .!! brainliest ??

hi                                                             bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Find the sale price when the original price is $91.00 and the discount rate is 13%

Answers

Answer:

$79.17

Step-by-step explanation:

91.00 x 0.13= 11.83 (the discount)

91.00-11.83= $79.17 (the sale price)

Answer: $71.17

Step-by-step explanation: If 91 is the original price and the discount rate is 13%, 13% of 91 is being taken off and 87% is remaining, to find the 87% that's remaining multiply the original (91) by the the remaining percent(87%).91 x .87=71.17

87%-->.87

87x.01=.87

To find the decimal form of a percentage multiply the percentage by .01.

Annie set her watch 11 seconds behind, and it falls behind another 1 second every day.
How many days has it been since Annie last set her watch if the watch is 29 seconds
behind?

Answers

Answer:

18 days

Step-by-step explanation:

what is a adjacent angles???

Answers

Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. Angle ABC is adjacent to angle CBD. Because: they have a common side (line CB)

Answer:

Two anglebare Adjacent when they have a common side and a common vertex (corner point) and don't overlap.

Will anyone help me for 18 points?

Answers

Answer:

use cymath it helps with math I use it all the time

Answer:  [tex]2x^{3} - x^{2} - 7x + 2[/tex]

Step-by-step explanation:

See the attached image.


please help me please hop

Answers

f(-4) = 2

since the line passes through the point (- 4 ; 2)

point ( x ; f(x) )

In Reggie's class, 75% of the students brought their lunches on
Monday. If 21 students brought their lunches, how many students
are in the class in all?

Answers

Answer:

28 students

Step-by-step explanation:

The easiest way to solve this would be to set up an equation.

We can start by naming x the number of students in Reggie's class.

Therefore, our equation would be:

0.75x=21

We can get this by knowing 75% of the students brought their lunches, and there were 21 students that did.

75% is equivalent to 75/100 which is 0.75.

Next, we can solve the equation.

0.75x=21

To do this, we have to isolate x.

We need to reverse the multiplication with division.

We can do this by dividing both sides by 0.75 (What you do to one side you must do to the other)

0.75x/0.75=21/0.75

x=28

This means that there are 28 students in the class.

Step-by-step explanation:

In Reggie's class, 75% of the students brought their lunches on

Monday. If 21 students brought their lunches, how many students

are in the class in all?

28 students

What is the value of q/ 6+(12−r), when q = 4 and r = 38?
A 7/ 12
B 14/ 19
C 19/ 24
D 21/ 25

Answers

Answer:

the answer to the value of the question is 21/25

What are the coordinates of the point that is 2/5 of the way from A(3,-2) to B(3,13) ?

Answers

Answer:

3,9

Step-by-step explanation:

What is the volume of a rectangular prism with dimensions of 7, 3, and 2?

Answers

Answer:

volume of a rectangular prism = length * breadth* width = 7*3*2= 42

Determine the number of arrangements for the letters of the word GOALIE.

Answers

Answer:

555

Step-by-step explanation:

o For students the
Reprezenty Proportional leationships. Quite Level
Mooket durre
to
Question 6
The graph represents how much money Emma makes selling
bracelets. The table shows how much Jack makes selling
comic books. Which statement is true?
20
10
16
14
12
Jack's Comics Sales
Number of Amount of
Comic Books money ($)
Bracelets cost moro
than comic books.
2
Amount of money ($)
7
10
3
10.5
O Bracelets are the
same price as comic
books.
6
5
17.5
4
2
Comic books cost
more than
bracelets.
0
1 2 3 4 5 6
Number of Bracelets
11
Complete

Answers

Answer:

Bracelets are the same price as comic books

Step-by-step explanation:

A electronics store was charging $5.20 for a charging cable but raised the price 4%. The new price after the increase is $5.41.

Answers

Answer:

4%=$0.21

Step-by-step explanation:

5.20+(5.20/100x4)=5.41

5.20+(0.052x4)=5.41

5.20+0.208=5.41

5.41=5.41

So, 4%=$0.21

PLS help Thank You !!!!

Answers

Answer:

4

Step-by-step explanation:

40 - (18÷3)²

40 - (6)²

40 - 36

4

i think this is right

Answer:

(b) Jo answered 4 which is the right answer.

Step-by-step explanation:

First, you have to remember PEMDAS which is parentheses, exponents, multiplication, division, addition, and subtraction.

In this case, you need to do 18/3 first because that is in the parentheses which always goes first.

Your answer should be 6 and you should write the question like this:
40-(6)^2

Now, you need to do the exponent next which is 6x6 not 6x2.

Remember, exponents, are the base which is the number 6 multiplied by itself to that many times so in this case, our base is 6 and the exponent says we need to have 6 multiplied to itself 2 times. 6x6

We like to say 6 to the power of 2 is 36.

So now you need to write the simplified equation to this:

40-36=n

Our n variable is a placeholder for our answer.

Now it's basic subtraction which is 40-36 = 4

Therefore, Jo had the right answer.

MARK ME BRAINLIST please


I need help

Answers

Answer:

i am a holy angel here to help lol.

Step-by-step explanation:

i    a m    a    h o l y    a n g e l    h e r e    t o    h e l p

Using the slope equation m = y2−y1x2−x1 and given the points (0, 4) and (2, 1), find the slope

Answers

Answer:

m = -6

Step-by-step explanation:

Plug in the given terms.

m = (1 - 4)(2 - 0)

m = (-3)(2)

m = -6

Construct a perpendicular bisector to AB.

Answers

Answer:

Take a fixed gap and draw 180 degree arc of equal size on each side.

The compass size should be the same for the whole process, be careful.

Make 90 degrees angle for both side and cross two arcs from each 90 degrees. The point thus obtained should be produced vertically towards the line AB. The point on the line segment is the line bisector.

10) Choose the graph that represents the statement.

The high temperature today will be under 85°

Answers

i think the answer is the third one
Other Questions
El Viejo San Juanune y escribe. Match elements from the columns using the fotonovela as a guide.1. La a. Veijo san juan es bonito.2. Las b. Casas son pequenas.3. El c. Calles son de piedra.4. Los d. Casa mas colorida esta en el Viejo San Juan.Modelo. Las casas son pequenas. 34. Discuss The value and Vastrange of products that can bemade as eithera doughor bolor orflourbased mixturos for SwootandSavouryfoodproduction Please help need the answer asap34=x2 - 4(7 + 82) NEED LINEAR ALGEBRA ANSWER ASAPB IS INCORRECT Please help, for math 100 points!!! Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:y > 3x + 10y is less than negative 3 over 4 times x minus 1Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically What is the opposite of (x+120)? "dr dauagn" by sgeirthis song is sung in icelandic, a language spoken by the majority of people living in iceland. in terms of language, how would you classify iceland? The typeface Helvetica was named for who knows this...... Somebody plz just tell me which one from all these words has the meaning of forbid its super easy for some of yall so helppp answer correctly!!!!!!(WILL MARK AS BRAINLIEST) :D PLEASE I NEED HELP ASAPHow did the Silk Road influence the exchange of culture, ideas, and goods between China, East Africa, and Europe?PLEASE PUT IT ON ACE WRITING WITH 3 SentencesI will give you brainliest. Joyce and Efua are skating. Joyce pushes Efua, whose mass is 40.0 kg, with a force of 5.00 N. What is Efuas resulting acceleration? which point of view does the narrator use? ____1. The process of coordinating and overseeing the work performance of individuals working together in organizations, so that they could efficiently accomplish their chosen aims or goals. a. administration c. leadership b. governance d. management Which statement best describes how the author conveys the message that humans are no match for the power of a black hole? He explains scientific theories to the reader and provides the definitions for difficult terms and words. He uses logic and reason to lay out each individual step of human combustion as it is absorbed by the tidal force. He provides helpful comparisons of black holes with other cosmic phenomena that the reader may already know. He personalizes the experience for the reader and uses vivid imagery to create a clear mental picture. Pls help me with this questions what are two differences between a US state and a u.s. territory Please help me Ill mark you Brainly!!QUICK For each item, complete the phrase: On se dplace... So for#1 (modle) I would say On se dplace en scooter. Every response will begin with On se dplace...