Compose an expression that can model the first three terms of any arithmetic sequence in terms of just a and d. Type your answers in the most simplified form.

Answers

Answer 1

Answer:

First term: a

Second term: a+d

Third term:a+2d

Step-by-step explanation:

Answer 2

An expression that can model the first three terms of any arithmetic sequence in terms of just a and d is aₙ = a + (n - 1)d.

What is an arithmetic sequence?

An ordered group of numbers with a shared difference between each succeeding term is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 8, 13, 18, and 23 is 5. An arithmetic progression is another name for an arithmetic sequence.

How to solve this problem?

Let the a be the initial term of a sequence and d be the common difference, then the nth term of any arithmetic sequence can be written as aₙ = a + (n - 1)d.

If we want first three terms of any arithmetic sequence, then we have to put n = 1, 2, 3 in the above expression.

So, for n = 1, a₁ = a + (1 - 1)d = a + 0d = a

for n = 2, a₂ = a + (2 - 1)d = a + d

for n = 3, a₃ = a + (3 - 1)d = a + 2d

Therefore, an expression that can model the first three terms of any arithmetic sequence in terms of just a and d is aₙ = a + (n - 1)d.

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Related Questions

Please answer, yes, or no.

Answers

Answer:

No if you see this sign means (<) that the number in like this1<2 that 2 is greater than 1 so it would be no because it would be this way 9>7 not 9<7

Step-by-step explanation:

i ned help with this asap. im not well with percentages

Answers

Answer:

160

Step-by-step explanation:

Add up all the numbers

48 + 67 + 16 + 29 = 160

Answer: D. 160

Step-by-step explanation:

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Answers

Answer:

its C

Step-by-step explanation:

2.5:3.5 simplified ratio

Answers

Answer:

5:7

Step-by-step explanation:

What is the scale factor of the dilation?
Parallelogram FGHJ was dilated and translated to form
similar parallelogram FG'H'J'.
1. 1/8
2. 1/4
3. 4
4. 8

Answers

Answer:

3

Step-by-step explanation:

Help needed asap will give brainliest

Answers

The answer is the atomic mass. Hope this helps!!

Answer:

Neutrons and protons make up the atoms atomic mass.

A total of 477 tickets were sold for the school play. They were either adult tickets or student tickets. There were 73 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Adult tickets is 275; kids tickets is 202

Which ordered pair describes the location of point A? (-6, 5) (-6, -5) (5, -6) (5, 6)

Answers

Answer:

the answer is -6,5

Step-by-step explanation:

just look at the left side ( the x axis )first then right(the y axis)

You and your friends were playing basketball last week. You were short a
player, so your younger sister joined the game. She crushed it scoring 12 shots for 28 points. How many 2 and 3 point baskets did she score?
Write a solution to the sister's basketball game.​

Answers

Answer:

there are multiple solutions to this but one is...

3+3+3+3+2+2+2+3+2+2+3

Step-by-step explanation:

you can create other solutions by taking both 2 and 3 consecitvly and adding them until you get 28.

Answer:

She made eight 2 pointers

She made four  3 pointers

Step-by-step explanation:

2x + 3y = 28

x + y    = 12                 Multiply this equation by 2

2x + 2y =24

Write the first and third equations underneath each other,

2x + 3y = 28

2x + 2y = 24              Subtract.

        y = 4

x + y = 12

x + 4 = 12                     Subtract  4 from each side

   - 4    -4

x = 8

my question is the picture​

Answers

Answer:

20 students

Step-by-step explanation:

You first have to add the number of students all up and you get 200.Then you do cross multiplication.

40/200 x s/100=

40x100= 4000=

200xs= 200s=

200s/200=

4000/200=

20=

Help me please and i will give you a brainlist

Answers

Answer:

I believe it's Option B, hopefully this helps! Sorry if it doesn't

BRAINIEST TO WHOEVER RIGHT “ identify the box and whisker plot that represents the data.” “Cat lengths (in inches) : 16, 18, 20, 25, 17, 22, 23, 21”

Answers

The second box/whisker plot is correct.

First we have to put he data set in ascending order:

16, 17, 18, 20, 21, 22, 23, 25

The median (middle number or average of 2 middle numbers) = 20.5 The center line of the box needs to be at 20.5

The middle of the first half of the data is 17.5, (average of 17 & 18) so the left side of the box needs to be at 17.5

The middle of the second half of the data is 22.5, (average of 22 & 23), so the right side of the box needs to be at 22.5.

The “whiskers” are your bottom & top numbers...representing the full range of data. They should be at 16 & 25.

Find the value of AB.
D
10
6
А
E
В
AB = [?]

Answers

Answer:

AB= 16❤

Step-by-step explanation:

OB= 10

EB²+6²= 10²

EB²= 64

EB=8

2×8=16

The length of line AB in the intersecting chords is determined as 16 units.

What is the length of AB?

The length of line AB is calculated by applying intersecting chord theorem as follows;

The radius of the circle = 10

Applying Pythagorean theorem as follows;

EB² + 6²= r²

where;

r is the radius of the circle = 10

EB² + 6²= 10²

EB² = 10² - 6²

EB² = 100 - 36

EB²= 64

EB = √ 64

EB = 8

Since EB is the half of length AB, then the value of the length AB is calculated as;

AB = 2 x 8

AB = 16 units

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what is -2.3 -1.2

explain your answer

Answers

Answer:

-2.3 -  1.2 = -3.5

Step-by-step explanation:

when we’re doing negative adding means subtracting so what I idi was add 2.3 and 1.2 and I got 3.5 so I think what number is bigger it’s -2.3 so since it’s negtive I put a negative that’s how I got it

Robert has x books. Marie has twice as many books as Robert has. Together they have 18 books. Which of the following equations can be used to find the number of books that Robert has? Choose one multiple choice answer
x+2=18
x+x+2=18
x+2x=18
2x=18

Answers

Answer:

the answer: x+2x=18

Step-by-step explanation:

Kate walks 5 miles in 2 hours at a steady pace. How far can she walk in 1 hour and 15 minutes? Explain your reasoning.

Answers

Answer:

3.125

Step-by-step explanation:

Kate walks 5 miles in 2 hours (120 minutes)

The distance she can works in 1 hour 15 minutes can be calculated as follows

This can be calculated using proportion

d/75= 5/120

Cross multiply

d×120= 75×5

120d= 375

d= 375/120

= 3.125

A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total receives were $2414

How many who paid were adults?

How many who paid were seniors?

Answers

Answer:

Step-by-step explanation:

Determine the types of tickets involved.

There are student tickets and adult tickets.

Create a table to organize the information.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student    

6

 

Adult    

9

 

1

,

506

 

Step 2. Identify what you are looking for.

We are looking for the number of student and adult tickets.

Step 3. Name. Represent the number of each type of ticket using variables.

We know the number of adult tickets sold was  

5

 less than three times the number of student tickets sold.

Let  

s

 be the number of student tickets.

Then  

3

s

5

 is the number of adult tickets.

Multiply the number times the value to get the total value of each type of ticket.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student  

s

   

6

   

6

s

 

Adult  

3

s

5

   

9

   

9

(

3

s

5

)

 

1

,

506

 

Step 4. Translate: Write the equation by adding the total values of each type of ticket.

6

s

+

9

(

3

s

5

)

=

1506

 

Step 5. Solve the equation.

6

s

+

27

s

45

=

1506

33

s

45

=

1506

33

s

=

1551

s

=

47

students

 

Substitute to find the number of adults.

3

s

5

=

 number of adults

3

(

47

)

5

=

136

 adults

Step 6. Check. There were  

47

 student tickets at  

$6

 each and  

136

 adult tickets at  

$9

 each. Is the total value  

$1506

?

 We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.

47

6

=

282

136

9

=

1224

_____

 

1506

 

Step 7. Answer the question. They sold  

47

 student tickets and  

136

 adult tickets.

Alex is conducting a survey for a car company. She decides to start by interviewing some people in her neighborhood. She prepares a questionnaire and emails it to 50 neighbors who own cars. Of those neighbors, 24 respond. Why is this sample likely to be biased?
A.
Alex sent a questionnaire by email instead of going door to door.
B.
Alex sent the questionnaire only to those who live near her.
C.
Not everyone who got the questionnaire responded.
D.
Those who got the questionnaire may not have responded on time.

Answers

Answer:

The answer is B

This is because if we know that Alex sent the questionnaire only to those who live near her, we can infer that this is biased.

Answer:

B: Alex sent the questionnaire only to those who live near her

Step-by-step explanation:

<3

-33/9+2 please help I need it ASAP

Answers

Answer:

Step-by-step explanation:

[tex]\frac{-33}{9}+2=\frac{-33}{9}+\frac{2*9}{1*9}\\\\\\=\frac{-33}{9}+\frac{18}{9}\\\\= \frac{-33+18}{9}\\\\=\frac{-15}{9}[/tex]

GCF of 15 and  9 is 3. so divide both numerator and denominator by 3

[tex]= \frac{-5}{3}\\\\= -1\frac{2}{3}[/tex]

How do you do √1/3/5

Answers

Answer:

Write  

1

as a fraction with a common denominator.

5

5

3

5

Combine the numerators over the common denominator.

5

3

5

Subtract  

3

from  

5

.

2

5

Rewrite  

2

5

as  

2

5

.

2

5

Multiply  

2

5

by  

5

5

.

(

2

5

5

5

)

Combine and simplify the denominator.

Tap for more steps...

2

5

5

Simplify the numerator.

Tap for more steps...

10

5

The result can be shown in multiple forms.

Exact Form:

10

5

Decimal Form:

0.63245553

()|[]√≥°

789≤θ

456

Find the volume of a pyramid with a square base, where the area of the base is
8.3 mº and the height of the pyramid is 6.3 m. Round your answer to the nearest
tenth of a cubic meter.

Answers

Answer: 17.4 m^3

Step-by-step explanation:

V= 1/3 Bh

B=8.3

H=6.3

V=1/3 (8.3)(6.3)

V=17.43

V=17.4m^3

What are the zeros of f(0) ** - 202
OAX-5 and x4
BN-10 and x = 2
OCX-2 and x = 10
DX-4 and 5

Answers

Answer:

b

Step-by-step explanation:

[Help Asap, Will Mark Brainliest If Correct!] Find the area of the figure. (Sides meet at right angles.)

Answers

Answer:

74cm^2

Step-by-step explanation:

Smaller circle C is inside larger circle C. The smaller circle is labeled the garden. The radius of the smaller circle is 8 feet. The distance from the rim of the inner circle to the rim of the outer circle is 3 feet. A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet. What is the approximate area of the path alone? Use 3.14 for Pi. 172.70 ft2 178.98 ft2 200.96 ft2 379.94 ft2

Answers

Answer:

178.98 ft2

Step-by-step explanation:

The approximate area of the path is 179 ft².

Area of the smaller circle

The area of the smaller circle is calculated as follows;

A₁ = πr₁²

Where;

r₁ is the radius of the smaller circle = 8 ft

A₁ = π x 8²

A₁ = 201.088 ft²

Area of the bigger circle

A = πr₂²

Where;

r₂ is the radius of the bigger circle = 8 + 3 = 11 ft

A₂ = π x (11)²

A₂ = 380.18 ft²

Area of the path

A = A₂  - A₁

A = 380.182 ft²  -  201.088 ft²

A = 179.094 ft²

Thus, the approximate area of the path is 179 ft².

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Only number 1 please

Answers

Answer:

a is k, b is k and l, c is j and l, d is j and r, thats all i know, lol

Step-by-step explanation:

K is Center, Radius KJ KI,KI, JR diameter.

Here we have given a diagram from the given diagram

What is the definition of the center?

Center :- The center of a circle is the point equidistant from the points on the edge

Therefore center is k.

Radius:-The distance from the center of the circle to any point on it's circumference

Radius is KJ,KL,KI

Chord :-The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

chord is J and I

Diameter:-In a circle, diameter is a line that passes through the center and meets the circumference at opposite ends.

JR is the diameter.

I have solve first four part of this question

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PLSSSS HELPPPP 30 POINTSSSS

Jaylon spent $27.60 of the $80 he got for his birthday. What percent of his money did spends

Answers

Answer:

35.4%

Step-by-step explanation:

(100/80) x 27.6

basically 1 of 80 is 1.25 and multiply 1.25 times the money jaylon spent sorry i am really bad at explaining only good at solving

Answer:

34.5%

Step-by-step explanation:

to find the percent of money that was spent, you turn it into a fraction-

27.60/80

=0.345

then to get the percent you multiply-

0.345*100

=34.5%

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Mrs. Watson shared a cheese pizza among herself and four children. Each person ate 18 of the pizza. How much of the pizza was eaten in all?

Answers

Answer:

90

Step-by-step explanation:

Se tienen cuatro libros de Matemáticas, tres Biología y tres Religión ¿De cuántas maneras diferentes se pueden ordenar todos los libros en línea recta?

Answers

Answer:

4,200

Step-by-step explanation:

Tenemos un total de:

4 libros de matemáticas

3 libros de biología

3 libros de religión

10 libros en total.

Ahora vamos a contar la cantidad de opciones que tenemos para cada posicion.

Primer libro (tenemos 10 opciones)

segundo libro (tenemos 9 opciones, porque ya colocamos un libro)

tercer libro (tenemos 8 opciones, porque ya colocamos dos libros)

Con esto ya podemos estimar el número de opciones para cada posicion, y sabemos que el número total de combinaciones es igual al producto entre los números de opciones para cada caso. El número total de combinaciones es:

C = 10*9*8*7*6*5*4*3*2*1 = 10!

Ahora si asumimos que no podemos diferenciar los libros de matemáticas, entonces no debemos contar sus permutaciones (si tenemos 4 libros de matemáticas, tenemos 4*3*2*1 permutaciones = 4! permutaciones). Debemos dividir al numero total de combinaciones por 4!.

Y lo mismo pasa para las 3! permutaciones de los libros de biología y las 3! permutaciones de los libros de religión.

Entonces el número total de combinaciones diferentes es:

[tex]C = \frac{10!}{3!*4!*3!} = \frac{10*9*8*7*6*5*4*3*2*1}{(3*2*1)*(4*3*2*1)*(3*2*1)} = 4,200[/tex]

Hay 4200 diferentes formas de ordenar los libros.

Solve the following quadratic formula and enter the solutions below from smallest to largest. Round to the nearest tenth if necessary.

Equation: 4x2+8x+7=4

Solution: Answer
and

Answers

Answer:

solution given:

: 4x2+8x+7=4

4x²+8x+7-4=0

4x³+8x+3=0

4x²+6x+2x+3=0

2x(2x+3)+1(2x+3)=0

(2x+3)(2x+1)=0

either

x=-3/2

or

x=-1/2

How do you break apart the factor 627 using place value?

Answers

Answer:

6 hundreds

2 tens

7 ones

Step-by-step explanation:

Un albañil construye una casa en 5 días si debe construir 3 casas cuántos días se demorará

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