2. Identify the Formula for finding the nth term of an Arithmetic Sequence, where A(n) is the nth term of an Arithmetic Sequence, is the first term, n is the term number and d is the common
difference

A(n) = 2 - 1 + (n - 1)d

A(n) = a + (n - 1)d

A(n) = a + (n)(d - 1)

O A(n) = a + (n + 1)d

Answers

Answer 1

Answer:

A(n) = a + (n - 1)d is the correct formula for an arithmetic sequence.

Step-by-step explanation:


Related Questions

What is the perimeter of the figure

Answers

Answer:

38m

Step-by-step explanation:

the top side is equal to

2 + 5 + 1 = 8

the perimeter:

9 + 7 + 8 + 2 + 4 + 5 + 2 + 1 = 38

Let f(x) be defined on the positive real numbers as follows:

Start with a number x.
Take the square root of the number and add 3 more than the number you started with.
Square the result and add 2 more than the original number.
Finally, divide the result by 2 more than the square of the original number.

Required:
Write a formula for f(x).

Answers

Answer:

[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Step-by-step explanation:

We have to find the formula for f(x)

Let x be the number

According to question

Now,

[tex]\sqrt{x}+x+3[/tex]

Now,

After squaring  we get

[tex](\sqrt{x}+x+3})^2[/tex]

Add x+2 to above result then, we get

[tex](\sqrt{x}+x+3})^2+2+x[/tex]

Then,

[tex]\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Therefore, the formula for f(x) is given by

[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Help me solve this plz 7(3x+6)=11-(x+2)

Answers

Answer:

i think - 3/2

Step-by-step explanation:

Oh okie so sorry I forgot to

Which is bigger 1/4 or 0.21

Answers

Answer:

1/4

Step-by-step explanation:

1/4=0.25


Two students are reading a novel. Ashley reads 2 pages per day. Carly reads 1 page per day, but she starts early and is already on page 5. When will the two students read on the
same page?

Ashley:p=2d
Carly:p=d+5

Answers

They would on day 4 that they would be on the same page

0.7 is 0.5% of what number?

Answers

...............140...............

140. Hope this helps !!(:

PLEASE HELP! i have to turn this in by the end of the day. PLEASE DONT GUESS :)

Answers

1) can’t
2can
3cant
4cant

Select the correct answer. If and , what is the domain of f(x) ÷ g(x)? A. all values of x B. (, -1), (-1, 2), and (2, ) C. (, 2) and (2, ) D. (, -1] and [2, )

Answers

Answer:

b

Step-by-step explanation:

Answer:

(-∞, -1) (-1, 2) (2, ∞)

Step-by-step explanation:

earth is approximately 9 x 10^7 miles from the sun. neptune is approximately 3x10^9 miles from the sun. neptune is approximately _____ times farther from the sun than earth

Answers

Answer:

[tex]33[/tex] times

Step-by-step explanation:

Distance between Earth and the sun [tex](D)[/tex] = 9 × [tex]10^{7}[/tex] miles = [tex]90,000,000[/tex] miles

Distance between Neptune and the sun [tex](d)[/tex] = 3 × [tex]10^{9}[/tex] miles = [tex]3,000,000,000[/tex] miles

Find [tex]\frac{d}{D}[/tex].

[tex]\frac{d}{D}=\frac{3,000,000,000}{90,000,000} =33.3[/tex] ≈ [tex]33[/tex]

Therefore,

Neptune is approximately [tex]33[/tex] times farther from the sun than earth


Factorise fullyc^3+ c^2​

Answers

Answer:

c^2( c+1)

Step-by-step explanation:

c^3+ c^2​

The greatest common factor is c^2

c^2( c+1)

If mQOS = 46, and mPOR = 61
and mPOQ = 28, what is mROS?

Answers

Answer:

ROS = 225°

Step-by-step explanation:

The four corners of the squares add up to 360°

Hope it helps you

Angles at a point add up to [tex]360^o[/tex]. The measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]

Given that:

[tex]m\angle QOS = 46^o[/tex]

[tex]m\angle POR = 61^o[/tex]

[tex]m\angle POQ = 28^o[/tex]

The 4 angles (i.e. QOS, POR, POQ and ROS) are all angles at a point (i.e. point O).

This means that we can apply the angle at a point theorem.

The theorem is represented as:

[tex]m\angle QOS +m\angle POR +m\angle POQ + m\angle ROS = 360^o[/tex] --- i.e. angles at a point add up to [tex]360^o[/tex]

So, we have:

[tex]46^o + 61^o + 28^o + m\angle ROS = 360^o[/tex]

[tex]135^o + m\angle ROS = 360^o[/tex]

Collect like terms

[tex]m\angle ROS = 360^o -135^o[/tex]

[tex]m\angle ROS = 225^o[/tex]

Hence, the measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]

Learn more about angles at:

https://brainly.com/question/15767203

Chris and Maddie share in the ratio 3:5 How much do they each receive?

Answers

whats the starting anount?

The number of tourists visiting a city doubles every month during the two-month period beginning in Jan, 1st and ending
in Feb, 28th each year, if the number of tourists who visited the city in the beginning of January in that particular year was
x, how many tourists visited the city at the end of February that year?

Answers

The number of tourists who visited the city at the end of February that year is 4x.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The number of tourists visiting the city doubles every month, which means the number of tourists at the end of January is 2 times the number of tourists at the beginning of January, or 2x.

Similarly, the number of tourists at the end of February is 2 times the number of tourists at the end of January, or 2(2x) = 4x.

Therefore,

The number of tourists who visited the city at the end of February that year is 4x.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Which shows a proportion comparing the rise and run for each of the similar slope triangles,

and the numeric value?

y

Your Answer

?

BC

YZ

YX

b) - B:

d) = 4:2

c) 4 - BA

122

Answers

Answer:

1/2 = 3/6

Step-by-step explanation:

Slope = Rise / Run

Rise = change in yaxis = y2 - y1

Run = change in x axis = x2 - x1

For the smaller triangle :

Rise = MO = 1 unit

Run = NO = 2 units

Thus;

slope = 1/2

For the larger triangle :

Rise = PR = 3 unit

Run = QR = 6 units

Thus ;

Slope = 3/6

Smaller = larger

1/2 = 3/6

Could you help me plz

Answers

Answer:

Step-by-step explanation:

(For a circle)

Circumference formula: π*2r

Area formula: π*r^2

1:

A)

π*2(3) =>6π=>18.84 m

B)

π*(3)^2=>9π=>28.27 m^2

2.

A)

π*2(3.1)=>6.2π=>19.47 m

B)

π*(3.1)^2=>9.61π=>30.19 m^2

s: There are 347 sixth grade students.They are going on a class trip to bush Gardens
. Each bus holds 32 students How many buses are needed? Will all the seats
be filled? If not, how many will Empty.

Answers

Answer: They would need 11 buses, and no, the seats will not be completely filled and five seats would be empty,

Step-by-step explanation:

Sorry if this didn’t help as much

Find the slope of the line that passes through (7, 5) and (4, 1).

ILL GIVE BRAINLIEST TO FIRST PERSON TO ANSWER

Answers

Answer:

Slope=-4/-3

Step-by-step explanation:

x1=7, x2=4, y1=5, y2=1

m=y2-y1/x2-x1

m=1-5/4-7

m=-4/-3

PLS HELP GIVING BRANLIEST AND GIVING 25 PTS PLS HELPP!!!!

Answers

Answer:

108.0625

Step-by-step explanation:

Add all the differences to the initial value

MARKING BRAINLY ASAP

Answers

Answer:

https://brainly.com/question/20936691

I answered it here, but you might have to search the answers for part A. Sorry.

Evaluate the expression when b=2 .

b⋅5 =

Answer:

Answers

Answer:

[tex]b*5 = 10[/tex]

Step-by-step explanation:

Given

[tex]b = 2[/tex]

Required

Evaluate [tex]b*5[/tex]

To do this, we simply substitute 2 for b in [tex]b*5[/tex]

[tex]b*5 = 2 * 5[/tex]

[tex]b*5 = 10[/tex]

The result of the expression is 10

Help help help help please this is due soon

Answers

Answer: (2,-1)

Step-by-step explanation:

Answer:

A'(1, -2)

Step-by-step explanation:

The rule for a rotation by 270° about the origin is:

(x, y) → (y, - x)

Apply the rule to the point A, which has coordinates of (2, 1)

A(2, 1) → A'(1, -2)

if JK is the midsegment of triangle GHI, find x

Answers

Answer:

C. 11

Step-by-step explanation:

Since JK is a midsegment of ∆GHI, therefore, based in the midsegment theorem:

JK = ½(HI)

HI = 22

Therefore,

JK = ½(22)

JK = 11

A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?

Answers

Answer:

The difference is 10,400$.

Step-by-step explanation:

$61,000-$50,600=$10,400

What number is equivalent to 47/9

Answers

Answer:

[tex]\frac{47}{9}[/tex] = 5 [tex]\frac{2}{9}[/tex]

5 2/9 [tw0 0ver nine]

h0pe this is c0rrect l0l-

A tree grows at a rate of 30 cm per year. If the tree is 5 meters tall
now, how tall will it be in 4 years?
Hint: Find the relationship between centimeters and and meters.

Answers

Answer:

Step-by-step explanation:

30 cm per year

now the tree is 5m

in 4 years the tree grew 4*30=120cm=1m 20 cm

the tree is 5+1.20 cm=6.20m tall

Enter your answer and show all the steps that you use to solve this problem in the space provided.
A graph with horizontal axis x and vertical axis y. Polygon WXYZ is plotted at the following points. W: left-parenthesis a comma 4b right-parenthesis. Z: left-parenthesis 0 comma b right-parenthesis. X: left-parenthesis 2a comma b right-parenthesis. Y: left-parenthesis a comma 0. Two dotted perpendicular lines WY and XZ are shown within the polygon.

Write a coordinate proof of the following theorem.

If a quadrilateral is a kite, then its diagonals are perpendicular. 60 POINTS

Answers

Answer:

sorry can u add a picture?

Step-by-step explanation:

if there is one sorry...

Jackson is given the expression below to simplify.
9x - 4 + 4x + 5x + 19
Which expression is equivalent to Jackson's expression?
0 3(6x + 5)
0 18x + 23
05(x + 2)
0 14x + 19

Answers

Answer:

it should be 3(6x+5)

Step-by-step explanation:

3(6x + 5) will  be equivalent expression of 9x - 4 + 4x + 5x + 19 so option (A) will be correct.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given the expression,

9x - 4 + 4x + 5x + 19

By adding variables and constants individually

(9x + 4x + 5x) + (-4 + 19)

⇒ 18x + 15

Taking common 3

⇒ 3(6x + 5)

Hence "3(6x + 5) will  be equivalent expression of 9x - 4 + 4x + 5x + 19".

To learn more about expression,

https://brainly.com/question/14083225

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What is the value of 16 • 2-2?

Answers

Answer:

= 30

Step-by-step explanation:

what are composite numbers out of 49, 35, 32, 41, and 47​

Answers

41 and 47 because there is no multiplication fact for those numbers

Step-by-step explanation:

Composite numbers are 32,35,and 49 .

I hope it's helpful!

Distribute -3(2n + 8)​

Answers

Answer:

-6n - 24

Step-by-step explanation:

-3(2n) = -6n

-3(8) = -24

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