Consider the arithmetic sequence:
10, 12, 14, 16, ...
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n) = 16 + 3n for n 2-2
A
b(n) = 14 + 2n for n > -1
c(n) = 10 + 3n for n > 0
Dd(n) = 8 + 2n for n > 1

Consider The Arithmetic Sequence:10, 12, 14, 16, ...If N Is An Integer, Which Of These Functions Generate

Answers

Answer 1

Answer:

If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is [tex]\mathbf{d(n)=8+2n\:for\:n>1}[/tex]

Option D is correct option

Step-by-step explanation:

We are given the arithmetic sequence:

10, 12, 14, 16, ...

If n is an integer, which of these functions generate the sequence?

We need to find the nth term for the given sequence

The nth term for arithmetic sequence will be: [tex]a_n=a_1+(n-1)d[/tex]

where aₙ is nth term, a₁ is first term and d is common difference

Looking at the sequence a₁ = 10 and d = 2

So, nth term will be:

[tex]a_n=a_1+(n-1)d\\a_n=10+(n-1)2\\a_n=10+2n-2\\a_n=8+2n[/tex]

So, nth term is: [tex]a_n=8+2n[/tex]

In the options below, the only correct answer is option D. so, we can write nth term as: [tex]d(n) = 8 + 2n\: for\: n > 1[/tex]

So, If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is [tex]\mathbf{d(n)=8+2n\:for\:n>1}[/tex]

Option D is correct option

Answer 2

Answer:

D) 8 + 2n for n > 1

Step-by-step explanation:


Related Questions

TRUE OR FALSE:

2y + 3 + y + 2 + 4 = 3y + 9

Answers

That is TRUE. If you combine like terms you get:
3y + 9 = 3y + 9
Its true, its combine like term : 2y + y = 3y and 3 + 2 + 4 = 9! Which is 3y + 9!

The ratio of girls to boys in a class is 4:3. If the total number of students in the class are 28. How many of them are girls?

Answers

4x + 3x = 28

7x = 28

7x/7 = 28/7

X = 4

Girls = 4

4x4 = 16

16 girls

please help me. Please no one answer if you don’t know I’m really struggling and I can’t get this

Answers

Answer:

Right, Wrong, Right, Wrong, Right.

Step-by-step explanation:

Solve.
-5 3/4 - 3 1/2

Answers

the answer to this is -37/4
Wat ever this dude said he was right

Which action completes this
diagram?

Answers

Answer: Establish a national bank

Step-by-step explanation:

What’s the person above me said


Three vertices of parallelogram ABCD are A(0,2), B(8,1), and D(3,4). Find the coordinates of vertex C.

Answers

Answer:

my answer is(5,7) thats may answer

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

The coordinates of vertex C are (11, 3).

What is a parallelogram?

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Three vertices of the parallelogram ABCD.

A = (0, 2)

B = (8, 1)

D = (3, 4)

C = (x, y)

        A___________B

         /                       /

       /          O          /

     /                       /

   D                     C

Now,

AO = OC

BO = DO

O is the midpoint of BD.

O =(m, n)

m = (8 + 3) / 2

m = 11/2

n = (1 + 4)/2

n = 5/2

O = (11/2, 5/2)

Now,

O is the midpoint of AC.

m = (x + 0)/2

11/2 = x/2

x = 11

n = (y + 2)/2

5/2 = (y + 2)/2

y + 2 = 5

y = 3

The coordinates of C.

= (x, y)

= (11, 3)

Thus,

The coordinates of vertex C are (11, 3).

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The polygons are similar. The area of one polygon is given. Find the area of the other polygon.
4 cm
12 cm
A = 10 cm
Area =
cm2

Answers

Answer:

90 cm²

Step-by-step explanation:

Given that both triangles are similar, it follows that the ratio of their area equals the square of their corresponding sides.

Let the area of the other triangle be x. Therefore:

[tex] \frac{10}{x} = \frac{4^2}{12^2} [/tex]

[tex] \frac{10}{x} = \frac{16}{144} [/tex]

Cross multiply

[tex] 10*144 = 16*x [/tex]

[tex] 1440 = 16x [/tex]

Divide both sides by 16

90 = x

Area of the other polygon = 90 cm²

Answer:

Answer is 90

Step-by-step explanation:

I had this homework and got it right



Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges by the
ounce to mail a package. How much does the package weigh in ounces?

Answers

Answer:200 ounces

Step-by-step explanation: multiply 12.5 by 16

Please help me!!!!! Geometry work!!!

Answers

7) 2 acute angles can sometimes equal an obtuse angle. This is because an acute angle is any angle below 90 degrees and an obtuse angle is any angle above 90 degrees. You could have a 50 degree angle and an 80 degree angle, and those 2 acute angles would make an obtuse angle.

Answer:

number 7:Sometimes  We can have two acute angles, 20 and 30, 20+30=50, which is still acute,   We can have two acute angles, 45 and 45, 45+45=90, which is neither acute nor obtuse. We can have two acute angles, 80 and 80, 80+80=160, which is obtuse.acute angles are less than 90 degrees. However, they can sometimes equal obtuse angles. For example, two acute angles measures of 70 degrees and 30 degrees are both acute. Add them together they equal 100 degrees, which is obtuse. some examples:  40° and 30° are acute angles  40° + 30° = 70°, which is an acute angle  60° and 30° are acute angles  60° + 30° = 90°, which is a right angle  50° and 70° are acute angles  50° + 70° = 120°, which is an obtuse angle.

number 8 :Since the intercepted arc LN is the diameter of the circle, its measure is 180 degrees, so m<LMN = 90

Conclusion: the sum of two acute angles is sometimes an acute angle.

Simplify the expression
10x-4-7x-3

Answers

Answer:

3 x − 7

Step-by-step explanation:

Riya wants curtains in her room. These are the lengths of curtains in metres. 1.0 m, 1.25 m, 1.5 m The lengths follow a pattern. Riya wants the next length up from 1.5 m. What length of curtains will Riya buy?

Answers

Answer:

1.75

Step-by-step explanation:

Since the curtains are going up in .25. We need to add .25 to 1.5.

1.5 + .25 = 1.75

The length of curtains will Riya buy is 1.75 m.

What is sequence?

A sequence is an arrangement of numbers in a specific order. A series, on the other hand, is defined as the sum of the elements in a sequence.

For example,  In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.

We have length of curtains as

1m, 1.25 m, 1.5 m,...

Now, from above the first term is 1.

Common difference, d= 1.25 - 1 = 0.25

So, the next length of curtain will be

= 1 + (4-1)0.25

= 1 + 0.75

= 1.75 m

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My cousin facetimed me and asked me a id k what it is but this is it. 92 meters per second times ________= 1,000 km

Answers

Answer:

10869.5652174 seconds

Step-by-step explanation:

1000 km = 1000000 m

1000000m /92  = 10869.5652174

You are using a magnifying glass that shows the image of an object that is six times the object's actual size. Determine the length of the image of the termite seen through the magnifying glass.

Answers

Answer:

3 inches

Step-by-step explanation:

Typical length of a termite is 1/2 inch

[tex]Lenght \ seen \ through\ magnifying\ glass=\frac{1}{2}(6) =3[/tex]

The length of the image of the termite seen through the magnifying glass is 3 inches.

What is magnifying glass?

A convex lens is used in a magnifying glass to provide an enlarged image of an object. Typically, the lens is fixed inside of a frame with a grip. You can use a magnifying glass to focus light, for example, to concentrate the sun's radiation and create a hot spot at the centre to start a fire.

Given that you are using a magnifying glass that shows the image of an object that is six times the object's actual size.

The length of the image of the termite seen through the magnifying glass will be calculated as,

Length = (1 / 2 ) x 6

Length = 3 inches

Therefore, the length of the image of the termite seen through the magnifying glass is 3 inches.

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what is the distance between the points?! round to the nearest tenth i need to show work

Answers

Answer:

8.6

Step-by-step explanation:

To find the distance between two points we use the formula posted below

All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with

the square root of (5-(-2)^2+(2-(-3)^2 and get the answer of 8.602325267

then we round to the nearest tenth and get 8.6

Change to Scientific Notation
.0000000005

Answers

5x10^-10 is the answer

Lin has 13 mystery novels. Each month, she gets 2 more. Select all expressions that represent the total number of Lin's mystery novels after 3 months.

Answers

answer:

Lin should have about 19 novels in total when you add up all the amounts she gets after 3 months.

you use 4 gallons of water on 30 plants in your garden. At the rate,how much water will it take to water 45 plants​

Answers

Answer:4 gallons of water ... 30 plants

x gallons of water = ? ... 45 plants

If you would like to know how much water will it take to water 45 plants, you can calculate this using the following steps:

4 * 45 = x * 30

180 = 30 * x    /30

x = 180 / 30

x = 6 gallons of water

Result: You will use 6 gallons of water to water 45 plants.

Step-by-step explanation:

please help me i never payed attention in this part of math​

Answers

z=107°
and y=25° hopefully this helps

Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?

Answers

77 I hope it’s correct

A jewelry maker has 51 inches of chain. She wants to cut the chain into 9 equal parts. How long will each part be?

Answers

The 9 pieces of chain will be around 5.6 inches

Answer:

5.6 inches

Step-by-step explanation:

HELP ME I BEG U a solution to the equation 4x-3y=12 must also be a solution to which of the following equation?
(1) 4x+3y= -12
(2) 12x-9y=36
(3) 2x-3y=6
(4) 8x-6y=12

Answers

Answer:

(2) is the correct answer

Step-by-step explanation:

if you multiply the given equation by 3 you get answer (2):

3(4x - 3y) = 3(12)

12x - 9y = 36

Answer:

(2) 12x-9y=36

Step-by-step explanation:

4x-3y=12  (×3)

12x-9y=36

PLEASE HELP IM DESPERATE I have no clue about this

Answers

Answer:

B

Step-by-step explanation:

Two linear lines can never intersect twice

B) Two Solutions

Reason is that when we have two straight lines, they can only intersect at one point of intersection. So you can either have one, none, or an infinite solution, you can’t have exactly two solutions.

Independent Practice

Find the midpoint of the segment.

A. (4, 2)
B. (1, 0)
C. (-4, 0)
D. (0, 1)

Answers

Answer:

B. (1, 0)

Step-by-step explanation:

9514 1404 393

Answer:

  B.  (1, 0)

Step-by-step explanation:

You can count grid squares on the graph to find the point that is 4 of the 8 units horizontally between the points, and 2 of the 4 units vertically between the points. That will be ...

  C +(4, 2) = D -(4, 2) = (1, 0)

__

Or, you can use the midpoint formula:

  M = (C +D)/2

  M = ((-3, -2) +(5, 2))/2 = (-3+5, -2+2)/2 = (2, 0)/2

  M = (1, 0)

The midpoint is (1, 0).

The figure shown is a semicircle. Find its area. Round your solution to 2 decimal places.

Answers

Answer:

12.5 pie , 39.25 using pie=3.14, and 39.28 to be exact

Step-by-step explanation:

BTW n=pie

10in= Diameter

5in=Radius

Area=n5^2

= 25n/2

=12.5n

12.5 times 3.14= 39.25

22/7 times 12.5= 39.2857143

What value correctly fills in the blank so that the expressions are equivalent?

32 + 72 = blank x (4 + 9)

Answers

Answer:

8

Step-by-step explanation:

8*4 is 32 8*9 is 72

so, it is 8

since it is distributive property 8(4+9)

Answer:

8

Step-by-step explanation:

1) simplify the equation

32+72=104

104=4x+9x (distibute the "x")

104=13x

x=8

hence the "blank" is 8

What is the distance from M to N?


HELPPP ME PLEASE HURRY IM GIVING BRAINLIST!!!!!!!!

50 POINTS!!!!! NO TROLLING PLZ!!

Answers

Answer: B. 14 units

Step-by-step explanation:

Answer:

it’s not 14 units, that’s all i know

Step-by-step explanation:

got it wrong on ap3x

Need help finding the value of x

Answers

Answer:

The value of x is 26.

Step-by-step explanation:

In a triangle, the total angles is 180°. In order to find the value of x, you have to add up all the angles in terms of x and make it equals to 180°

2x + 3x + 50 = 180

5x + 50 = 180

5x = 180 - 50

5x = 130

x = 130 ÷ 5

x = 26

As we know that,

Sum of all angles of triangle = 180°

Given,

Angles are 2x , 3x and 50°

Now,

[tex] \rightarrow \: 2x + 3x + 50 = 180[/tex]

When plus sign goes to another side then,it become minus.

[tex] \rightarrow \: 5x = 180 - 50[/tex]

[tex] \rightarrow \: 5x = 130[/tex]

[tex] \rightarrow \: x = \cancel \dfrac{130}{5} [/tex]

[tex] \rightarrow \: x = 26[/tex]

Hence,the value of x is 26°.

You lose 2 points every time you forget to write your name on a test. You have forgotten to write your name 4 times. What integer represents your change in points from forgetting to write your name?

Answers

Answer:

-8

Step-by-step explanation: since it says Times, (for me times is multiplication) you would multiply -2 and 4. negative 2 would be from that person losing 2 points. and 4 since it is your total amount of times you have forgotten to write your name. so, -2 x 4 = -8.

how i got -8. both signs from -2 and 4 are different, and when they are different the answer will always be negative.

PLZ help meee !!!! I will give you 10 points

Answers

x=6 y=7


The answer is A

Hope it help

a rectangle has a length 3 meters more than three times the width. the area of the rectangle is less than 90 meters squared. write an expression that represents all possible widths (use the variable x) of the rectangle. write your answer as an inequality, a < x < b.

Answers

Answer: -6<x<5

Step-by-step explanation:

Given

Length is 3 m more than three times the width

Suppose width is x

So, the length is 3x+3

The area of a rectangle is  [tex]length\times width[/tex]

Area= [tex](3x+3)x<90[/tex]

[tex]\Rightarrow 3x^2+3x-90<0\\\Rightarrow x^2+x-30<0\\\Rightarrow x^2+6x-5x-30<0\\\Rightarrow (x+6)(x-5)<0\\\Rightarrow -6<x<5[/tex]

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