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 a(n) = 16+ 3n for n > -2
b(n) = 14 + 2n for n > -1
c(n) = 10 + 3n for n > 0
D
d(n) = 8 + 2n forn > 1

Answers

Answer 1

Answer:

Answer: D

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are those where any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the arithmetic sequence:

10, 12, 14, 16, ...

Where a1=10 and

r = 12 - 10 = 2

Thus the general term is:

[tex]a_n=10+(n-1)2[/tex]

Operating:

[tex]a_n=10+2n-2[/tex]

[tex]a_n=8+2n[/tex]

Answer: D

Answer 2

Answer:

d(n)=8+2n for n >1

Step-by-step explanation:

I check on khan


Related Questions

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint
formula, and solve the two equations for x and y.)
midpoint (-2, -16), endpoint (-7.-9)

Answers

Given:

One endpoint of a line segment = (-7,-9)

Midpoint of the segment = (-2,-16)

To find:

The other endpoint of the given line segment.

Solution:

Let (a,b) be the other endpoint of the given line segment.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using this formula, we get

[tex](-2,-16)=\left(\dfrac{-7+a}{2},\dfrac{-9+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-7+a}{2}=-2[/tex]

[tex]-7+a=-4[/tex]

[tex]a=-4+7[/tex]

[tex]a=3[/tex]

And,

[tex]\dfrac{-9+b}{2}=-16[/tex]

[tex]-9+b=-32[/tex]

[tex]b=-32+9[/tex]

[tex]b=-23[/tex]

Therefore, the coordinates of other endpoint are (3,-23).

Help me pleaseeeee somebody ASAP

Answers

Answer:

x = 12

Step-by-step explanation:

In similarity triangles angles are congruent.

∠D = ∠A

x² - 8x = 48

x² - 8x  - 48 = 0

x² + 4x  - 12x - 48 = 0

x(x + 4) - 12(x + 4) = 0

(x +4)(x - 12) = 0

x - 12 = 0     {Ignore x + 4 = 0, as measurements won't have negative values}

x = 12

8,637
Number
Nearest ten

Answers

Answer:

8, 640

Step-by-step explanation:

It just is :) hope it helps

What is the slope of the line that passes
through the points (-3,5) and (9, -1)?

Answers

Answer:

m=-1/2

hope this helps

Answer:

-1/2

Step-by-step explanation:

9+3=12 and -1-5=-6

-6/12=-1/2

PLEASE ANSWER THIS IS URGENT PLEASE

Answers

Answer:

Step-by-step explanation:the answer to your question is 3/28

Answer:

3/28 or [tex]\frac{3}{28}[/tex]

Step-by-step explanation:

[tex]\frac{2}7}[/tex]÷[tex]\frac{8}{3}[/tex]

to divide fractions, flip the second one and multiply them.

[tex]\frac{2}{7}*\frac{3}{8}[/tex]

2 * 3 = 6

7 * 8 = 56

[tex]\frac{6}{56}[/tex]

simplify by dividing both sides by 2

[tex]\frac{3}{28}[/tex]

Chang Knows one side of a triangle is 13cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?
5cm and 8cm
6cm and 7cm
7cm and 2cm
8cm and 9cm​

Answers

Answer:

Option D: 8cm and 9cm. Is your answer.

Answer:

8 cm and 9 cm

Step-by-step explanation:

the two shorter sides must equal more than the longest side.

Helllpppp!!!! i need halp with mafs

Answers

Answer:

Step-by-step explanation:

Vertical line should intersect the graph, which represent function, no more than once.

Answer:

(〃бзб`)(〃бзб`)(〃бзб`)(〃бзб`)(〃бзб`)(〃бзб`)(〃бзб`)

Alex has $30,000 in his savings account that earns 10% annually.

Part A
How much interest will he earn in one year?
Interest = $____

Part B
If Alex spends 20% of the interest received on buying furniture for his new house, what amount did he spent on furniture?
Answer: $_____

Answers

Part A:

.1 x 30,000 = 3000

$33,000

Part B:

.2x3000 = 600

$600
Part A .10 * 30000 = 3,000
Part b .20 *3000=$600

helppppppp me plsss fast due at 7

Answers

Answer:2y+7x

5y−7x

 

=−5

=12

We notice that the first equation has a 7x7x7, x term and the second equation has a -7x−7xminus, 7, x term. These terms will cancel if we add the equations together—that is, we'll eliminate the xxx terms:

\begin{aligned} 2y+\redD{7x} &= -5 \\ +~5y\redD{-7x}&=12\\ \hline\\ 7y+0 &=7 \end{aligned}

2y+7x

+ 5y−7x

7y+0

 

=−5

=12

=7

Solving for yyy, we get:

\begin{aligned} 7y+0 &=7\\\\ 7y &=7\\\\ y &=\goldD{1} \end{aligned}

7y+0

7y

y

 

=7

=7

=1

Plugging this value back into our first equation, we solve for the other variable:

\begin{aligned} 2y+7x &= -5\\\\ 2\cdot \goldD{1}+7x &= -5\\\\ 2+7x&=-5\\\\ 7x&=-7\\\\ x&=\blueD{-1} \end{aligned}

2y+7x

2⋅1+7x

2+7x

7x

x

 

=−5

=−5

=−5

=−7

=−1

The solution to the system is x=\blueD{-1}x=−1x, equals, start color #11accd, minus, 1, end color #11accd, y=\goldD{1}y=1y, equals, start color #e07d10, 1, end color #e07d10.

We can check our solution by plugging these values back into the original equations. Let's try the second equation:

\begin{aligned} 5y-7x &= 12\\\\ 5\cdot\goldD{1}-7(\blueD{-1}) &\stackrel ?= 12\\\\ 5+7 &= 12 \end{aligned}

5y−7x

5⋅1−7(−1)

5+7

 

=12

=

?

12

=12

Step-by-step explanation:

SOLVE AND ILL MARK BRAINLIEST!!!

Answers

Answer:

Gabrielle, because she gets 16.2 miles per gallon, where as Jerimiah only gets 15 miles per gallon.

Step-by-step explanation:

what is -2(3x^2-7x+4)+(x+1)(x-7)

Answers

Answer:

−5^2x2+8x−15

Step-by-step explanation:

Hope it helps!

determine the value of w ​

Answers

Answer:

suppose

x+122=180

x=180-122

x=58

then

x+w+33=180

58+w+33=180

w=180-91

w=89

Can someone help me please

Answers

Answer:

first one is perpendicular

second one is neither

third one is parallel

Step-by-step explanation:

1. Perpendicular
2. Neither
3. Parallel

Ayla has 104 stuffed animals in her room. The ratio of teddy bears to cats is 5 to 3. How many teddy bears does she have?

Answers

Answer:

65 teddy bears

Step-by-step explanation:

Total stuffed animal = 104

Teddy bear : cats = 5 : 3

Total parts = 5+3 = 8

Number of teddy bears = [tex]\frac{5}{8}*104[/tex]

                                       = 5 * 13

                                      = 65

Answer:

she has 65 teddy bears

Step-by-step explanation:

if she has 104 stuffed animals and the ratio is 5/3 then to get the awnser you need 5/8

5/8*104

you get 65

find the area of the shape below, giving your answer to 1 decimal place

Answers

Answer:the answer is 150

Step-by-step explanation:multiply 10 and 15 and you get 150

Answer:

[tex] 189.25 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of the shape = Area of rectangle + Area of semicircle.

For rectangle:

Length = 15 cm

Width = 10 cm

For semicircle:

Diameter = 10 cm

Radius = 10/2 = 5 cm

Area of the shape

[tex] = lb + \frac{1}{2} \pi {r}^{2} \\ \\ = 15 \times 10 + \frac{1}{2} \times 3.14 \times {(5)}^{2} \\ \\ = 150 + \frac{1}{2} \times 3.14 \times 25 \\ \\ = 150 + 39.25 \\ \\ = 189.25 \: {cm}^{2} [/tex]

PLS HELP ASAP!!!!! WILL GIVE BRAINLIEST!!!!!!!!! 100 POINTS!!!!!!!!!
Point A (-3, 5) is rotated 270 counterclockwise degrees about the origin. What the coordinates of its image?
(3, -5)
(-5, 3)
(-5, -3)
(5, 3)

Answers

Answer:

(3, -5)!

Hope this helps! :D

i need help with a question

Answers

Answer: dp

Step-by-step explanation:

Please answer this :):(:)

Answers

Answer:

the answer would be 3/40

Answer:

3/40

Step-by-step explanation:

Scale factor = 9/10*12 = 3/40

Pleaseeeee help thanks

Answers

Answer:

1 freedom of speech

2 bear arms mean that i can own and carry a gun to protect me, myself and my property.

3 search warent

4 the tar and feather used on blacks.

5 fouth

6 it is passed down to mayors

7 i think that the most important amendment is the first because it allows us say what we like without getting punished by it.

sorry bout my bad grammer

Step-by-step explanation:

Vanessa tried to solve an equation step by step.−12=4(f-6)

Step 1. -12=4f−24
Step 2. 12=4f
Step 3. 4=f
Find Vanessa's mistake.

Answers

It step 3 I got The same question on khan academy

Given f(x) = (4 - x)”, what is the value of f(16)? ​

Answers

Answer:

Step-by-step explanation:

Plug in 16 for x. (4-16) then the answer is -12

6th grade math please help!
The sum of three numbers in order is 57. The equation that represents this is x + (x + 1) + (x + 2) = 57. Which value of x from the set {16, 17, 18, 19} makes the equation true?
a.16
b.17
c.18
d.19

Answers

The answer is c that is the answer

Will Give Brainliest

Last week Jim’s gross pay was $1,248 working 40 regular hours and 8 overtime hrs at double pay.

What was Jim's regular hourly rate?

Answers

Answer: 24


Explanation:

Total pay = gross pay + overtime pay

= 40x + 12x

= 52x

The total pay is 1,248
So

5x = 1,248

X = 1,248/52

X = 24

(Divide each side by 52)

What prompted (caused) Gandhi to begin a campaign of passive resistance in South Africa?

Answers

Answer:

Asiatic Registration Bill of 1906.

Step-by-step explanation:

The first passive resistance campaign was started in Johannesburg in 1907 with, and for, the wealthy South African Indian merchants whom he had so long represented.’ Gandhi’s first passive resistance campaign began as a protest against the Asiatic Registration Bill of 1906.

The regular price of a video game is $19.50 The store is having a 40% off sale.
A:How much is the discount?

B: How much will you pay for the video game after the discount?

Answers

A. The discount is 7.80 much

B. $11.7


The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function?

Answers

Answer:

Step-by-step explanation:

Rate of change = (2-3.6)/(5-(-3)) = -1.6/8 = 0.2

Which algebraic expression represents the phrase "seven more than half of a number
0 7-1/2x
0 -7+ 1/2x
o 1/2x + 7
0 -1/2x + 7

Answers

Answer:

1/2x + 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 more will be 7+

half of a number, let number be x, that will be x/2

1/2 x+7

Given m||n, find the value of x.
t
>m
(8x-27)
(7x-4)

Answers

Answer:

x = 23

Step-by-step explanation:

(8x - 27) and (7x - 4) are corresponding angles and are congruent, so

8x - 27 = 7x - 4 ( subtract 7x from both sides )

x - 27 = - 4 ( add 27 to both sides )

x = 23

Answer:

x = 23

Step-by-step explanation:

need the answer asap!!!!! 63 points!!!!

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

g(x) = f(x +4) = 10^x+4

So the graph of the function g is the graph of function 4 units to the right

B is the answer

table 1 has a total bill of $87.50 and leaves a 15% tip

table 2 has a total bill of $56.30 and leaves a 22% tip

table 3 has a total bill of $74.25 and leaves a 19% tip

determine which table leaves the largest tip and how much money she will make in the tips from the three tables

Answers

Table 3 leaves the largest tip because if you take the amount the bill was and change the percent to a decimal then multiply it gives you how much the tipped.
All together she earned $39.63 for all the tips
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