Mathematics College

Consider the arithmetic sequence: 6,2,-2,-6,...
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n) = 10 – 4n for n > 0
b(n) = 10 – 4n for n > 1
c(n) = 18 - 4n for n > 2
d(n) = 14 - 4n for n > 3​

Answers

Answer 1

Answer: b(n)=10-4n for n >1

Answer 2

The function a(n) = 10 – 4n for n > 0 generates the given arithmetic sequence.

What is an arithmetic sequence?

"It is a number sequence with a common difference between successive terms."

For given example,

Given arithmetic sequence: 6, 2, -2, -6, . . .

Here, 2 - 6 = -4

-2 - 2 = -4

-6 - (-2) = -4

This means, the common difference is d = -4

If n is a positive integer, then the function a(n) = 10 - 4n (n > 0) generates given sequence.

For n = 1

⇒ a(1) = 10 - 4(1)

⇒ a(1) = 6

For n = 2,

⇒ a(2) = 10 - 4(2)

⇒ a(2) = 2

For n = 3,

⇒ a(3) = 10 - 4(3)

⇒ a(3) = -2

For n = 4,

⇒ a(4) = 10 - 4(4)

⇒ a(3) = -6

Therefore, the function a(n) = 10 – 4n for n > 0 generates the given arithmetic sequence.

Learn more about an arithmetic sequence here:

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Related Questions

I NEED THE CORRECT ANSWER TO THIS ASAP FOR A TEST!!!!! What is the solution to the inequality?

-8m >48
_

A) m > 26
_
B) m > -6
_
C) m < -6
_
D) m < 6
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Answers

the correct answer is c , m<6

Answer:

could be c

Step-by-step explanation:

Let f(x) = x2 and g(x) = x -4. Find (fog)(-1).

Answers

(f  o g)(x) = f (g (x)) = f (x - 4) = (x - 4)²

→   (f  o g)(-1) = (-1 - 4)² = (-5)² = 25

what is 23 450 + 52 704 to the nearest 100?​

Answers

Answer:

76,200

Step-by-step explanation:

relay race is 1 4 mile long and is run by 4-member teams. If each team member runs the same distance, what fraction of a mile does each team member run? Explain how you found your answer.

Answers

Answer:

7/20

Step-by-step explanation:

I did the work but Im not sure if this is right i just need points to ask my question. But what i did was i did 14 divided by 4=3.5, then moved the decimal in front of the 3 to make .35 then turned that into a fraction 7/20. AGAIN I DONT KNOW IF ITS RIGHT DONT BLAME ME IF ITS NOT

f (x) = 3x2 - 24x + 15

Answers

Answer:

F(x)=-24x+21

Step-by-step explanation:

60 ft/s= how many km/h
Show work please

Answers

Answer:

65.837 kilometers per hour

Step-by-step explanation:

hope this help:))

multiply the speed by 1.097

Please help, I will give brainliest, I am struggling badly.

Answers

Answer:

F) The solution to the system is (1/3,3)

Step-by-step explanation:

Let's attempt to solve this system:

Given:

9x+2y=9

-3x+y=2

Set up elimination:

9x+2y=9

3(-3x+y=2)

9x+2y=9

-9x+3y=6

________

      5y=15

        y=3

Plug y=3 into one of the original equations:

-3x+y=2

-3x+(3)=2

-3x+3=2

-3x=-1

x=1/3

So it is clear that there is only one solution pair that works. The correct answer is F) The solution to the system is (1/3,3)

The answe is the last one.
please give me points

Select three ratios that are equivalent to
8
:
20
8:208, colon, 20.
Choose 3 answers:
Choose 3 answers:

(Choice A)
A
1
:
4
1:41, colon, 4

(Choice B)
B
4
:
10
4:104, colon, 10

(Choice C)
C
24
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60
24:6024, colon, 60

(Choice D)
D
2
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5
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(Choice E)
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Answers

Answer:

Its b,c,d

Step-by-step explanation:

Help me i will give best answer to correct answer.

Answers

Answer:

x=3 and y=3

Step-by-step explanation:


PLEASEEE HURRY

What is the rate of change?
Equation that describes function?
Linear or non linear?

Answers

Answer:

can you tell me the grade so I can help you please

It is -1+3 if I’m correct

Mr Smith has $109 to spend in parking and admission to the zoo. the parking is $7 and admission is $15.50 per person including tax. write and solve equation to determine the number of people he can bring to the zoo​

Answers

Answer:

He can bring 6 people to the zoo.

Step-by-step explanation:

7 + 15.50x = 109

subtract 7 from both sides

15.50x = 102

divide by 15.50 on both sides

x = 6.58064516129 = 6 people

One yard is 36 inches. how many inches is 2/3 of a yard?

Answers

Answer:

24

Step-by-step explanation:

Find the distance between 12 and -6. HELP.???

Answers

Answer:

espero que te haya servido :]

Determine whether the two expressions are equivalent. If so, tell
what property is applied. If not, explain why.
5 x ( 6 x 3 ) and ( 5 x 6 ) x 3

Answers

Answer:

Yes,  they are equivalent.

Step-by-step explanation:

5*(6*3) equals 90.

(5*6)*3 also equals 90.

When multiplying and adding, it doesn't matter where you place the numbers, they still equal the same. If you look at the two problems you see they are the same numbers, just in different places.

Find CD? Plssss help

Answers

Answer:

CD = 10

Step-by-step explanation:

Answer:

CD=10 is the answer to your question

What is 34 ÷ 18 ? Explain your reasoning.

Answers

1.8 that’s my reason

Answer:

2 because the number 18 have fitf in 34 but just two , now the answer is 2

Step-by-step explanation:

please help me please i really need help please

Answers

Answer:

-5a+3b

Step-by-step explanation:

3a+2b-8a+b=3a-8a+2b+b=-5a+3b

Answer:

-5a+3b

Step-by-step explanation:

1. Re-write the numbers next to their common variables 3a-8a+2b+b

Then add!

Proportional Relationships & Percentages:Question 1
A study showed that the population of fish in a pond
increased from 310 to 403. What is the percent of the
increase?
Select one:

Answers

Answer:

(-2) + (3-7)

(-1) * (-2)

EVALUATE THE EXPRESSION

Step-by-step explanation:

THAT IS  a question. i need help pls

What's is 20% of 62?

Helpppp

Answers

Your answer is 12.4 hope this helps

Answer:

12.4

Step-by-step explanation:

just multiply, or search go.ogle

0.2 * 62 = 12.4

easy

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Answers

12.312>12.132 :D i hope it helps

Find x in the right triangle (I don’t even know if it’s a right triangle I just need this too be 20* characters)

Answers

Answer:

65

Step-by-step explanation:

Answer: 65

Step-by-step explanation:

68 + 47 = 115  

180 - 115 = 65

Find the midpoint of the line segment with these endpoints: (-3,-8), (9,3)

Answers

Answer:

Step-by-step explanation:

(3,-5/2)

The midpoint of the line segment with these endpoints (-3, -8) and (9, 3) will be (0, 0.5).

What is the mid-point of the line segment?

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints of the line segment are given below.

(-3, -8) and (9, 3)

The midpoint of the line segment is calculated as,

(x, y) = [(-3 + 3) / 2, (-8 + 9)/ 2]

(x, y) = (0/2, 1/2)

(x, y) = (0, 0.5)

The midpoint of the line fragment with these endpoints (- 3, - 8) and (9, 3) will be (0, 0.5).

More about the mid-point of the line segment link is given below.

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Describe what probability is and how it is used in the real world. Explain how to calculate probability of an event. Explain the difference in something being unlikely, likely, certain, and equally likely to happen. Write 3-5 Sentences

Answers

Answer:

Nearly every day you use probability to plan around the weather. Meteorologists can't predict exactly what the weather will be. So they use tools and instruments to determine the likelihood that it will rain, snow or hail.

Step-by-step explanation:

An automobile manufacturing plant produced vehicles today: were sedans, were trucks, and were motorcycles. Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles. What is the probability that the first vehicle selected is a sedan and the second vehicle is a truck?

Answers

Question is incomplete :

Number of each type of vehicle produced isn't given :

An automobile manufacturing plant produced 32 vehicles today: 10 were sedans, 11 were vans, and 11 were trucks. Plant managers are going to choose two of these vehicles for thorough inspection. The first vehicle will be chosen at random, and then the second vehicle will be chosen at random from the remaining vehicles.

What is the probability that the first vehicle selected is a sedan and the second vehicle is a truck?

Answer:

55 / 496

Step-by-step explanation:

Total possible outcomes = 32

Number of Sedan = 10

Vans = 11

Trucks = 11

P(first selection is sedan) :

Number of sedan / total number of vehicles

= 10 /32 = 0.3125

P(second is a truck)

Total possible outcomes = 32 - 1 = 31

Number of trucks = 11 / 31

(10/32 * 11/31)

= (10*11) / (32*31)

= 110 / 992

= 55 /496

Any Netflix suggestions to watch?​

Answers

Answer:

stranger things

Step-by-step explanation:

Which of the following best describes the graph of the line represented by the table below?​

Answers

The line would be Horizontal
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What is the equivalent property of 6(2x - 1)

Answers

Answer:

12x-6

Step-by-step explanation:

Answer:

12x - 6

Step-by-step explanation:

Well all you gotta do is open up the brackets, and when you do open them up you have to distrubute the number on the outside: like this; 6 (2x-1) = 6*2x - 6*1 = 12x - 6

Which is more, 3 miles or 5,278 yards?

Answers

Answer:

Step-by-step explanation:

Miles into yards

1 mile = 1760 yards

3 miles = 1760 x 3 = 5280 yards

3 miles is more

The 3 miles is greater than 5,278 yards.

To compare 3 miles and 5,278 yards, we need to convert one of the measurements to the same unit as the other. Since 1 mile is equal to 1,760 yards, we can convert 3 miles to yards:

3 miles * 1,760 yards/mile = 5,280 yards

Therefore, 3 miles is equal to 5,280 yards.

Now we can see that 5,280 yards is greater than 5,278 yards.

In conclusion, 3 miles is greater than 5,278 yards.

To know more about miles:

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2) 3+ p= 8



I need help pls I don’t get it

Answers

Answer:

p=5

Step-by-step explanation:

3+ p= 8

subtract 3 on both sides

p=5

hope that helps :)

Can someone help please?

Answers

Answer:

2

mark me as brainliest..........

Answer:

2

Step-by-step explanation:

since they are similar

they will be divided by 9 for example

we have 54 on the left but if you divide it by 9 we get 6 which is on the right

then we have 27 on the left if you divide by 9 we get 3 which is on the right

so then we have 18 and a missing number

so we divide 18/9 and get 2

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