The third term in an arithmetic sequence is 9 and the fifth term is 21 . If the first term if a1, which is an equation for the nth term of this sequence?

A:an=6n-9
B:an=14n+6
C:an=6n+14
D:an=9n-6

Answers

Answer 1

Answer:

A: an = 6n - 9

Step-by-step explanation:

third term in an arithmetic sequence is 9

a3 = a + 2d

a + 2d = 9

the fifth term is 21

a5 = a + 4d

a + 4d = 21

a + 2d = 9 (1)

a + 4d = 21 (2)

Subtract (1) from (2) to eliminate a

4d - 2d = 21 - 9

2d = 12

d = 12/2

d = 6

Substitute d = 6 into (1)

a + 2d = 9 (1)

a + 2(6) = 9

a + 12 = 9

a = 9 - 12

a = -3

nth term of this sequence = a + (n - 1)d

= -3 + (n - 1)6

= -3 + 6n - 6

= 6n - 9

an = 6n - 9


Related Questions

1 Which expression is equivalent to 4 − (−7)?


A 7 + 4


B 4 − 7


C −7 − 4


D −4 + 7

Answers

Answer:

The answer is A

Step-by-step explanation:

4−(−7)

=4−(−7)

=4+7

=11

Choose 3 answers pls help

Answers

Answer:

B, C, and D

Step-by-step explanation:

They all have inequality signs, < or >, and the others are expressions

I need help figuring out X, i’ve been trying multiple solutions and I still don’t get what I have to do.

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Answer: 5

Step-by-step explanation:

47+ 16x-4 +12x-3 =180

28x +40 =180

28x = 140

X= 5

Dave places £17000 in an account which pays 4% compound interest per year. How many
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Answers

Answer:

3 years

Step-by-step explanation:

Does the graph represent a function?

Choose 1 answer:

A. Yes
B. No

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Answers

the answer would be YES i’m pretty sure!

Answer:

B no it's not a function

Step-by-step explanation:

there has to be decrease and increase in the line

-8 is a term true or false

Answers

True, -8 is a term. Have a great day.


7. 8x - 4= 4(2x + 1) have how many solutions

Answers

Answer:

0

Step-by-step explanation:

Let's solve for x

8x-4=4(2x+1)

8x-4=8x+4

0= 8

This obviously isn't true and therefore there are 0 solution

Answer:

No solution as both side not equal.

What is an equivalent equation for each given equation?
4x + 11 = 15

a.) 4x = 26
b.) -4x +11 = -15
c.) 15 = -11 - 4x
d.)4x = 4

Answers

Answer:

d

Step-by-step explanation:

4x + 11 = 15

4x = 4

x = 1

three to the fifth power
answer please​

Answers

Answer:

243

Step-by-step explanation:

Answer:

243

Step-by-step explanation:

Find the LCM for each pair of numbers. 2, 5 8, 10

Answers

The LCM of 2,5,8,10 is 40

please help solve for x ................................................................

Answers

Answer:

104°+33°+(5x+13)°=180°[all angle sum is 180°]

137°+(5x+13)=180°

137°+13+5x=180°

150°+5x=180°

5x=180°-150°

5x=30

x=30/5

×=6

Answer:

x = 6

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

5x + 13 + 104 + 33 = 180, that is

5x + 150 = 180 ( subtract 150 from both sides )

5x = 30 ( divide both sides by 5 )

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hi can anyone tell me the answer

Answers

Answer:

Attached a pic!!

Hope it helps!!!!

Which graph represents the function y = 2 x - 2?
3
414

2
2
2
2
x
4-2
2
4
-4-2
-4
-2
-2
-2
4

Answers

The graph which represents the function; y = 2 x - 2 is the second graph from the left.

Graph of Functions

By considering the slope-intercept form of the equation of a straight line;

y = mx + c

By observation, the graph of the function has y-intercept, -2 and has slope, m = 2

The graph most comparable to the information above is the third graph and hence is the graph of the function.

Read more on graph of a function;

https://brainly.com/question/926962

Answer:

3rd one or c

Step-by-step explanation:

Simplify :

- 1/2 (4/5 _ 8y)

Answers

Answer:

[tex] - \frac{1}{2} ( \frac{4}{5} - 8y) \\ = - \frac{4}{10} + \frac{8y}{2} \\ = - \frac{2}{5} + 4y \\ = \frac{ - 2 + 5 \times 4y}{5} = \frac{ - 2 + 20y}{5} \\ - 2 + 20y = 0 \\ 20y = 2 \\ y = \frac{1}{10} [/tex]

If the density of a piece of wood is 0.85 g/cm3, what is the volume if the mass of 24.99 cm3?

Answers

Answer:

to find volume

Step-by-step explanation:

I think so it is like this 24.99/0.85 =29.4

Evaluate the following expression. Round to the nearest hundredth when necessary.
27

Answers

Answer:

27?

Step-by-step explanation:

27 is a whole number you know

Plz help me :(:(:(:(:(:(:(:(::(((::(:(:(.(.(

Answers

Answer:

Look below!

Step-by-step explanation:

Angle A = 180-47 = 133

Angle B = 180-32-Angle A = 180-32-47 = 101

Angle D = 90-32 = 58

Angle C = 180-47-58 = 75

Hope I helped!

Answer:

A=133 ,B=15, C=75  D= 58

Step-by-step explanation:

Angle 32, d, and right angle add up to 180. So 180=32+90+x. Then x = 58 (D). The all 3 angles in the triangle add up too 180 so 180=47+58+x. x=75 (C). The 47 and a equal to 180 degrees. 180-47=133. The 133+32+x=180. x=15 (B).

Math Help Me Please!!! Thank you

Answers

Answer:

B: Linear

Step-by-step explanation:

Linear can be all different patterns including inconsistent patters as you see on the screen.

Linear can also be provided in algebra.

Dots A: 5

Dots B:  7

Help pls (pls dont write absolute nonsense on here pls i really need help)

Answers

A) -2fg b) not sure sorry c) f-x

Need help with finding X

Answers

Answer:

Step-by-step explanation:

Mark took his family to the movies and spent a total of 78$ on tickets he also bought a soda for each family member each sodas cost 4.25 if mark spent a total of 102,50 on sodas and tickets. How much sodas did he buy

Answers

Answer: He bought about 6 sodas.

Step-by-step explanation:

Given: Tota cost of tickets = $ 78

Cost of each soda = $4.25

Total cost of sodas and tickets = 102.50

Let x = Number of sodas purchased

Then

[tex]78+4.25x=102.50\\\\\Rightarrow\ 4.25x=102.50-78\\\\\Rightarrow\ 4.25x=24.5\\\\\Rightarrow\ x= \dfrac{24.5}{4.25}\\\\\Rightarrow\ x\approx6[/tex]

Hence, he bought about 6 sodas.

Find the slope of the line given the two points on the
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Answers

Answer:

3/8 its rise over run and positive

A construction company submitted bids for three contracts. The company estimates that it has a 20%
chance of winning any given bid. Let X represent the number of bids the company wins. Here is the
probability distribution of X along with summary statistics:

X = # of bids won-
0 1 2 3

P(X)-
0.512 0.384 0.096 0.008

Mean: µx=0.6
Standard deviation: σx=0.69

It costs the company a total of $2,000 to submit these bids, and they stand to gain $10,000 for each bid
they win. Let V represent their net gain from submitting these three bids.
What are the mean and standard deviation of V?
µv= ______dollars
σv=_______dollars

Answers

Answer: 4000 dollars

6900 dollars

Step-by-step explanation:

What is the surface area of this rectangular pyramid?
8.1 cm
9.3 am
12 cm
5 cm

Answers

Lolol sameee ^^^^^^^^

HELP I WILL GIVE BRAINLIEST I PROMISE

There are 8 students on the school chess team. They need to raise at least $760 for a field trip. Their advisor says they still need to raise 85% of the funds, and she wants each of them to raise an equal share of the money still needed. Diego wrote and solved the inequality 8m + 0.85(760) ≥ 760 to find the least amount of money, m, each student on the chess team needs to raise. He says the solution is m ≥ $14.25. Diego is incorrect. What should be the correct solution? *
10 points
m ≤ $14.25
m ≥ $80.75
m ≤ $80.75

Answers

Answer:

m ≤ $14.25

Step-by-step explanation:

Answer:

m ≤ $80.75

Step-by-step explanation:

hope it helps

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Answers

Answer:

D

Step-by-step explanation:

It is going from top left to bottom right, so we now it is a negative slope. This leaves us with B or D. When the y axis decreases 1 (aka (x,-1)) the x axis is at 4. Rise/run is 1/4.

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Answers

Answer:

mf you are asking this in high school.

Step-by-step explanation:

How do you do this C=2πr with π=3.14?

Answers

Answer: C=2*3.14*r

Step-by-step explanation:

You just plug in 3.14 for pi, it's pretty simple

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Answers

Answer:

Ok so this is not a function.

However i'm not real sure about domain and range because i'm not sure what you can do in those boxes but this is a guess.

Hope this helps though!:)

Domain: -3, -2, -1, 0

Range: 12, 13, 14, 15

Quien me puede ayudar es U R G E N T E The GCF of 54, 76 and 114 is: 2 6 4 9 1 The GCF of 35, 50 and 120 is: 2 4 5 25 2 Find the GCF of 12, 16 and 20 1 If the GCF of 56 and 120 is c, find the result of 24\div c24÷c

Answers

Responder:

a) 2

b) 5

c) 4

d) 3

Explicación paso a paso:

Debemos encontrar el MCD de los siguientes números

a) 54, 76, 114

encontrar los factores primos de cada

54 = 2 * 3 * 3 * 3

76 = 2 * 2 * 19

114 = 2 * 2 * 2 * 2 * 3 * 3

De los factores anteriores, podemos ver que solo 2 es común a todos los factores, por lo tanto, el MCD de 54, 76 y 114 es 2

b) Para 35, 50 y 120

35 = 5 * 7

50 = 2 * 5 * 5

120 = 2 * 2 * 2 * 3 * 5

De los factores anteriores, podemos ver que solo 5 es común a todos los factores, por lo tanto, el MCD de 35, 50 y 120 es 5

c) Para 12, 16 y 20

12 = 2 * 2 * 3

16 = 2 * 2 * 2 * 2

20 = 2 * 2 * 5

De los factores anteriores, (2 * 2) es común a todos ellos, por lo tanto, el MCD de 12, 16 y 20 es 4

d) Para 56 y 120

56 = 2 * 2 * 2 * 7 = 8 * 7

120 = 2 * 2 * 2 * 3 * 5 = 8 * 3 * 5

De los factores anteriores, podemos ver que solo 8 es común a todos los factores, por lo tanto, el MCD de 56 y 120 es 8.

Por tanto, c = 8

Necesario

24 / c

= 24/8

= 3

Por tanto, el resultado de 24 / c es 3

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