The first term in an arithmetic sequence is 5. The third term in the sequence is -1. The tenth term in the sequence is -22.

Which function can be used to find the nth term of the arithmetic sequence?



A.
An = -3n + 8

B.
An = n + 4

C.
An = 0.5(n+5) +2

D.
An = -n

Answers

Answer 1

Answer:

              A.               aₙ = -3n + 8

Step-by-step explanation:

You just simply check, the terms:

A.

    [tex]a_1=-3(1)+8=-3+8=5\\a_3=-3(3)+8=-9+8=-1\\a_{10}=-3(10)+8=-30+8=-22[/tex]      YES

B.

   [tex]a_1=1+4=5\\a_3=3+4=7\ne-1[/tex]   NOT

C.

  [tex]a_1=0.5(1+5)+2=0.5(6)+2=3+2=5\\a_3=0.5(3+5)+2=0.5(8)+2=4+2=6\ne-1[/tex]   NOT

D.

[tex]a_1=-1[/tex]   NOT


Related Questions

_____are agents that can cause infection and disease.

Answers

It could be any of the five groups: viruses, bacteria, fungi, Protozoa, and helminths (worms).

Marla is solving the equation shown below. Two of her friends, Peter and
Uma present equations that they claim are equivalent to Marla's. Which
statement is correct about their equations.
=
Marld's equation :
[(x + 5) + x ] + 8 15
Peter's equation : (x + (5 + x)] + 8
+ 8 = 15
Uma's Equation : (x + 5) + (x + 8]
= 15
Only Peter's equation is equivalent to Marla's
Only Uma's equation is equivalent to Marla's
Both Peter and Uma have written equations that are equivalent to Marla's.
Neither Peter nor Uma's equations are equivalent to Marla's.

Answers

Answer:

2(2x +4y) +(3x -y) = 2(10) +(8)

.. 7x +7y = 28

Marla has incorrectly calculated the constant as 12. It should be 28.

Step-by-step explanation:

FIRST TO ANSWER GETS BRAINLIEST!

Answers

35= -160/9 is the answer

Factor x^2 -5x - 14 ??

Answers

Answer:

=(x-7)(x+2)

Step-by-step explanation:

Answer:

[tex]x {}^{2} - 5x - 14 \\ = x {}^{2} - (7 - 2)x - 14 \\ = x {}^{2} - 7x + 2x - 14 \\ = x(x - 7) + 2(x - 7) \\ = (x - 7)(x + 2)[/tex]

Thank you ☺️☺️

What does E =mc2 equal

Answers

Answer:

E=mc2 ................

E=mc2 is Energy equals mass times the speed of light squared.

Mind-BLOWN lol

given the functions
question in attachment

Answers

The answer shows in the picture

What is the sum of 3b(b - 4) and 6 (b – 8)?
A
36(1 – 26 – 16)
B
36(6 – 2 – 16)
3(62
2b - 16)
3(62 – 2 – 166)

Answers

B= 6 +/- square root of negative 28 /2

Solve -4 x (- 10.5 )
40.5
14.5
42.4
42

Answers

It’s 42 if you need work tell me

3/4 +z greater than or equal to -3/4 I’m am looking for what Z equals

Answers

Answer:

z is greater than or equal to negative three halves

Step-by-step explanation:

subtract 3/4 from each side then simplify.

17. What is the annual salary for a person who earns a
weekly
salary of $560.00?

Answers

Answer:

$29120

Step-by-step explanation:

There are 52 weeks in a year.

52 x 560 = $29120

Solve 5x – 2y = 11 for y.​

Answers

answer
42

step by step
5 times 11 - 2 times 11

Which figure is symmetric with respect to a point?

Answers

Answer:

B.

Step-by-step explanation:

I just did it on edg

Answer:

B

Step-by-step explanation:

Did it on edge

Please Help!! I don’t understand this!!

Answers

Answer:

d=3

Step-by-step explanation:

so yu do 18+18 and yu get 36 and then you do 43+3 vause that is how muvk the lockers cost

Answer:

$2

Step-by-step explanation:

Fees = $18

Locker fee =$d

Total cost for 2 people,including locker for 2 people

=$40

2($18 + d) = $40

$36 +2d = $40

2d = $4

d = $2

if you want to check

Fees for one people =$18

Two people =$18 × 2 = $36

Total cost for 2 people - locker for 2 people = $40 - $ 2($2) = $40 - $4 = $36

6 pack of soda costs $2.40. A 12 pack of the same soda costs $5.40. Which is the better deal? Explain your reasoning.

Answers

Answer:

The 6 pack

Step-by-step explanation:

I say this mainly because if you buy two 6 packs of soda that will add up to 4 dollars and 8 cents which is cheaper than the 12 pack.

Can someone help me with this? I don’t understand this that well.

Thank you.

(P.S, will give Brainliest to whomever gets it correct first.)

Answers

Answer: 1, 3, and 5 I think

Step-by-step explanation:

Rational numbers are numbers that can be written as quotients

A bike shop has 11 1111 red bikes, 3 33 blue bikes, 4 44 orange bikes, and 12 1212 silver bikes. For every 1 11 orange bike, there are 3 33 _ _ _ _ _ _ _ _ _ _________\_, \_, \_, \_, \_, \_, \_, \_, \_. Choose 1 answer: Choose 1 answer: (Choice A) A Red bikes (Choice B) B Blue bikes (Choice C) C Silver bikes

Answers

Answer:

C. Silver bikes

Step-by-step explanation:

Given that:

Number of red bikes at the bike shop = 11

Number of blue bikes at the bike shop = 3

Number of orange bikes at the bike shop = 4

Number of silver bikes at the bike shop = 12

Let us find the ratio of each bike with orange bikes to find the answer.

Orange bikes: Red bikes = 4 : 11

i.e. for every 4 orange bikes, there are 11 red bikes.

Orange bikes: Blue bikes = 4 : 3

i.e. for every 4 orange bikes, there are 3 blue bikes.

Orange bikes: Silver bikes = 4 : 12 = 1 : 3

i.e. for every 1 orange bike, there are 3 silver bikes.

Therefore, the answer is:

C Silver bikes

What is the factor of 3x2-9x-12?

Answers

Answer: 3x² - 9x - 12 =

3(x² - 3x - 4) =

3(x² + x - 4x - 4) =

3(x(x+1)-4(x+1)) =

3(x+1)(x-4)

Step-by-step explanation:

Answer:

[tex]3 \times 2 - 9x - 12 \\ = 6 - 9x - 12 \\ = 6 - 12 - 9x \\ = - 6 - 9x \\ = - 3(2 + 3x)[/tex]

I hops this helps you ☺️☺️

Thank you ☺️☺️

8th grade math: Mr. Giles has 6 horses; each horse eats about 85 pounds of feed per year.
How many pounds of feed will 6 horses eat in 1 years?

Answers

Answer:

510 pounds

Step-by-step explanation:

6x85=510

How much would you have to deposit today to have an accumulated amount of $20,000 in 20 years if yearly interest is 4.75% compounded continuously?

Answers

Answer: $7734.82

Step-by-step explanation:

You would use the equation F=Pe^rt because the interest is continuous.

What we know:

F= 2000

r= 4.75%

t= 20

Plug in the information to the equation: 2000=Pe^.0475*20.

Because we need P by itself, you would divide the e^rt on both sides so then they cancel out and you get 2000/e^.0475*20 = 7734.820469.

Rounding it to the hundredth place, you’ll get $7734.82

Hope that this helps :)

The Homerun Hitter’s Academy charges thirty-five dollars per hour for batting lessons, with a registration fee of fifteen dollars per year. Janice’s parents paid $155 in the month of August.

Answers

Answer:

h==4

Thank me later :)

Answer:

15+35h=155

h=4

Step-by-step explanation:

What is the goal of solving an equation

Answers

Answer:

To get your variable to one side of the equation and a number on the other side to solve your problem.

True or false? The graph represents a function

Answers

Answer:

False. This is not a function.

Step-by-step explanation:

By using the vertical line test, it shows that this graph is not a function. The imaginary vertical line would go through the graph twice. To be a function, the imaginary vertical line can only go through once.

The statement is false because if the red line had a vertical line going through it the line would hit it twice as shown in the picture below

The function f(x) = 4x + 10 models the amount of money Francis makes when babysitting for x hours. How much money will he make
for 2 hours of babysitting work?
18
-3
-2
2

Answers

Answer:

18

Step-by-step explanation:

You plug in 2 hours as your x value. You get 4(2) + 10 = 18.

The amount of money he will make for 2 hours of babysitting work is 18 dollars.

What is a function?

The function is a type of relation, or rule, that maps one input to a specific single output.

We have been given that the function f(x) = 4x + 10 models the amount of money Francis makes when babysitting for x hours.

Plug in 2 hours as x value.

f(x) = 4x + 10

f(2) = 4(2) + 10

f(2) = 8 + 10

f(2) = 18

Hence, he will make 18 dollars for 2 hours of babysitting work

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

Un depósito de agua se llena en 5 horas empleando el grifo A, y, en 2 horas empleando el grifo B. Si se emplean ambos grifos simultáneamente. ¿Cuánto se demoran en llenar el depósito de agua?

Answers

Answer: Sí papi

Step-by-step explanation:

Q2 - Expected and observed frequencies

It is beleived that a 6-sided dice is biased so that:

If you roll the dice 360 times, what is the expected frequency for each score?

P(1) = 0.1 P(2) = 0.15 P(3)= 0.05 P(4) = 0.2
P(5) = 0.2 P(6) = 0.3


Score | 1 2 3 4 5 6
expect| ***6 boxes are here**
-ed |
frenqu|
-ency |

—————————

In fact the observed frequencies are as follows:

Score 1. 2. 3. 4. 5. 6
Observed. 39 59. 17. 71. 78. 96
frequency

What does this tell you?
1. the model seems reasonable
2. the model is wrong
3. you need to buy a new dice

Answers

Answer:

1 and 3. For 1, look below. You really do need to buy new dice.

Step-by-step explanation:

For the sake of simplicity let's turn all these decimals to ratios.

Divide all by 0.05, then let's add the observed frequency on top. Then we can divide the big number by the small one.

2 - 39: 20

3 - 59: 20

1 - 17: 17

4 - 71: 18

4 - 78: 20

6 - 90: 15

It's up to you to decide if the model is reasonable. To me, it is.

5(x+4)> 2x-7 solve the inequality

Answers

Answer:

-9>x

Step-by-step explanation:

5(x+4)>2x-7

5x+20>2x-7

5x+20>2x-7

    +7           +7

5x+27>2x

        ↓

5x+27>2x

-5x        -5x

27>-3x

      ↓

27>-3x

-3     -3

= -9>x

Someone help me please I need to Convert 72F to C (Rounded to the nearest tenth).

Answers

Answer:

22.2°C

Step-by-step explanation:

(72°F − 32) × 5/9 = 22.222°C

20 POINTS HURRY

What is the value of c in the equation 3/5x=-45

Answers

Answer:

x= -1/75

Step-by-step explanation:

Answer:

there is no c

Step-by-step explanation:

What is the equation and the slope of each of the following lines ?

Answers

Answer:

create a graph

Step-by-step explanation:

like this

X Y

-3

0

3

and solve for y

Y=3x I just know so yea

Solve for x.
32 – 8 < 23
OR
4x + 26 > 6

Answers

Answer:

32-8< 23

24< 23

4x + 26>6

4X +26> 6 + 26 move the constant to the right

4x =32  divide both sides by 4

  x=  8

Step-by-step explanation:

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