Carlos and Ana were asked to find an explicit formula for the sequence -10,-4,2,8,...−10,−4,2,8,...Minus, 10, comma, minus, 4, comma, 2, comma, 8, comma, point, point, point, where the first term should be f(1)f(1)f, left parenthesis, 1, right parenthesis. Carlos said the formula is f(n)=-10+6nf(n)=−10+6nf, left parenthesis, n, right parenthesis, equals, minus, 10, plus, 6, n. Ana said the formula is f(n)=-10+6(n-1)f(n)=−10+6(n−1)f, left parenthesis, n, right parenthesis, equals, minus, 10, plus, 6, left parenthesis, n, minus, 1, right parenthesis. Which one of them is right?

Answers

Answer 1

Answer:

Ana is correct

Step-by-step explanation:

Given

[tex]Sequence:\ -10, -4, 2,8[/tex]

[tex]Carlos; f(n) = -10 + 6n[/tex]

[tex]Ana; f(n) = -10 + 6(n-1)[/tex]

Required

Determine who is right?

To do this, we simply test each sequence.

For Carlos:

When n = 1

[tex]f(1) = -10 + 6 * 1 = -10 + 6 = -4[/tex]

When n = 2

[tex]f(2) = -10 + 6 * 2 = -10 + 12 = 2[/tex]

This is incorrect because the first and second term of the sequence are -10 and -4 not -4 and 2

For Ana:

When n = 1

[tex]f(1) = -10 + 6(1-1) = -10 + 6*0 = -10 + 0 = -10[/tex]

When n = 2

[tex]f(2) = -10 + 6(2-1) = -10 + 6*1 = -10 + 6 = -4[/tex]

When n=3

[tex]f(3) = -10 + 6(3-1) = -10 + 6*2 = -10 + 12 = 2[/tex]

When n = 4

[tex]f(4) = -10 + 6(4-1) = -10 + 6*3 = -10 + 18 = 8[/tex]

This is correct.

Hence, Ana is correct

Answer 2

Answer:

Ana is right

Step-by-step explanation:

Mark the other person brainliest they did really good!


Related Questions

-28-4p=-4(p+7) please answer

Answers

All solutions are infinite

Explanation: if you do this problem, -4(p+7) it’s -4p-28

And when you do -4p + -4p it equals 0, then -28=-28 that means your solutions are infinite

Which is the formula for finding the sum of the interior angles of a polygon?
A. 180° (n – 1), where n is the number of sides
B. 90° (n – 2), where n is the number of sides
C. 90° (n – 1), where n is the number of sides
D. 180° (n – 2), where n is the number of sides

Answers

Answer:

The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon.

Step-by-step explanation:

Answer:

(n-2)x 180 degrees

Step-by-step explanation:

For f(x) = -7x + 14, evaluate f(3)​

Answers

Answer:

f(3) = -7

Step-by-step explanation:

f(3) = -7(3) + 14

f(3) = -21 + 14

f(3) = -7

Audrey wants to ride her bicycle 44 miles this week. She has already ridden 12 miles. If she rides for 5 more days, write and solve an equation which can be used to determine x, the average number of miles she would have to ride each day to meet
her goal.

Answers

Answer:

4

Step-by-step explanation:

10.187 electric poles were fixed along a road at a regular interval of 20m. What was the total
distance fixed with the poles in km?

Answers

Answer:

203.74

Step-by-step explanation:

10.187x20=203.74m

203.74 = 0.20374 kilometres

Ooooooooommkkekekeekkkekekeeekkeek leplelelellle

Answers

Step-by-step explanation:

Ooooooooommkkekekeekkkekekeeekkeek leplelelellle to u too

I need help thank you.

Answers

Answer:

x ≤ 1

Step-by-step explanation:

The graph goes in the left direction, meaning the inequality needs to be less than.

The point is at the point positive 1 and has a shaded dot, meaning the inequality needs to be less than or equal to 1.

Answer:

B

Step-by-step explanation:

x ≤ 1

As thee circle at 1 is filled,you have to include 1 also

Elaisha has her grandmother's amazing cooking recipes. She earns money by baking cupcakes for a local bakery. She gets $15 for each dozen cupcakes. If Elaisha does 8 dozen cupcakes in one week, how much will Elaisha earn?

Answers

Answer:

$120

Step-by-step explanation:

If she gets $15 per dozen, and if she does 8 dozens, we need to multiply 15 by 8. When we do this, we get 120. This means Elaisha earns $120.

Answer:

120 a week

Step-by-step explanation:

$15 times 8 dozen


What is the value of x in the equation 6(x +11)= -300?

Answers

Answer:

-61

Step-by-step explanation:

We use the distributive property to distribute 6 to both x and 11. This gives 6x+66=-300. Subtracting both sides by 66 gives 6x=-366. Dividing both sides gives x=-61.

please help me out! express the inequality using interval notation

Answers

Answer:

(7, ∞)

Step-by-step explanation:

Because x does not equal 7 as well, brackets won't be used here.

Because x can be any number greater than 7, this means the domain includes positive ∞.

Plsss help meee :)))

Answers

Answer:

6*(-5)

Step-by-step explanation:

Answer:

6 times -5

Step-by-step explanation:

Jennifer spends 1/4 of the day at school then 3/4 with her friends how much time does she do in a day​

Answers

she spends 1/4 of her day at school, this would be 8 hours out of 24 hours. which would be 8/24=1/4. therefore she spends 14 hours with her friends (3/4)

Need Help please!!!!!!!!

Answers

It’s c, all the other answers are far from the real answer

The number 7.2 can be classified as:
a. real and rational
b. real and irrational
c. real and integer
d. real and whole

Answers

Answer:
A

Explanation:
It’s a real number and 0.2 is not irrational

Area is often one step in solving a ____
problem.

Answers

Step-by-step explanation:

reality?????????????

What is the answer to (8y -6

Answers

Answer:

Step-by-step explanation:

Incomplete presentation of question.  Did you want to factor out the greatest common factor (which is 2), obtaining 2(4y - 3)?  Or something else?  Also:  please note that if you use the left parenthesis ) , you MUST also use the right parenthesis ( .

4(−5z+2)+(−6) using distributive property

Answers

Answer:

Step-by-step explanation:

-20z+8+(-6)

-20z+2

Answer:

it is (-20z+8)+(-24)

Step-by-step explanation:

the operation that is done here is multiplication. so, now you can just multiply each term, -5z times 4, 2 times 4, -6 times 4.

-5z times 4: -20z

2 times 4: 8

-6 times 4: -24

An international company has 21,900 employees in one country. If this represents 27.2% of the company's employees, how many employees does it have in total?
Round your answer to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

21,900 / 0.272  =  80,514.7

   

if a person walks 1/2 mile in 1/4 hour, how far does that person walk in 1 3/4 hours at that rate?​

Answers

Answer:

3 1/2 miles

Step-by-step explanation:

We can use a ratio to solve

1/2 mile           x miles

----------------= ---------------

1/4 hour           1 3/4 hours

Changing to improper fractions

1/2 mile           x miles

----------------= ---------------

1/4 hour         7/4 hours

Using cross products

1/2 * 7/4 = 1/4x

7/8 = 1/4x

Multiply each side by 4

7/2 = x

Changing back to a mixed number

3 1/2 =x

SOMEONE HELP ME PLZZZZZZZ
Femi and Hina are both travelling by train.
Femi's train travels 120 km in 90 minutes.
Hina's train travels 495 km.
It leaves at 12:05 and arrives at 17:35.
Work out the difference, in km/h, between the average speed of their trains.

Answers

Answer:

59400

Step-by-step explanation:

59400 is the actual answer

write the fraction 32/40 in simplest form

Answers

Answer:

4/5

Step-by-step explanation:

32/8=4

40/8=5

4/5

please I need this done

Answers

Hope this helps:) I tried to show my steps
same like that one i think i got it tight tried showing my steps how you get this question right :))

How long will it take a plane to fly 183 miles at 122 miles per hour

Answers

Answer:

Total time = 1.5 hours

Step-by-step explanation:

Given:

Total distance = 183 miles

Speed = 122 miles per hour

Find:

Total time

Computation:

Total time = Total distance / Speed

Total time = 183 / 122

Total time = 1.5 hours

Evaluate −6 − (−2). (1 point)

A.−4
B.−8
C.4
D.12

Answers

Answer:

A. -4

Step-by-step explanation:

−6 − (−2) = -6 + 2

              = -4

Hope this helped :)

A family of four drove from San Francisco to New York. They drove the same number of miles each 6 days. How many miles did they drive each day? How can you interpret the remainder?

Answers

Answer:

Step-by-step explanation:

Approximate distance between San Francisco and New York = 2903 miles

Number of family members = 4

Approximate distance to be covered by each member per day = [tex]\frac{2903}{4}[/tex] = [tex]725\frac{3}{4}[/tex] miles

Number of days to drive = 6 days

Total distance to be covered by each member each day = [tex]\frac{2903}{4}\times \frac{1}{6}[/tex]

                                                                                              = [tex]\frac{2903}{24}[/tex]

                                                                                              = [tex]120\frac{23}{24}[/tex] miles

Therefore, each family member has to drive the car for 120 miles per day approximately.

23 miles remaining will be covered by any one of the family members on the last day.

how do you calculate the profit​

Answers

Answer:

total money - total expences = profit

Total money is the money you make, so say you made $50

Total expences is how much you paid to have that thing made, say $10

50 - 10 = 40

the profit would then be $40

Sahak pays 11% sales tax on a trumpet that costs 750 dollars. How much does the sales tax add to the purchase price? Answer Choices: $834.25, $ 105.50, $82.50, $75.00

Answers

Answer:

82.5

Step-by-step explanation:

750 x .11= 82.5

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.

What is the greatest possible whole-number length of the unknown side?
2 inches
3 inches
7 inches
9 inches

Answers

Answer:

7

Step-by-step explanation:

The greatest possible whole-number length of the unknown side is 9 inches, option fourth is correct.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have:

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.

As we know, in the triangle, the sum of the two sides is equal and greater than the third side.

Mathematically,

x + y ≥ z

Here x, y, and z are the sides of the triangle.

12 + 14 ≥ x

x ≤ 26

The greatest possible whole-number length of the unknown side is 9 inches.

Thus, the greatest possible whole-number length of the unknown side is 9 inches, option fourth is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ2

Archie Baines
Arthur is organising his collection
of DVDs. He has 56 altogether.
The ratio of comedy films to
action to horror is 2 : 7:5

Answers

Step-by-step explanation:

x - is the amount of DVDs

so 2x + 5x + 7x = 56

14x = 56

x = 4

so comedy is 2x4 = 8; action 7x4 = 28 and horror is 5x4 = 20 DVDs

Can someone help me ASAP, please and ty! What is “ 3x^2 added to 6x^2” simplifed to?

Answers

Answer 9x^2

Step-by-step explanation:

3x^2+6x^2=9x^2

Answer:

9x^2

Step-by-step explanation:

3x^2 + 6x^2

9x^2

You do not multiply exponets, they stay the same.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

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