Which explicit formula generates the infinite sequence 2, 9, 28, 65, 126,.?
O a-n²
O a-n²+1
O a-n³
O a-n³+1
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Answers

Answer 1

Answer:

n^3 + 1.

Step-by-step explanation:

Each term is 1 more than a perfect cube.

2 = 1^3 + 1

9 = 2^3 + 1

28 = 3^3 + 1

65 =  4^3 + 1

126 = 5^3 + 1

So the explicit formula is n^3 + 1.

Answer 2

The explicit formula that generates the given sequence is indeed aₙ = n³+1.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The nth term of the sequence can be obtained by substituting n = 1, 2, 3, ... into the expression n³+1:

a₁ = 1³+1 = 2

a₂ = 2³+1 = 9

a₃ = 3³+1 = 28

a₄ = 4³+1 = 65

a₅ = 5³+1 = 126

Hence, the explicit formula that generates the given sequence is indeed aₙ = n³+1.

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Related Questions

Determine whether the second polynomial is a factor of the first.
6x2 + 5x +54; x-4
Select the correct choice below and fill in the answer box to complete your choice.
O A. No, because the polynomial 6x² + 5x + 54 evaluated at 4 is equal to
OB. Yes, because the polynomial 6x + 5x +54 evaluated at - 4 is equal to
OC. No, because the polynomial 6x + 5x +54 evaluated at - 4 is equal to
OD. Yes, because the polynomial 6x + 5x + 54 evaluated at 4 is equal to

Answers

Answer:

No, because the polynomial 6x² + 5x + 54 evaluated at 4 is equal to 170.

Step-by-step explanation:

A polynomial should have a factor (let's say a) that would make the polynomial equal to zero when we substitute that factor (a) into the polynomial.

HELP I NEED HELP ASAP

Answers

Answer:

C) Linear

Step-by-step explanation:

To find this, I turned the situation into an expression. The expression representing this would be: 2x + 5 (a linear function). The 2x represents how much his dad gives Joseph weekly. The 5 represents how much Joseph already has.

Hope it helps!

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Answers

Answer:

3 coefficient po

Step-by-step explanation:

sana maka tulong

workout the value of 2^0

Answers

Answer:

It just equals to 2

Step-by-step explanation:

Think of it as 2^1!

1.

The value of anything that has an exponent of 0 is always 1

7:5 is equivalent to...?​

Answers

Answer:

6:0

Step-by-step explanation:

Thank me later :)))))))))

Christina wants to buy shirts that cost $17.00 each. If x represents the number of shirts Christina buys, which equation shows the amount of money (M) she will pay for the shirts?

Answers

Answer: 17x

Step-by-step explanation:

From the question, we are informed that Christina wants to buy shirts that cost $17.00 each and we are further told that x represents the number of shirts Christina buys.

The equation shows the amount of money (M) she will pay for the shirts will be gotten by multiplying the amount of the each shirt by the total number of shirts bought. This will be:

= 17 × x

M = 17x

help pls ;;-;; ye thxs

Answers

Answer:

You still need help? :P

Step-by-step explanation:

Your mom purchased an antique lamp for $245. The value
of the lamp increases by 3.25% each year. Write an exponential
model that gives the value y (in dollars) of the lamp t years after
she purchased it. How much is it worth after 20 years? (Round
to the nearest whole dollar)

Answers

Answer:

y=245 * 1.035^t   $487.50

Step-by-step explanation:

y=245*1.035^20

y=245*1.9898

y=487.49827

Can anyone please help me this these questions:

1. $.50 is what percent of $2.00
2. $.02 is what percent of $2.00
3. $2.00 is what percent of two dollars

Answers

Answer:

1.

[tex]25\%[/tex]

2.

[tex].04\%[/tex]

3.

[tex]100\%[/tex]

Answer:

1 is 25% because .50 going into 2 00 4 times or 35%

2 is 10% because 02. is 10% of 2.00

4 is 100% because its all of the 2.00

Chad has a rope that is 24 yards long. How many pieces of rope measuring 4/7 of a yard can he divide his rope into?

Answers

Answer:

42

Step-by-step explanation:

Chad has a rope that is 24 meters long

He wants to divide the rope so each piece will be 4/7 yards

= 24÷ 4/7

= 24× 7/4

= 168/4

= 42

Hence he can divide the rope into 42 pieces

The bill at the restaurant was $18.79 estimate the amount to leave as a $10 tip

A. $2.00
B. $3.00
C. $9.00
D. $21.00

Answers

It has to at least be 9.00 bc i got 8.79

At the market you can buy six bags of apples for $25 at the archer you can get eight bags of Apple for $35 which is the better deal

Answers

Answer:

$25

Step-by-step explanation:

$ 25 the correct answer

Solve for x. Round to the nearest tenth as needed

Answers

Step-by-step explanation:

by Pythagoras :

H²= B²+ P²

(7+x)²= x²+ 9²

49 + 14x + x² = x²+81

14x = x² -x²+81 - 49

14x = 32

x = 32/14 = 16/7 = 2.28 cm = 2.30 cm

plz mark my answer as brainlist plzzzz.

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Why do economists use market values when calculating GDP?

Answers

Answer:

Economists use market values when calculating GDP, because if they used quantity terms, they would have multiple units of measurement. Whereas, when they use market values, they have one unit of measurement for all products and services.

Step-by-step explanation:

Solve the system of equations 2x - 2y = - 14 and 2x + 6y = - 6 by combining the equations.

Answers

sorrryy I don't know how to delete this so...

Step-by-step explanation:

step 1. first combine by subtraction.

step 2. 0x -8x = -8

step 3. y = 1

step 4. x = -6.

step 5. the answer is (-6, 1).

What is the value of x?​

Answers

x= 67°

hope that helps:)

A salesperson at a jewelry store earns ​8% commission each week. Last​ week, Ali sold $450 worth of jewelry. How much did Ali make in​ commission? How much did the jewelry store make from her ​sales?

Answers

Answer:

she earned 36$ and the store earned 409.5

Step-by-step explana

8% of 450

91% of 450

Purple Dog Pet Supply Inc. (PDPS) released its annual results and financial statements. Lucia is reading the summary in the business pages of today's paper. In its annual report this year PDPS reported a net income of $110,000. Last year, the company reported a retained earnings balance of $425,000, whereas this year it increased to $500,000. How much was paid out in dividends this year?

Answers

Answer:

$35,000

Step-by-step explanation:

The computation of the dividend amount is given below:

As we know that

Dividend Paid = Net income - Retained earnings for current year

where,

Retained earnings for current year = This year - last year

= $500,000 - $425,000

= $75,000

Now

Dividend Paid is  

= $110,000 - $75,000

= $35,000

If f(x)=7(x-1)+8f(x)=7(x−1)+8 , what is the value of f(1)f(1) ?

Offering 30 points,, please help! will mark brainliest:)

Answers

The solution to the given linear function at f(1) when calculated gives an output value of; 8

How to Solve Linear functions?

We are given the linear function represented by the equation;

f(x) = 7(x - 1) + 8

Now, to find f(1) simply means we substitute 1 for x in the given expression to obtain;

f(1) = 7(1 - 1) + 8

f(1) = 8

Thus, the solution is; f(1) = 8

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3x-2.(x+1)=-2 denklemini sağlayan, x'in değeri kaçtır? ​

Answers

Answer:

3x - 2(x +1) =-2

3x - 2x - 2 =-2

x = - 2 +2

x = 0

hope it helps

cupcakes and points for those who answer this question for me
(the screenshot)

Answers

Answer:

2.06

Step-by-step explanation:

The original decimal is 2.0625.

Since the thousandths place is 2, we can't round up. So we can keep the 6 which is in the hundredths place giving us 2.06

y/-9=1/18 solve for y

Answers

Answer:

y=-1/2

Step-by-step explanation:

Evaluate the expression when a=5 and b= -5.
-a +8b

Answers

We would just have to plug the numbers where the variables are.
- (5) + 8(-5)
-5 + -40
- 45 is your answer
-a + 8 b
-(5) + 8(-5)
-5 - 40
= -45

The square of an add number is

Answers

The power of is what it’s called

What is the slope of the line that passes through the points (3, -20) and (11, 16)?
please I'm being timed

Answers

Answer:

9/2

Step-by-step explanation:

(3, -20) & (11, 16)

To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(16 - (-20)) / (11 - 3)

Simplify the parentheses.

= (36) / (8)

Simplify the fraction.

36/8

= 9/2

9/2 is the most simplified fraction. This is your slope.

Hope this helps!

0.75 divided by 38.652

Answers

Answer:

0.019404

Step-by-step explanation:

0.75/38.652 is 0.019404.

Answer:

Divide  0.75  by  38.652  =

0.01940391

and

Divide  38.652  by  0.75 =

51.536

Step-by-step explanation:

Is it possible to construct a triangle with sides of lengths 40, 8, and 30?

Answers

Answer:

No, the two shorter sides must exceed the longer side.

Step-by-step explanation:

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compra de sus libros. Se desea conocer el costo de todos los libros comprados este año
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que en promedio realizan 6 visitas anuales al consultorio. En vista de los resultados el
ministerio de salud deberá aumentar los recursos en un 10%.

Answers

Answer:

Can I please help you? i need you to translate this to english for my effort

Step-by-step explanation:

A cat leaps from the ground into the air with an initial vertical velocity of 11 ft/s. After how many seconds does the cat land on the ground?

Answers

Answer:

11/16 of a second

Step-by-step explanation:

in sandy religious, a doodlebug digs a cone shaped pit to trap other insects. A typical pit has a radius of 1 inch and depth of 2 inches approximately how much sand would a doodle bug move to create the pit?
( PLEASE HELP ASAP)

Answers

Answer:

its c

Step-by-step explanation:

i took the test and got 100

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