Write an recursive formula for An, the nth term of the sequence
5, -2, -9,

Answers

Answer 1

Given:

The given sequence is:

[tex]5,-2,-9,...[/tex]

To find:

The recursive formula for [tex]a_n[/tex], the nth term of the sequence.

Solution:

We have,

[tex]5,-2,-9,...[/tex]

Here, the first term is 5.

[tex]-2-5=-7[/tex]

[tex]-9-(-2)=-9+2[/tex]

[tex]-9-(-2)=-7[/tex]

The common difference is -7.

The recursive formula for the nth term of the sequence is

[tex]a_n=a_{n-1}+d[/tex]

Where, [tex]d[/tex] is the common difference.

Putting [tex]d=-7[/tex] in the above formula, we get

[tex]a_n=a_{n-1}+(-7)[/tex]

[tex]a_n=a_{n-1}-7[/tex]

Therefore, the recursive formula for the nth term of the sequence is [tex]a_n=a_{n-1}-7[/tex].


Related Questions

Please help I’ll mark you as brainliest if correct

Answers

Answer:

The Bakery will sell 22 more vanilla cupcakes than lemon cupcakes.

Step-by-step explanation

Ruling out the answers here, with the first answer you can get that by looking at the graph and can be supported with the data set. With the third answer that can also be supported by the data set and is a educated prediction. And for the fourth answer same thing as the last ones. The only one that wouldn't make sense if you were trying to support it with the data of cupcakes would be the second answer. Which therefore should be your answer.

Suppose 10 tosses of a coin were all heads, and you switch to a new coin. What is the probability of tossing this new coin and getting another head?​

Answers

Answer:

50% or 1/2 Could be 100% but i think it is 50%

Step-by-step explanation:

Because Changing the coin will make no difference.

The probability of getting heads is same as the probability of tails which is [tex]\frac{1}{2}[/tex].

What is the probability?

The concept of probability is used to assign a numerical description to the likelihood of occurrence of an event.

Probability can be defined as the number of favorable outcomes divided by the total number of possible outcomes of an event.

Here given that,

The [tex]10[/tex] tosses of a coin were all heads, and you switch to a new coin.

So, the probability of getting all heads is [tex]2^{-n}[/tex]

And we have [tex]n=10[/tex],

Then, the probability of getting the heads is

[tex](^{n}C_k)(\frac{1}{2})^k(\frac{1}{2})^{n-k}=2^{-n}(^nC_k)[/tex]

Hence, the probability of getting heads is same as the probability of tails which is [tex]\frac{1}{2}[/tex].

To know more about the probability

https://brainly.com/question/26257968

#SPJ2

The Least Squares Assumptions ​, where 1. The error term has conditional mean zero given ​: ​; 2. ​, are independent and identically distributed​ (i.i.d.) draws from their joint​ distribution; and 3. Large outliers are​ unlikely: and have nonzero finite fourth moments. Suppose the first assumption is replaced with . What happens to ​? A. The slope changes to . B. The intercept changes to . C. Nothing changes. D. Both the intercept and the slope change to and respectively. Are the rest of the OLS assumptions​ satisfied? A. OLS assumption​ (3) is satisfied but not​ (2). B. Both OLS assumptions​ (2) and​ (3) are satisfied. C. OLS assumption​ (2) is satisfied but not​ (3). D. Neither OLS assumption​ (2) nor​ (3) is satisfied.

Answers

Step-by-step explanation:

is satisfied but not (3). D. Neither OLS assumption (2) nor (3) is satisfied.

Please help me :) I will give BRAINLIEST !! Please help it’s so confusing for me!

Answers

Answer:

Step-by-step explanation:

HELPPPPPPP I'LL GIVE BRAINLY

3x + 5 ≤ -13

Answers

Answer:

x <-6

Step-by-step explanation:

Oscar worked 40 hours last week. He had $160 deducted from his earnings for taxes. If he had $480 left
after the deduction, how much does Oscar earn per hour ?

Answers

He makes 4$ per hour. Hope this helps <3

Please answer quickly! Will mark brainliest

Answers

Answer: C) 1/a^12•b^8

Step-by-step explanation:

What is the answer please I need help if you send a link I will report because your just trying to scam someone

Answers

Answer:

The median is 6.

Step-by-step explanation:

2. Moore has 20 songs. His friend bought him M more
songs. Write an expression that shows how many songs
Moore has now.

Answers

Answer:

20+m

Step-by-step explanation:

Answer:

20+m=?

Step-by-step explanation:

if moore already has 20 songs and his freind brought m more books then we would need to find the total amount of books more has now.

Side A=3 cm
Side B=?
Side C( Hypotenuse)=6 cm
Find missing side of right triagle using Pythagorean Theorem
a
3 cm
3 square root (5) cm
3square root (3) cm
6 cm

Answers

Answer:

3sqrt3 cm

Step-by-step explanation:

6^2-3^2

36-9=27

sqrt27 = 3sqrt3

Answer:

c. 3 square root ( 3 ) cm

Step-by-step explanation:

C^2 = A^2 + B^2

A^2 = C^2 - B^2

= 6^2 - 3^2

= 36 - 9

A^2 = 27

A = 3√3 cm

Which point is at 1 on the number line?

Choose 1 answer:

(Choice A)

A

(Choice B)

B

(Choice C)

C

(Choice D)

D

Answers

Need a picture to answer the question

question is in picture :) also pls explain (if u can)

Answers

The m’s would all be the same number.Another way of adding the same number to each other would be to multiply that number by the number of times you want to add it to each other.

With m + m + m you are adding it 3 times.

So instead multiply m by 3:

The answer is 3m

Answer:

Solution :-

In the Question the concept used is the algebra

We know that

[tex] \sf \: x \times x = {x}^{2} [/tex]

and

[tex] \sf \: x + x = 2x[/tex]

Similarly

[tex] \sf \: m + m + m = 3m[/tex]

The method is also known as property of addition in algebra

PLEASE HELP!!! i’m mid test
Question 16
Round to the nearest tenth, if necessary.
Find the distance between (4, 16) and (12, 27).

Answers

the answer should be 13.6 in decimal form

Answer:

[tex]\sqrt{185}[/tex] or 14 (13.6)

Step-by-step explanation:

Compute the distances between

[tex]\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

The distances between ↑ are

[tex]\sqrt{\left(12-4\right)^2+\left(27-16\right)^2}[/tex]

Simplify

[tex]\sqrt{185}[/tex] or 14

hope this helps

~R3V0

A resort hotel rents bicycles for 20 plus and hourly rate of $6. A nearby hotel rents bicycles for 15$ plus an hourly rate of $8​

Answers

What are you trying to slove?

Brainliest for correct answer

Answers

the answer is D i’m sure

Find the slope and the y intercept

Answers

Slope = 4/3
Y intercept = (0,2)

What is the area of the square pictured here?
2 in.
2 in.

Answers

Answer:

4in

Step-by-step explanation:

To find area, you must multiply the given measurement.

2x2=4

Area= 4in

Answer: 4 in
Hope this helps:)

Two hockey teams, the Winnipeg Jets (yay!) and the Toronto Maple Leafs (boo!), miraculously make it to
the Stanley Cup finals. As soon as a team wins 3 games, the championship is over.
The schedule for the playoffs (for home games) is: Jets - Leafs - Jets - Leafs - Jets
If the Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is
a 45% chance they'll win.
Find the probability that the Jets win the Stanley Cup. Round answers to at least 4 decimal places.
Can anyone help me please. No links please

Answers

Answer:  58 .23

Step-by-step explanation:

Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is

a 45% chance they'll win.

find dy/dx if x =2-3t/1+t y= 3+2t/1+t​

Answers

.....................................

Help me please it’s for math class

Answers

Answer:

No solution

Step-by-step explanation:

To start, a solution requires the lines to intersect

However both lines share a slope of -3 and are thus parallel

Since parallel lines dont intersect, there is no solution

Answer:

Hi! The answer to your question is A. No solution, i also have a picture to help you if u need it.  

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were
defective. A store clerk generates random numbers to simulate a random sample of this shipment. The
clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through
5,000 represent working MP3 players. The results are given.
638 430 240 3,932 4,477 670 3,059 13 3,144 3,844
Based on this sample, how many of the MP3 players might the clerk predict would be defective?
The manager would expect
defective players in the shipment.

Answers

The sample was 10 numbers.

4 of the numbers are less than 301.

So 4 out of 10 would be defective.

4/10 = 0.4 x 100 = 40%

He would expect 40% to be defective.

Answer:

86 i think

Step-by-step explanation:

Raymond kept track of the number of hours that he spent practicing the piano each week for several weeks. He spent 2, 4, 8, 6, and 5 hours. What is the range of the data set? B. 5 hours O A. 2 hours O O O D. 6 hours C. 8 hours​

Answers

The answer is D, 6 hours

Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at (6, –1).
What is u + v in component form?
⟨-10, -4⟩
⟨-5, -1⟩
⟨3, 9⟩
⟨5, 3⟩

Answers

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

[tex]u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)[/tex]

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

[tex]v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)[/tex]

What is u + v in component form?

[tex]u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)[/tex]

⟨-5, -1⟩ is the answer.

evaluate the intergral2x(xsquared+3)exponent 4​

Answers

Answer:

Step-by-step explanation:

I hope it helped you

Given that △DEF is a right triangle and that ∠E=90° with sides DE¯¯¯¯¯=3, DF¯¯¯¯¯=5, and FE¯¯¯¯¯=4, which ratio would be equal to sin(D)?

Answers

9514 1404 393

Answer:

  sin(D) = 4/5

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

  sin(D) = FE/DF

  sin(D) = 4/5

Solve the following equation for x.

6x = 1.5

Answers

Answer:

x = .25

Step-by-step explanation:

6x = 1.5

Divide each side by 6

6x/6 = 1.5/6

Multiply the top and bottom by 10

x = 1.5*10/ (6*10)

x = 15/60

x = 1/4

x = .25

answer: x=0.25




work: 6x= 1.5

6x/6 = 1.5/6

simplify = 6 divided by 6 = 0
1.5 divided by 6 = 0.25

0.25 is the answer

PLEASE HELP !!

ILL GIVE 40 POINTS !

PLUS BRAINLIEST!!

NO LINKS OR FILES.

Answers

Answer: answer is C my fellow hooman

Step-by-step explanation:

Answer:

It is  B

Step-by-step explanation:

The number of items sold over a four-month period are: month 1 2 3 4 sales 5100 5500 5400 5600 Calculate the forecasts for the 4th and 5th months using 3-month weighted moving average method with weights of 0.6 for the most recent month and 0.3 for the next to the most recent month. Further, suppose that the exponential smoothing constant α=0.5. Then calculate the forecasts for 3rd, 4th and 5th months, using exponential smoothing method. Under the 3-month weighted moving average method, what is the forecast for the fourth month?

Answers

Answer:

By using 3-month weighted moving average method -

Forecasts for the 4th month = 5400

Forecasts for the 5th month = 5530

By using Exponential smoothing method -

Forecasts for 3rd month = 5300

Forecast for 4th month = 5350

Forecast for  5th month = 5475

Step-by-step explanation:

To find - Calculate the forecasts for the 4th and 5th months using 3-month weighted moving average method.

Calculate the forecasts for 3rd, 4th and 5th months, using exponential smoothing method.

Proof -

Given that,

month           1            2              3              4

sales         5100       5500     5400        5600

F(4) = 0.6 A(3) + 0.3 A(2) + 0.1 A(1)

      = 0.6 [ 5400] + 0.3 [ 5500] + 0.1 [ 5100]

      = 3240 + 1650 + 510

      = 5400

⇒forecasts for the 4th month = 5400

Now,

F(5) = 0.6 A(4) + 0.3 A(3) + 0.1 A(2)

      = 0.6 [ 5600] + 0.3 [ 5400] + 0.1 [ 5500]

      = 3360 + 1620 + 550

      = 5530

⇒forecasts for the 5th month = 5530

Now,

Given that, the exponential smoothing constant α=0.5

Month                   Sales                           Forecast

1                             5100                            5100

2                            5500                           5100 + 0.5(5100 - 5100) = 5100

3                             5400                          5100 + 0.5(5500 - 5100) = 5300

4                             5600                          5300 + 0.5(5400 - 5300) = 5350

5                                                                 5350 + 0.5(5600 - 5350) = 5475

∴ we get

By using Exponential smoothing method -

Forecasts for 3rd month = 5300

Forecast for 4th month = 5350

Forecast for  5th month = 5475

If the die is rolled 24 times, Find the experimental probability of rolling a 5. Simplify!

Answers

Answer:

gay

Step-by-step explanation:

Ok please help meeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

Volume of a cone is given by the formula,

V = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here, r = Radius of the circular base of the cone

h = Height

By substituting values from the question,

V = [tex]\frac{1}{3}\times \pi (\frac{6}{2})^2(3)[/tex]

V = 9π

V = 28.27 m³ [Nearest hundred]

If we have to round the answer to the nearest tenth, answer will be,

Volume = 28.3 m³

If we have have to round the answer to the whole number then the answer will be,

Volume = 28 m³  

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