Write a recursive formula for the sequence of numbers.

Write A Recursive Formula For The Sequence Of Numbers.

Answers

Answer 1

9514 1404 393

Answer:

  a[1] = 3

  a[n] = 2×a[n-1] +1

Step-by-step explanation:

We observe the first differences are ...

  7-3 = 4

  15-7 = 8

  31-15 = 16

  63-31 = 32

The first differences increase by a factor of 2, so we expect the recursive formula will have a term that looks like "2×a[n-1]".

The second term is 2·3+1 = 7.

The third term is 2·7+1 = 15.

This suggests our recursive formula is ...

  a[1] = 3

  a[n] = 2×a[n-1] +1


Related Questions

Maria has a part-time job
- she works x hours each day that she works
- to get to work, Maria pays for a round-trip ticket each day

The amount Maria earns in a month, less travel expenses can be found using this expression.

8(14x - 3)

what much is Maria paid per hour, in dollars?
how much is does maria get paid per day, in dollars?
how many days does Maria work in a month?
how many dollars does it cost Maria to buy a round-trip ticket?

Answers

Answer:

14 dollars per hour

14x per day

works 8 days a month

bus ticket cost 3 dollars

ONLY NEED ONE MORE!!!!!!!!!!!!!!!!!!!!!!!! BRAINLIEST!!!!!!!!!!!!!!!!! SMART GUY

Answers

Are we supposed to answer something?

Also Woww! :00

The chart shows the gumball colors in a machine and the probability of getting each color gumball out of the machine. Which. color gumball is least likely to come out of the machine.


Answers

Answer:

red

Step-by-step explanation: convert all of the fractions to have same denominator which would be 20 and see which is the smallest

Answer:

a) red

Step-by-step explanation:

make all denominators the same.

red= 3/20

yellow= 8/20

green= 5/20

purple= 4/20

Help plzzz ASAP!!!!:,(

Answers

Answer:

[tex]180 - 35 - 72 = 73[/tex]

Ratio Word Problems
If a machine that runs 24 hours a day
can make 144 toy cars per day, how
many toy cars can it make per hour?

Answers

Answer:

6 toys per hour

Step-by-step explanation:

144 ÷ 24 = 6

6 per hour :-D

144/24=6

Select all expressions that are equivalent to − 4 ( x + 2 ) − 2 x + 4 .

A; -6x -4
B; -4x + 2 - 2x + 4
C; -10x
D; -4x + -8 - 2x + 4
E; −4x + −8 − 2x + 4
F; -4x - 2x - 8 + 4

Answers

Answer:

A), D), E), F).

Step-by-step explanation:

Ahsissjhwusuaydgshahshsus HELPPPPPPPPPPPP MEEEEEE

Answers

Answer:

the asnwer is 1/4

Step-by-step explanation:

4 quarts equal to 1 gallon and 4-3=1 so it should be 1/4

need help. If u answer fast or if u are first i will give u brainliest

Answers

Answer:

It is correct.

Step-by-step explanation:

You answer it correct in the picture

Two-Way Tables
Laura wants to know whether the top golfers in the world tend to be American. To do this, she searches the Internet to find the current top-20 male golfers and top-20 female golfers and records whether they are American. This two-way table shows her data. Keep the two way table window open as you work on the tasks.


Male Female
American 11 6
Not American 9 14

Part A
Find the relative frequencies by rows.

Part B
Find the relative frequencies by columns.

Part C
Of the male golfers, do the top golfers tend to be American? Why or why not?

Part D
Of the female golfers, do the top golfers tend to be American? Why or why not?

Part E
Of the Americans, are the male golfers or the female golfers more likely to be highly ranked?

Part F
Of the non-Americans, are the male golfers or the female golfers more likely to be highly ranked?

Answers

Answer:

A.To convert counts into relative frequencies, divide the count by the total number of items. In the above table, the first count is for men / Rom-com (count=6), so 6/60 = 0.1. Like the two-way frequency table, the totals in the right column and bottom row are called marginal distributions.

B.The sum of the relative frequency column is 2020, or 1.

The last entry of the cumulative relative frequency column is one, indicating that one hundred percent of the data has been accumulated.

C.(i cant find it)

D.also cant find

E. sorry cant find

F.same with this one

Step-by-step explanation:

Sorry i got the first 2 tho

Answer:

Part A

Find the relative frequencies by rows.

                       Male   Female    Total

      American|| 11     ||    6        ||  17

Non-American|| 9    ||   14        ||  23

________________________________

Part B

Find the relative frequencies by columns.

                        Male    Female

American       || 11      || 6

Not American||   9    || 14

Total               ||  20  || 20

________________________

Part C

Of the male golfers, do the top golfers tend to be American? Why or why not?

Answer: Yes, the top golfers tend to be American because in the charts there are more American men than non-American men.

Part D

Of the female golfers, do the top golfers tend to be American? Why or why not?

Answer: The top golfers of the females don't tend to be American because in the charts there are more non-American women than American women.

Part E

Of the Americans, are the male golfers or the female golfers more likely to be highly ranked?

Answer: The American male golfers are more likely to be highly ranked.

Part F

Of the non-Americans, are the male golfers or the female golfers more likely to be highly ranked?

Answer: Of the non-Americans, the female golfers are more likely to be highly ranked.

Step-by-step explanation:

Hope this helps anyone who needs it. Goodluck on anything else!

For the triangles to be similar by the SSS similarity
theorem, what must be the value of y?

Answers

Answer:

20

Step-by-step explanation:

20

Answer 20

Step by step Explanation

20

PLEASE HELPPPPPPPPPPPP

Answers

Answer:

Taxes: 16%

Clothing: 13%

Insurance: 7%

Step-by-step explanation:

Please help, If you can't help that is fine but if you can it would be appreciated :)

Answers

Answer:

the answer is B

Step-by-step explanation:

-4 * box

and you know that is meant to be 8 so you have to ask what would x 4 and give you -8 so you do -8/-4 to give you 2 so that means you know that that is -4 * 2 which would give you - 8 then that will replace all the other missing box.

Bill has saved $825 from his last 8 paychecks. He saved either $75 or $150 a paycheck. Formulate and solve a system of equations. to determine how many times bill saved $75 from his paycheck.

Answers

Answer: 5 times

Step-by-step explanation:

Let the number of times that he saved $75 be x.

Let the number of times that he saved $150 be y.

Therefore, based on the information given in the question, we can form an equation which will be:

x + y = 8 ...... i

75x + 150y = 825 ....... ii

From equation I,

x + y = 8

y = 8 - x....... iiii

Put equation iii into ii and this will be:

75x + 150y = 825

75x + 150(8 - x) = 825

75x + 1200 - 150x = 825

75x - 150x = 825 - 1200

-75x = -375

x = 375/75

x = 5

He saved $75 5times from his paycheck.

A boutique is offering a 15% discount for cash. Calculate the cash price for a dress if the marked price is $125.​

Answers

Answer:

106.25

Step-by-step explanation:

125x.15 (15% discount)=18.75 discount

125-18.75=106.25

This area model can be used to determine the product of 862 × 7. Which equation describes the multiplication calculation?

Answers

Answer:

800 × 7 + 60 × 7 + 2 × 7

Step-by-step explanation:

The area of the figure equals :

Area of rectangle = Length * width

Width = 7

Length = 862

862 in expanded form:

800 + 60 + 2

Hence, Multiplying the expanded form by the width ;

(800 + 60 + 2) * 7

800*7 + 60*7 + 2*7

Please help me this is urgent. I need a,b, and c done. This is my last question then I’m done with all my math missing assignments.

Answers

A
1 drink 0.55
2 drinks 1.10
3 drinks 1.65
4 drinks 2.20
B y= 0.55 x

C 12.10

Which is equivalent to 5 × 9 × 8?

72 × 8

45 × 72

45 × 9

5 × 72

Answers

Answer:

5×72

ggggggggggggggggggg

Answer:

5 x 72

Step-by-step explanation:

It says I have this wrong I’m very confused as the calculator says this is correct? Im in need of a lot of help and it would be very appreciated if someone could provide the answer

Answers

The answer will be 100.48

If we take π = 3.14.

PLEASE HELP ME
PLEASE TELL ME THE ANSWER AND A WAY TO SHOW ME WORK TY

Answers

Answer:

(9+13)/2*10

=22/2*10

=11*10

=110

Step-by-step explanation:

First, we figure out the formula for areas of trapezoids is (a+b)/2*h.

Next, we plug in the numbers which will give use the equation:

22/2*10

Lastly, we solve:

11*10=110

reciprocal of a number
2/9......-7/6......8/3

Answers

Answer:

[tex] \frac{2}{9} = \frac{9}{2} [/tex]

[tex] \frac{ - 7}{6} = \frac{ 6}{ - 7} [/tex]

[tex] \frac{8}{3} = \frac{3}{8} [/tex]

PLEASE HURRY
How do i solve these problems

Answers

Answer:

X = 13

X = 70

Step-by-step explanation:

1. Since it is a right angle set the equation up as X +2 + 75 = 90.

X =13

2. Set up x - 20 + 40 = 90 since right triangles are 90 degrees

x = 70

40 POINTS QUESTION
PLS HELP

A Ferris wheel with a radius of 19m rotates once every 56 seconds. The top of the
wheel is 42.5m above the ground.

Determine a sine and cosine equation of the function that gives the rider's height
above the ground in metres, as a function of time, in seconds, with the rider starting
at the bottom.​

Answers

Answer:

(First of all its 20 points not 40 but any ways) A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the ferris wheel is 2 m above ground. It rotates every 36 seconds. Determine height above the ground after 15 seconds algebraically. Determine seconds to the nearest tenth when height is 38 m above the ground algebraically.

**

let t=seconds after wheel starts to rotate.

let h=meters above ground after wheel starts to rotate

..

The formula I got: h(t)=20sin(πt/18)+22

This is close to the formula you got, except I left the negative sign out since passengers start to rise after the wheel starts going counter-clockwise.

..

After 15 seconds:

h=20sin(15π/18)+22

=20sin(5π/6)+22

=20*(1/2)+22

=32 m

..

When h=38 m

38=20sin(πt/18)+22

38-22=20sin(πt/18)

20sin(πt/18)=16

sin(πt/18)=16/20=4/5=.8

arcsin(.8)=0.927

πt/18=0.927 (radians)

t=(.927*18)/π≈5.31

..

height above the ground after 15 seconds≈38 m

seconds elapsed when height is 38 m above ground≈5.3 seconds

Please help if you can!

Answers

9514 1404 393

Answer:

  y = 1/2x^2 +x -15/2

Step-by-step explanation:

The vertex is the point where the graph reaches is extreme: (-1, -8). The y-intercept is (0, -7.5). The x-intercepts are (-5, 0) and (3, 0).

When the quadratic is written in the form ...

  y = x^2 +bx +c

the value of b is the opposite of the sum of the x-intercepts. The value of c is their product. These facts would give ...

  y = x^2 -(-5 +3)x +(-5)(3) = x^2 +2x -15

The constant in this equation is -15, which is the value y has when x=0. Our actual y-intercept is half that, so the graph we see is this equation scaled by a factor of 1/2:

  y = 1/2x^2 +x -15/2

_____

Alternate solution

You can start with the vertex form.

  y = a(x -h)^2 +k . . . . . . . vertical scale factor 'a' and vertex (h, k)

On the graph, the vertical scale factor is the vertical difference between the low point (vertex) and the point that is 1 unit right or left. Here, that is ...

  -7.5 - (-8) = 0.5 = a

We've already said the vertex is (h, k) = (-1, -8), so the vertex form equation is ...

  y = 0.5(x +1)^2 -8

We know the square of a binomial is (a+b)^2 = a^2 +2ab +b^2, so we have ...

  y = 0.5(x^2 +2x +1) -8

  y = 0.5x^2 +x +0.5 -8 . . . . . eliminate parentheses

  y = 0.5x^2 +x -7.5

What is the probability that a randomly chosen person from this group is a junior?
A .18
B .52
C .26
D .44

Answers

Answer:A

Step-by-step explanation:

Andrew runs around a circular track each morning. The diameter of the track is
approximately - mile. Approximately how far does Andrew run if he
completes 11 laps around the track?

Answers

Answer:

approximately 1/4 mile

Andrew runs around a circular track each morning. The diameter of the track is approximately 1/4 mil

Answer: 1/4

Step-by-step explanation:

pls help!!!!!!!!!!!!

Answers

I think the answer to your question is F.)
The answer is F, because debit card is the money you have in the bank and it says that he does not have enough money in the bank.

Write this expression in the fewest number of terms: x+3y+2x+10+2y+12

Answers

Answer:

3x+5y+22

Step-by-step explanation:

Answer:

3x + 5y + 22

Step-by-step explanation:

Given expression:- x + 3y + 2x + 10 + 2y + 12

Here, you can add all the 'x' terms together and 'y' terms together.

There is an 'x' and '2x'.

On adding them, you get 2x + x equals 3x.

Then add the 'y' terms

There is a '3y' and a '2y'. On adding them, you get 3y + 2y equals 5y.

Then add the numbers that are left. 12 and 10.

12 + 10 equals 22.

Then take all the values we got after addition:- 3x, 5y and 22.

2x, 5y and 22 cannot be added together. So, the expression in the simplified form would be:-

3x + 5y + 22

............................ ​

Answers

Answer:

A.) Modal number of teachers in a car is 3.

B.) Median number of teachers in a car is 3.

C.) Mean number of teachers in a car is 2.5.

Order these numbers from least to greatest.
79/20, 3.702, 3 10/11, 3.70

Answers

Answer:

3.70 < 3.702 < 3 10/11 < 79/20

Step-by-step explanation:

Solve for b
4b+5=1+5b

Answers

Answer: b=4

Step-by-step explanation: 4b+5=1+5b = B = 4

Answer:

b = 4

Step-by-step explanation:

subtract 4b from 5b and you get 1b. subtract 1 from 5 and u get 4 = 1b. divide both sides by 1 therefore b = 4

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