Write a recursive rule for the sequence 4,10,16,22

Answers

Answer 1

Answer:

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 6

Step-by-step explanation:

The terms have a common difference d between consecutive terms, that is

10 - 4 = 16 - 10 = 22 - 16 = 6

To obtain the next term add 6 to the previous term ( recursive rule ), thus

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 6 with a₁ = 4


Related Questions

It is estimated that the distance traveled by each volunteer driver at the Huntington VA Medical Center is normally distributed with a mean of 50 thousand miles and a standard deviation of 12 thousand miles each year. What percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year?

Answers

Answer: 25.08%

Step-by-step explanation:

Given: Distance traveled by each volunteer driver is normally distributed.

Mean ([tex]\mu[/tex]) = 50 thousand miles

standard deviation ([tex]\sigma[/tex])=  12 thousand miles

Let X = distance traveled by each volunteer driver

Required probability : [tex]P(X<30)+P(X>60)[/tex]

[tex]=P(\dfrac{X-\mu}{\sigma}<\dfrac{30-50}{12})+P(\dfrac{X-\mu}{\sigma}>\dfrac{60-50}{12})\\\\=P(z<-1.67)+P(z>0.83)\ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\= (1-P(z<1.67))+(1-P(z<0.83)\ \ \ [P(Z<-z)=1-P(Z<z)=P(Z>z)]\\\\= 2- P(z<1.67)-P(z<0.83)\\\\= 2- 0.9525-0.7967=0.2508\ \ [\text{By p-value table}][/tex]

Hence, percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year = 25.08%

I don't understand this​

Answers

Answer: m<DEA = 95° also

Step-by-step explanation: I took geometry last year and I don’t remember the exact name of the explanation but both of the angles are equal

In a relay race, each runner completes the circuit 9 seconds faster than the previous one. If the first athlete runs his lap in 4 minutes 37 seconds, how many minutes does it take in total for the team of 8 competitors to finish the race? Give your answer correct to the nearest minute. [Answer format: integer, no units]

Answers

Answer:

31 minutes

Step-by-step explanation:

Here, we have 8 competitors with the previous runner outrunning the present by 9 seconds

1st runner time = 4 minutes 37 seconds

2nd runner time = 4 minutes 37 seconds - 9 seconds = 4 minutes 28 seconds

3rd runner time = 4 minutes 28 seconds - 9 seconds = 4 minutes 19 seconds

4th runner time = 4 minutes 19 seconds - 9 seconds = 4 minutes 10 seconds

5th runner time = 4 minutes 10 seconds - 9 seconds = 4 minutes 1 second

6th runner time s= 4 minutes 1 second - 9 seconds = 3 minutes 52 seconds

7th runner time = 3 minutes 52 seconds - 9 seconds = 3 minutes 43 seconds

8th runner time = 3 minutes 43 seconds - 9 seconds = 3 minutes 34 seconds

The total time is the addition of all the times

For clarity sake, we shall be adding all the minutes together and all the seconds together;

That will be ;

(4 * 6) + 3 minutes + ( 34 + 43 + 52 + 1 + 10 + 19 + 28 + 37)

= 27 minutes + 224 seconds

We need to convert 224 seconds to minutes

Since 60 seconds make one minute; we have

224 - 60(3) = 3 minutes and 44 seconds

Let’s add this to the minutes we had before

That would be;

27 minutes + 3 minutes + 44 seconds

= 30 minutes 44 seconds

since 44 seconds is greater than 1/2 minute (30 seconds), we can approximate it to 1 minute

So the total time is 30 minutes + 1 minute = 31 minutes

Find three consecutive integers such that when three times the third is increased by the first, the result is 8 less than five times the second.

Answers

Answer:

           9, 10 and 11

Step-by-step explanation:

x - the smallest of three consecutive integers (the first)

x+1 - the next of three consecutive integers (the second)

x+2 - the last of three consecutive integers (the third)

3(x+2) - three times the third integer

3(x+2)+x - three times the third increased by the first

5(x+1)   - five times the second tnteger

5(x+1)-8  - 8 less than five times the second

3(x + 2) + x = 5(x + 1) - 8

3x + 6 + x = 5x + 5 - 8

   4x + 6 = 5x - 3

       -4x        -4x

        6 = x - 3

         x = 9

x+1 = 10

x+2 = 11

Check:  3×11+9 = 33+9 = 42,   5×10-8=50-8 = 42

HELP PLEASE I NEED ANSWER QUICK!!!
Explain why a function is always a relation but a relation is not always a function.​

Answers

Answer:

Function is always a relation because otherwise an equation could not be written about its spread behavior.

Function cannot have two ys to an x.  So, a relation is not always a function.

Step-by-step explanation:

Answer:

Function is always a relation because otherwise an equation could not be written about its spread behavior.

Function cannot have two ys to an x.  So, a relation is not always a function.

NEED HELP ASAP
What is the equation for a line that passes through the points (-4,-1) and (8,17)?

Answers

Answer:

y = 1.5x + 5

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

ANSWER QUICKLYYY PLEASEEE
What is the surface area of the rectangular prism below?

A 79 in.2
B120 in.2
C158 in.2

Answers

Answer:

The answer is B)120

Step-by-step explanation:

Multiply 5 and 8= 40 then, multiply 3 from 40.

Punch that into a calculator and it will give you 120

-14+6b+7-2b=1+5b
someone help me with this please

Answers

Answer:

b= -8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. my answer is -8 but just multiply 5 by -8. and solve

-14+6b+7-2b=1+5b

-7+4b=1+5b

-1 -1

-8+4b=5b

-4b -4b

-8=b

dialation of a triangle use picture for question ​

Answers

Answer:

see explanation

Step-by-step explanation:

Assuming the dilatation is centred at the origin.

Then multiply the coordinates of each point by the scale factor, that is

(- 2, 3 ) → (- 2(2), 3(2) ) → (- 4, 6 )

(3, 4 ) → (3(2), 4(2)) → (6, 8 )

(4, - 1 ) → (4(2), - 1(2)) → (8, - 2 )

Which of the following equations produces a linear function?
A y=x?
B = 2x + 3
C y = |x|
D y=2x2 + 3x - 2

Answers

Answer:

a, b, and c

Step-by-step explanation:

all of them are in the form y=mx+b except for c, which does not have a constant slope throughout the entire line, it will be decreasing or negative until 0, and then increasing or positive after 0, so the slopes would not be the same.

A Pattern has 5 blue triangles to every 80
yellow triangles, what is the ratio of blue
triangles to all triangles?​

Answers

Answer:

5:80, there are only 2 numbers

Step-by-step explanation:

The ratio of blue triangles to all triangles is 1 : 17.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

A Pattern has 5 blue triangles to every 80 yellow triangles.

Here, Number of blue triangles = 5

Number of all triangles = 5 + 80

                                    = 85

Thus, The ratio of blue triangles to all triangles is,

⇒ Number of blue triangles : Number of all triangles

⇒ 5 : 85

⇒ 1 : 17

Learn more about the ratio visit:

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Tamara spun the arrow on a spinner 50 times. The number of times the arrow landed on each colored section of the spinner is shown in the table.
Section
Number of Times
Arrow Landed On
Red
23
Blue
Orange
Yellow
8
10
9
Based on the results in the table, what fraction of the area of the spinner is most likely represented by the Red section?

Answers

Answer:

1/2 .

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:

What is the answer of 10-squareroot of 4 divided by 2

Answers

Answer:

10

Step-by-step explanation:

sqrt(4)=2

2/2=1

10×1=10

the price of the stock decreases 45 per day for four consecutive days.what was the total change in value of the stock over 4 days of period

Answers

Answer:

stream walls by louis tomlinson on itunes

Step-by-step explanation:

Help will be appreciated?

Answers

The answer is yes, you plug in 0 for x and y in the equation and then solve like normal, if the equation is correct then it is a solution

What is the value of r for 16-18

Answers

Answer:

98275

Step-by-step explanation:

5=6

What three ratios are equivalent to 5 to 2

Answers

Answer:

10:4, 15:6, 20:8

hope that helps.

Graph on the number line x >-3
^
| there’s a line under the <

graph on the number line
x < -1

there’s a line under the <

Answers

Bro I’m struggling too cuz omg pls help

Answer:

x>-3 means that x is anywhere from -2 to any positive number... I don't know if this helps at all but it's what I got from the question ask! <3

Step-by-step explanation:

Write the converse of the following statement.

If two lines have equal slopes, then the lines are parallel.

Answers

Answer:

If two lines are parallel, then they have equal slopes.

Step-by-step explanation:

Conditional:

If two lines have equal slopes, then the lines are parallel.

Converse: switch the hypothesis and the conclusion.

Converse:

If two lines are parallel, then they have equal slopes.

Above is a table with missing terms. Come up with a possible common difference that makes sense and list the missing terms.

Answers

Answer:

common ratio:2 2. 18  3.36  4.72 equation: 4.5([tex]2^x[/tex])

Step-by-step explanation:

144=2*2*2*2*3*3    9=3*3

the common ratio would be 2

2. 9*2=18

3. 18*2=36

4. 36*2=72

(check) 72*2=144

0. 9/2=4.5

equation: 4.5([tex]2^x[/tex])

What is 5.2 as a mixed number in simplest form?
1. 5 and 1/2
2. 52/100
3.5 and 20/10
4.5 and 1/5

Answers

It’s 5 and 1/5 because 5.2 equals 5 and 2/10, then simplify the 2/10 to 1/5. The answer is 5 and 1/5

(-8,-11) and (17,4)

Answers

Can you explain the question

look at each expression. is it equivalent to "the quotient of 10 plus x and y minus 3"?​

Answers

Answer:

B

Step-by-step explanation:

B

The numerator is 10 + x.

The denominator is y - 3.

What does it take to become a boxer?

Answers

Answer:

Train your very hardest. You can't just give up on day on. Believe in yourself.

Step-by-step explanation:

If a number a is chosen at random from the set
of positive integers less than 20, then what is the
probability that 12/a > a?

A. 12/19
B. 3/5
C. 7/19
D. 3/19

Answers

Answer:

D. 3/19

Step-by-step explanation:

12/1 = 12

12/2 = 6

12/3 = 4

These are the only ones that make the equation true.

There are also only 19 numbers because they need to be less than 20 like the question indicated. Therefore, the answer is D.

3 708 000 000 in scientific notation

Answers

3,708,000,000 in  scientific notation is [tex]3.708[/tex] × [tex]10^9[/tex]

Can anybody help pls

Answers

Answer:

4?

Step-by-step explanation:

There's only 5 teams. (I'm not sure tho)

I need help with this​

Answers

Answer:

x=15

Step-by-step explanation:

4 I x-5 I +20 = 60 Distribute the 4

4x - 20 + 20 = 60   Combine like terms :

4x - 0 = 60

4x = 60 Divide:

 x = 15

Check :  4 I 15 - 5 I + 20 = 60

                  4 I10I +20 = 60

                    40 + 20 = 60

                         60 = 60 ✔

Hope this helps :)

Answer:

x = 15

Step-by-step explanation:

so simplify the first half of the equation

4x-20+20 = 60

combine like terms

4x = 60

divide both sides by 4

x = 15

I hope this helped ;D

todo esta en la foto Everything is in the picture

Answers

vendieron un total de 7 camas elásticas porque 689.50 / 98.50 son 7. (they sold a total of 7 trampolines because 689.50/98.50 is 7)

Rectangle QUAD has coordinates​ Q(0,0), ​U(0,​3), ​A(7​,​3), and ​D(​7,0). ​Q'U'A'D' is the image of QUAD after a dilation with center​ (0,0) and scale factor 6. What are the coordinates of point U ​'?

Answers

Answer:

22

Step-by-step explanation:

After dilation with center (0,0) and scale factor 6 new coordinates of point U are ( 0, 18).

What is dilation?

" Dilation is defined as to resize the given geometrical shape with given scale factor."

Formula used

Scale factor

=  (Dimensions of new shape) ÷ (Dimensions of original shape)

According to the question,

Given rectangle QUAD,

Coordinates of Q(0,0)

Coordinates of  U(0,3)

Coordinates of  A(7,3)

Coordinates of D(7,0)

Q'U'A'D' is the image of QUAD after a dilation with center​ (0,0) and scale factor 6.

New Coordinates of Q'(0,0)

New Coordinates of  U'(0,18)

New Coordinates of  A'(42,18)

New Coordinates of D'(42,0)

Hence, after dilation with center (0,0) and scale factor 6 new coordinates of point U are ( 0, 18).

Learn more about dilation here

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