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

10x-5y=20 solve for x

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

20/10

What is 3 3/5 divided by 2 1/4? :)

Answers

Answer:

1.6 or 8/5

Step-by-step explanation:

How many times bigger is Triangle H than Triangle B ?? Pls help me ty​

Answers

Answer:

4/3

Step-by-step explanation:

Divide one side of Triangle H by 1 side of triangle B to get the scale factor

Round to 4,725.806
Answer the question

Answers

Answer:

Step-by-step explanation:

Your question is incomplete.  Are you rounding to the nearest 100?  nearest 100,000?

4725806 to the nearest thousand is 4725800.

4725806 to the nearest unit is 4725806.

                 to the nerest ten is 4725810.

please answer HURRY PLEASE (have to have it done before 12:00

Answers

Answer:

Hello, It isn't clear.

It looks blur to me

Answer:

7. C

8. A

To find slope, we need two points. Once we have them, we can put them into the formula:

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]      ← this is rise/run

For 7, it's just a matter of comparing any two consecutive points.

For 8, you are given the two points.

a rectangle is 3x feet long and 4feet wide.the value of the perimeter (in feet) is equal to the value of the area in square feet. find x

Answers

Answer:

x = [tex]\frac{4}{3}[/tex]  

Step-by-step explanation:

Rectangle:

Length = 3x feet

Width = 4 feet

Perimeter = 2*(length +width)

                = 2* (3x + 4)

                = 2*3x + 2*4

                 = 6x + 8

Area = length * width

        = 3x * 4

        = 12x

Area of rectangle =  perimeter of rectangle

                       12x = 6x + 8              {Subtract 6x form both sides}

               12x - 6x  = 8

                       6x = 8                    {Divide both sides by 6}

                         x = 8/6

                         x = [tex]\frac{4}{3}[/tex] feet

Answer:

3 feet x 4 feet= 12 feet

Step-by-step explanation:

Here is a five-sided polygon. Show how you could use area-reasoning strategies—decomposing, rearranging, enclosing with a shape, etc.—to find the area of the polygon. (You only need to describe or show how the area could be found; it is not necessary to actually calculate the area.)

Answers

Answer:

i can explain it to you if u want

Step-by-step explanation:

Divide the polygon into 5 triangles by using each side as a base and joining the vertices of the polygon to a common point (for example, the centre). If the polygon is regular the angle at the vertex of each triangle is 360/5=72 degrees, so you have 5 isosceles triangles of equal area. Find the area of one and multiply by 5 to get the total area.multiply 5 times the lenght of oneside

When a number is doubled and then increased by 20, the result is 5 less than 3 times the number. What is the number?

Answers

Answer:

2x+20=3x-5 (x=25)

Step-by-step explanation:

2x+20=3x-5

-2x+5

25=x

hope this helps ( a brainliest would be nice too)

The number is equal to 25.

Let the number be n.

To write the word problem as an algebraic equation:

In this exercise, we are required to translate the word problem into a mathematical (algebraic) expression and solve for the unknown variable (number):

Translating the word problem into an algebraic expression, we have;

A number is doubled and then increased by 20:

[tex]2n + 20[/tex]   ...equation 1.

The result is 5 less than 3 times the number:

[tex]3n -5[/tex]  ...equation 2

Equating the two equations, we have:

[tex]2n+20=3n-5\\\\3n-2n=20+5\\\\n=25[/tex]

Read more: https://brainly.com/question/22970937

Plot the solution set of |-x|=3.5

Answers

3.5 because anything inside those lines is positive

Answer:

3.5

Step-by-step explanation:

120 ≤ 12 k + 29 need help

Answers

The answer is [tex]k[/tex] ≥ [tex]\frac{91}{12}[/tex]

First, you must flip the equation

[tex]12k+29[/tex] ≥ [tex]120[/tex]

Then, you must subtract 29 on both sides

[tex]12k[/tex] ≥ [tex]91[/tex]

Finally, divide both sides by 12

[tex]k[/tex] ≥ [tex]\frac{91}{12}[/tex]

f(x)=x^2+8x+15/2x^2+11x+5
state the equations for the vertical and horizontal asymptotes of the graph y=f(x)

Answers

Answer:

Step-by-step explanation:

Solve the system.

y=−6x−1
3x+4y=17

Answers

Answer:

(-1, 5)

Step-by-step explanation:

Are 7x-4y=4 and x-4y=3 Parallel perpendicular or neither​

Answers

Answer:

neither

Step-by-step explanation:


What is the slope of the line that passes through the points (3,-2) and (1,8)

Answers

Answer:

10/-2= -5

Step-by-step explanation:

slope= change of y/ change of x

For the given expression identify the terms like terms coefficient and constant terms then simplify the expression -8c+-c+1

Answers

Answer:

The simplified expression is : -9c +1

Step-by-step explanation:

The like terms are -8c and -c

The constant term is 1

The simplified expression is :

-8c + -c + 1 = -9c +1

Speed of Cart Over Time
35
30
25
20
Speed (miles per hour)
15
10
5
1 2 3 4 5 6 7 8
Time (minutes)
At approximately what time did the speed of the cart begin to decrease?

Answers

Step-by-step explanation:

OMG!!??!!?? SCIENTISTS TRANSFORM 6IX9INE INTO A RAT?!??????!!?! LOOK AT HIM!!!!!!!!

-4x + 40 > -4
Solve quick le,ase

Answers

Answer:

x>-39

Step-by-step explanation:

-4x/-4=x

-4/-4=1

1-40=-39

Answer: x is greater than 9 x>9

Step-by-step explanation:

You see -4 times 9 equals to -36. And -36+plus 40 equals to -4. The question is asking you to make sure the left side is greater. So, it has to be greater than 9. for example -4 times 8 equals to -32. And -32+40 equals to 8. So your answer is X>9. I hope that helped you.

What is the solution to 2x-8<12?
X8
X<10
X40

Answers

Answer:

x<10

Step-by-step explanation:

Isolate X:

2x-8+8<12+8 = 2x<20

Then divide by 2:

2x/2<20/2 = x<10

x<10

5x + 4 = x + 12

solve!

Answers

Answer:

2

Step-by-step explanation:

Step 1:

5x + 4 = x + 12         Equation

Step 2:

4x + 4 = 12     Subtract x on both sides

Step 3:

4x = 8      Subtract 4 on both sides

Step 4:

x = 8 ÷ 4      Equation

Answer:

x = 2

Hope This Helps :)

Answer:

x=4

Step-by-step explanation

5x+4 = x+12

4x+4=12

4x=16

x=4

John has a soup recipe that calls for two 14.5-ounce cans of chicken broth. The recipe serves 4 people. He wants to increase the recipe to serve it to a party of 28 people. If John buys chicken broth in 1-quart containers, how many containers does he need?

Answers

Answer:

  6 11/32

Step-by-step explanation:

The two cans of broth used in the recipe total 2·14.5 oz = 29 oz. The number of people John wants to serve is 28/4 = 7 times the number served by one recipe. So, the amount of broth needed is ...

  (29 oz)·7 = 203 oz

Each quart container of broth holds 32 oz, so John will need ...

  (203 oz)/(32 oz/container) = 6 11/32 containers

John needs 6 11/32 containers of broth.

_____

If John must buy the broth, he must buy 7 containers. he will have 21/32 of a container left over after making his soup.

If f=(9/5 x c ) +32 85c =__f

Answers

Answer:

185

Step-by-step explanation:

Answer:

It entirely depends upon an individual.

It’s a known fact that humans need social interaction. Lack of which can affect their social behaviour and mindset. Whilst most would agree that e-learning is widely preferred by the younger generation, it is undeniably detaching them from social interactions.

When kids or students are engrossed in learning online, they’re missing out on social interactions that can open various doors of the mind, be it creative or observational skills. It’s understood that e-learning allows an individual to study far and beyond the subject and gives them an opportunity to explore multiple fields of their interest, one can’t ignore that it chains them to the system as well.

The deal-breaker in such a situation is an individual. If they demand social interaction, they would keep their digital device aside for once and would get indulge in social interaction. If they’re of another kind, they would prefer spending their days and nights just exploring and reading about new things online.

So, in my opinion, it’s quite subjective to narrow down the overall benefits and drawbacks of e-learning.

I hope I have answered your question.

Help ASAP Use the parabola tool to graph the quadratic function f(x)=x2−12x+27.

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:

2 x-intercepts at 3 and 9

Step-by-step explanation:

x^2-12x+27=0

(factoring)

(x-3)(x-9)=0

this tells us that there is going to be a x-intercept at both 3, and 9, and that there is no stretching of it. It would look like this.

.. What type of number is the following?
24i+16
A. Real
B.purely
C.complex
D. Not enough information

Answers

Answer:

Step-by-step explanation:

The i is usually the square root of -1 which does not exist in the real number system.

The number given is a mixture of real and complex and is classified as complex.

The answer is C

Answer:

the answer is: C,Complex

Step-by-step explanation:

Complex Numbers

A Complex Numbers is a combination of a real number and an imaginary number in the form a + bi. The real part is a, and b is called the imaginary part.

Examples include 4 + 6i, 2 + (-5)i, (often written as 2 - 5i), 3.2 + 0i, and 0 + 2i.

Note the last two examples:

3.2 + 0i is just the real number 3.2. All real numbers are complex numbers with zero for the imaginary part.

0 + 2i is just the imaginary number 2i. All imaginary numbers are complex numbers with zero for the real part.

I hope it helps you lot!!!

Work out 20 percent of 800

Answers

Answer:

160

Step-by-step explanation:

Hi there !

100% ............... 800

20% .......................x

x = 20×800/100 = 16000/100 = 160

Good luck !

convert 96 ounces into pounds and explain how you determined the answer​

Answers

Answer:

6pounds

Step-by-step explanation:

1 pound = 16 ounces

divide the 96 and 16 to get 6 pounds

PLSS HEEELLLPPP JESHJDUSUSJSJ

Answers

The answer would be c, multiply them all by 12

What is the measure of angle 2?

Answers

142 degrees

Vertical angles are congruent

Answer:

142

Step-by-step explanation:

they are the same length

solve for b
thank you :)

Answers

the answer is b=8!! hope this help

Answer:

[tex]b = 8[/tex]

Step-by-step explanation:

First, cross multiply across the equal sign. Note that what you do to one side, you do to the other:

[tex](b+10)(2b-7)(\frac{8}{b+10}) = (\frac{4}{2b -7})(b+10)(2b-7)\\ \\(2b -7)(8) = (4)(b+10)[/tex]

Next, distribute 8 and 4 to their corresponding parenthesis:

[tex]8(2b -7) = 16b - 56\\4(b + 10) = 4b + 40[/tex]

[tex]16b - 56 = 4b + 40[/tex]

Next, isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 56 and subtract 4b from both sides:

[tex]16b (-4b) - 56 (+56) = 4b (-4b) + 40 (+56)\\16b - 4b = 40 + 56\\12b = 96[/tex]

Isolate the variable, b. Divide 12 from both sides:

[tex]12b = 96\\\frac{12b}{12} = \frac{96}{12} \\b = \frac{96}{12} \\b = 8[/tex]

[tex]b = 8[/tex] is your answer.

~

I really Need Help..

Answers

Answer:

Y= -1.2x

Step-by-step explanation:

Madison is starting her own sewing business. Madison thinks she will do a better job than her competitors, so she thinks she can charge $13.05 per hour. If she knows she will only be able to work 190 hours per month (that's 47.5 hours per week), how much money will she earn each month?

Answers

Answer:

$2479.5

Step-by-step explanation:

In this problem we will estimate her monthly earnings

given that she earns $13.05 per hour

and also given that she works for 190 hours in a month

then in a month, her earnings will be

=$13.05*190

=$2479.5

alternatively,

per week she works 47.5hours

in a week she will earn 13.05*47.7= $622.485

4 weeks make a month

then after one month her earning will be

$622.485*4= $2479.5

Other Questions
The first step in conducting a background investigation is to_________A) Provide certification to the reporting agencyB) Obtain permission from the employeeC) Provide copies of the background reports to the employeeD) Give notice to the employee if a problem is found during the investigation Prepare the journal entries to record the following transactions on Sheridan Companys books using a perpetual inventory system. (If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts. Credit account titles are automatically indented when amount is entered. Do not indent manually. Record journal entries in the order presented in the problem.) (a) On March 2, Crane Company sold $890,100 of merchandise to Sheridan Company, terms 2/10, n/30. The cost of the merchandise sold was $528,500. (b) On March 6, Sheridan Company returned $100,500 of the merchandise purchased on March 2. The cost of the merchandise returned was $68,700. (c) On March 12, Crane Company received the balance due from Sheridan Company. No Date Accounts titles and explanation Debit Credit a) March 2 a) March 2 b) March 6 b) March 6 c) March 12 c) March 12 *Please also provide info on how the calculations were found. Step 1: Identify which nucleic acid the following strand is. 5' TAC - ACT -GCG - CGA - TAG - CTA - ATT 3' The above strand is an example of: * The Olympic Games had its origins in the ancient OlympicGames, which were held in Greece. However, the modernOlympic movement moves around the world every twoyears for either a winter or summer set of games.What purpose does this author have?A. To explain somethingB. To express thoughtsC. To entertainD. To persuade What is cheese made of is it like a piece of moon ?! Coach Dasher wants his son to go to Georgia Tech. The estimated cost to attend for four years is $112,384. What would be the unit rate or cost per year? 2. How did Alexander gain control of all of Greece? Which of the following sentences is structured correctly? "Do you think . . ." Jasmine asked, "I should cut my hair to my chin or only trim it?" "Do you think" Jasmine asked, "I should cut my hair to my chin or only trim it?" Jasmine asked, "Do you think I should cut my hair to my chin, or only trim it?" Jasmine asked, "do you think I should cut my hair to my chin or only trim it?" A carver begins work on the following block of granite that has a mass of 2700 g. What is the density of the granite? 10 cm 5 cm 20 cm What is the volume of the granite? cm3 What is the density of the granite? The piece of granite would g/cm3 (float, sink) in water because Please help I cant do this please...HELP Make a list of the six parts of a business letter in the order in which they appear.1. The 2. The 3. The 4. The 5. The 6. The What was the goal of the Boston Port Bill of the 1770s?A. to help Massachusetts create more tradeB. to lower taxes on Boston HarborC. to punish Massachusetts by closing Boston HarborD. to reward Massachusetts by rebuilding Boston Harbor In a electrically natural atom of any element there are equal numbers of eve,hope,misa,and cole put their name into a basket. if name is selected without looking what is probability that the name will be cole whats 8 and 2\5 as an improper fraction Ilianas math grade increased from 65 to 86. Fionas math grade increased from 70 to 80. What is the difference, rounded to the nearest whole number, between the approximate percent increases?10 percent15 percent18 percent21 percent which surface events are examples of weathering How do you create balance in a floral arrangement using color? Would someone help me to understand this math. Thank you LINES & LINE SEGMENTS ASSIGNMENTPlot the following points on the number line below:A: -25 B: -17 C: -13D: -1 E: 4 F: 11G: 16 H: 23 I: 25Using the points and number line from the problem above, find each of the following. The first one is done for you.a) BD = | -17 (-1) | = | -17 + 1 | = | -16 | = 16b) AEc) EFd) GIe) CHf) BGg) CFh) AC What is the first step in the 5 step process of building a paragraph