Mathematics High School

Write a recursive formula for the sequence below. Use the variable "n" for your formula in your answer.
{2, -8, 32, -128, 512, ... }

Answers

Answer 1

Answer:

[tex]\begin{cases}a_1 = 2\\\\a_{n} = -4*a_{n-1}\end{cases}[/tex]

============================================

Explanation:

The first line of the answer says "the first term is 2".

The second line says "take any term and multiply by -4 to get the next term".

The [tex]a_n[/tex] represents the nth term while [tex]a_{n-1}[/tex] is the term just before it.

The second line shown above is the same as writing [tex]a_{n+1} = -4*a_n[/tex]

---------------

The -4 is found by dividing any term over its previous one

-8/2 = -4

32/(-8) = -4

-128/32 = -4

512/(-128) = -4

This shows the common ratio is -4 and this sequence is geometric.

Related Questions

what is the value of x​

Answers

Answer:

The value of x is 25.

Step-by-step explanation:

Answer:

112+3x^2-7 = 180

105+3x^2 = 180

3x^2 = 180-105

3x^2 = 75

x^2 = 25

x = [tex]\sqrt{25}[/tex]

x = 5

PLSSS HELP ME I WILL MARK YOU!!

Answers

Answer:

-4

Step-by-step explanation:

g=-2

for a negative number times a positive number makes a negative number.

2 to the second power is 4

so -g to the second power is -4

g = -2

-g^2

-2^2= 4

Sorry I’m not sure if it’s 4 or -4 or if it’s wrong in general but I hope this helps

A recipe calls for 40 ounces of rice. How many grams of rice does the recipe require?

Answers

Answer:

1133.98

Step-by-step explanation:

Answer:

1134

Step-by-step explanation:

There are 28.3495 grams per oz

28.3495 x 40 = 1133.98

URGENT PLEASE HELP ASAP

Answers

Answer: 90?

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

mean = sum of all / number of quizzes

x = the remaining student's score

(2(30) + 1(30) + 3(80) + x)/8 = 50

[multiply each side by 8]

2(30) + 1(30) + 3(80) + x = 400

[simplify]

60 + 30 + 240 + x = 400

330 + x = 400

[subtract 330 from each side]

x = 70

what are the intersections between the lines y=x squared and 6x + 3y= 24?

Answers

Answer:

The intersection points between the functions are (-4,16) and (2,4)

Step-by-step explanation:

Intersection Between Functions

We are given the functions:

[tex]y=x^2[/tex]

[tex]6x+3y=24[/tex]

To find the intersections between them, we have to solve the system of equations. Let's start by simplifying the second equation by 3:

[tex]2x+y=8[/tex]

Now we substitute [tex]y=x^2[/tex] into this equation:

[tex]2x+x^2=8[/tex]

Solve the quadratic equation by any of the available methods.

Subtract 8:

[tex]2x+x^2-8=0[/tex]

Sort the polynomial:

[tex]x^2+2x-8=0[/tex]

Factor:

[tex](x+4)(x-2)=0[/tex]

Solve:

[tex]x=-4, x=2[/tex]

Now find the y-coordinate of each solution:

[tex]y=x^2=(-4)^2=16[/tex]

The point is (-4,16)

For x=2:

[tex]y=x^2=2^2=4[/tex]

The point is (2,4)

The intersection points between the functions are (-4,16) and (2,4)

The function f has the property that as x gets closer and closer to 4, the values of f(x) get closer and closer to 7. Which of the following statements must be true?

Answers

Answer:

C

Step-by-step explanation:

x going to 4 is given by limx->4 and closer to 7 is given by =7

The correct statement is [tex]\lim_{x \to 4} f(x)[/tex] = 7.

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given statement:

x gets closer and closer to 4, the values of f(x) get closer and closer to 7.

So, x gets closer and closer to 4 shows

x-> 4

and,  f(x) get closer and closer to 7 shows

f(x)=7

Combining both we can write using the limit function x gets closer and closer to 4 require limit

[tex]\lim_{x \to 4} f(x)[/tex] = 7.

Learn more about function here:

https://brainly.com/question/12431044

#SPJ2

Please answer correctly !!!!!!!! Will mark brainliest answer !!!!!!!!!!!!

Answers

Answer:

it was X =5

Step-by-step explanation:

Use mental math to find the quotient.

2,386.7 ÷ 100

Answers

Answer:

23.86700

Step-by-step explanation:

Name the quadrant where the ordered pair is located (6, 2)

Answers

Answer:

Quadrant 1!

Step-by-step explanation:

The first quadrant has positive values for both of the coordinates.

You stand 40 feet from a tree. The angle of elevation from your eyes (5 feet above the ground) to the top of the tree is 47 degrees. How tall is the tree?

Answers

Answer:

.

Step-by-step explanation:

1. x+y=-3 ? What is the answer

Answers

Answer:

x=-6 + y= 3

Step-by-step explanation:

Answer:

x-intercept(s):  ( − 3 , 0 )

y-intercept(s):  ( 0 , − 3 )

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y

- 6 + 6(2- 12) divided by (-15) please and thank you

Answers

Answer:

4.4

Step-by-step explanation:

-6 +12-72

6-72

-66÷(-15)

4.4

I=?. P=$475.00,r=4%,t = 3 years Find the missing value

Answers

Answer:

I=$57.00

I=Prt

I=(475)(.04)(3)

I= $57.00

A family is planning a camping trip at a state park. The state park has 9 campgrounds, each with 6 campsites. The family wants to go on a hike, and the park has 4 hiking trails. The children also want to go for a swim at one of the 4 beaches. How many different ways can the family plan a camping trip?

Answers

Answer:

62

Step-by-step explanation:

Camping trip different ways = No of campgrounds x campsites each campground

9 x 6 = 54

Hiking trip different ways = 4  (hiking trails)

Swimming different options =  4 (beaches)

Total ways of planning trip = 54 + 4 + 4 = 62

1. Jason earns $6 per week for doing all his chores. On the fifth week, he forgets to take out the trash, so he
only earns $4. Write and solve an equation to show how much Jason earns in 5 weeks.
$6
$4
Jason

Answers

Answer: 28$ he gets in 5 weeks

Step-by-step explanation: 6x4=24 24+4=28 Answer 28 Hope this helped plz mark me brainliest. Have a nice day!

A prescription bottle contains 150 pills. For how many weeks will the bottle last, if the recommended daily dosage is two pills?

Answers

Answer:

75

Step-by-step explanation:

150/2=75

Answer:

About 10.5 weeks

Step-by-step explanation:

As each day two pills need to be consumed, 14 pills need to be consumed per week. 150 divided by 14 is roughly 10.5, but slightly more. Hope it helps!

[tex]3x18=3(10+8) is a example of what property

Answers

I think that would be associative property

Alfred buys a car for £15225 which depreciates in value at a rate of 0.25% per year.

Work out how much Alfred's car will be worth in 4 years.

Answers

Answer:

14,590

Step-by-step explanation:

Leann makes an average of 36 cookies per week. About how many cookies will she make in a year

Answers

Answer:

The answer is 1872 cookies.

Step-by-step explanation:

First we know that in one year there are 52.18 weeks or 52 weeks. You take that number of weeks and multiply it by 36.

If you multiply 36 by 52 you get 1872 cookies.

Or, if you multiply 52.18 by 36 you get 1878.48

0 is a COMPOSITE number.

Group of answer choices

True

False

​

Answers

Answer:

falseeeeeeeeeeeeeeeeeeee

Answer:

false ma g brainliest please?

Step-by-step explanation:

Savvas Realize
Tonya’s dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge a monthly fee for her dog-walking service, but she charges $5 per mile that each dog is walked.


Part A

Choose the equation that can be used to find the number of miles m for which Tonya and Beth would charge the same amount.

A. 20 + 3m = 5m

B. 20 = 3m + 5m

C. 20 + 5m = 3m

D. 20 + m = 8m

Part B

m = _____ miles

Answers

Answer:

A 10 miles

Step-by-step explanation:

If I'm not mistaking I'm pretty sure we can write the two problems with an equal sign between as we're trying to find the same amount.

Using this information, we know that we Automatically have a +20 charge with a 3 dollar charge for every mile walked. Now we have 20+3x=

Now we plug in the 5x to get 20+3x=5x

From here you subtract 3x and you get 20=2x. Now divide!

10=x

Hope this helps! (Side Note: You should probably get some sleep as I'm sure it's pretty late where ever you live. Also, keep trying even if you feel like giving up!) :)

How do I write this equation? Pls help ASP

Answers

This is a question about angles and equations! Let's see how to solve this.

The angle [tex]\angle PQR[/tex] is the sum of the angles [tex]\angle MQR[/tex] and [tex]\angle PQM[/tex]. So, we can do a equation with this information and solve it:

[tex]\angle PQR = \angle MQR + \angle PQM\\\\138x -1 = 115 + 23x -1\\138x - 23x = 115 + 1 - 1\\115x = 115\\x=\frac{115}{115} \\x= 1[/tex]

Therefore, the value of x is 1.

RS = 12, ST = 2x, RT = 34

Answers

Answer:

x=11

Step-by-step explanation:

34(RT) minus 12(RS)=22. 22 divided by 2 equals 11.

help?? IJODFZUSDJIOKPXFIGLDROEPKFIJNHCLDFISEKPORQJLNH.KL

Answers

Answer:

>

Step-by-step explanation:

.386 is greater than .368

Answer:

greater than because 45.386 is greater 45.368

Step-by-step explanation:

look at each place value

Evaluate the following f(x)=2x+4 if x=8​

Answers

Answer:

Step-by-step explanation:

2(8)+4=(8)f equals 16+4=(8)f, which equals 20=8f

Answer:

20

Step-by-step explanation:

solve the inequality please I finally need help with this?7x-3<3+6x what i the answer to it mane someone please help me now please

Answers

Answer:

x<6

Step-by-step explanation:

7x-3<3+6x

add the 3 to both sides

7x<6+6x

subtract the 6x from both sides

x<6

What does 1,000,000,000divided by 18 • 20 - 108 equal?

Answers

Answer:

3,968,253.968253968

Step-by-step explanation:

If Cody makes 10$ an hour at his after school job, how many hours will it take him to earn 150?

Answers

Answer:

15 hours

Step-by-step explanation:

150 divided by 10 equals 15

Answer:

It will take him 15 hours

Step-by-step explanation:

Because if you divide 150 by 10 you get fifteen.

So its basically like divide 150 by the 10$ and then it will take 15 hours.

Betty earns $15 per hour at her job. Her
husband earns a weekly salary of $90, but he
only earns $12 per hour. How many hours
must Betty work to make the same as her
husband?

Answers

Well, her husband has to work 7 and a half hours in order to receive that $90 a week. Therefore, Betty would have to work 6 hours in order to make the same amount of money as her husband.

50 points if you answer this




A diver dives 17 and two-thirds yards and then comes back to the surface. Then, she dives 9 and StartFraction 3 over 8 EndFraction yards deeper than her first dive. What is her depth, in yards, in relation to the surface of the water?

Answers

Answer:

answer is -27 1/24.

Step-by-step explanation:

Don't need points here to help.

Answer:

answer is -27 1/24.

Step-by-step explanation:

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