If a_1=2a 1 ​ =2 and a_n=(a_{n-1})^2-2a n ​ =(a n−1 ​ ) 2 −2 then find the value of a_4a 4 ​ .

Answers

Answer 1

9514 1404 393

Answer:

  2

Step-by-step explanation:

We assume your recursive formula is ...

  [tex]a_1=2\\a_n=a_{n-1}^2-2[/tex]

Using this to find a4, we get ...

  [tex]a_2=a_1^2-2=2^2-2=2\\a_3=a_2^2-2=2^2-2=2\\a_4=a_3^2-2=2^2-2=2\\\\\boxed{a_4=2}[/tex]


Related Questions

-7x=x² + 12
A)
x = 3, x = 5
B)
x = 3.x = 4.17
X = -3, x = 5
D)
x = -4X=-3

Answers

Answer:

D. x = −3, −4

Step-by-step explanation:

1) Move all terms to one side.

7x+ + 12=0

2) Factor 7x + [tex]x^{2}[/tex] + 12.

(x + 3)(x + 4) = 0

3) Solve for x.

x = −3, −4

Find the values of x and y.

Answers

the x is 49 and the y is 8!

Sixty is what percent of 30​

Answers

60 percent of 30 is 200

Answer:

sixty percent of 30 is 200

convert into slope intercept form, show all work
x+y=2

Answers

Answer:

y=x-2

Step-by-step explanation:

You have to move the Y to one side and  get the X and the 2 on the other side.  

Which expression is equivalent to "-28xy+35y"?

Answers

Answer:

−7y(4x−5)

Step-by-step explanation:

ive already calculated it thanks

Answer:

D. −7y(4x−5)

CREDIT GOES TO THIS GUY THEY SAID THE ASWER FIRST⬆️

Find two consecutive ODD integers such that: The square of the larger is 120 more than the square of the smaller

Answers

Answer: See explanation

Step-by-step explanation:

Le the number be x and x+2

The information given can be formed into and equation as:

(x + 2)² = x² + 120

(x + 2)(x + 2) = x² + 120

x² + 2x + 2x + 4 = x² + 120

Collect like terms

x² - x² + 2x + 2x = 120 - 4

4x = 116

x = 116/4

x = 29

The smallest number is 29

The larger number is x + 2 = 29 + 2 = 31

Find the missing values in the ratio table.
Please help me!!

Answers

Answer:

apples : 2 , 4 , 6 , 8

oranges : 5 , 10 , 15 , 20

those in bold are answers :)

Answer:

2:4 :: x:10

x=5

4:x :: 10:15

x=15

15:8 ::15:x

x=8

Louis bought 12 pounds of fish for $180 for a dinner party. He decided to buy 5 more pounds of fish. How much will it cost him?

Answers

Answer:

$75

Step-by-step explanation:

180÷12=15

so $15 for one pound.

15×5=75

Five pounds will be $75

Caculate the sale price to two decimal places of an item which is sold at a discount of 18% to its regular price of $100.​

Answers

Answer:

the answer is

well $100 can also be known as 100% and 18% of 100% is 82%

so in decimal form is 0.82

Step-by-step explanation:

may i have brainliest pls

identify the slope and the intercept for the following inequality -2×-y​

Answers

[tex]\Huge{\textbf{\textsf{{\color{navy}{ᴀɴ}}{\purple{ᴡs}}{\pink{ᴇʀ}}{\color{pink}{:}}}}}[/tex]

It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.

(a) Jasmine ran 55 miles in 4242 minutes. Part A At what rate did Jasmine run? ​Jasmine ran at a rate of minutes per mile. ​Part B Katie ran 44 miles. She ran at a rate that was 1.11.1 minutes per mile slower than Jasmine. For how many minutes did Katie run? Explain how you determined your answer. ​ ​

Answers

Answer:

Part A

0.764 minutes/miles

Part B

48.4 minutes

Step-by-step explanation:

a) Jasmine ran 55 miles in 42 minutes. Part A At what rate did Jasmine run?

​Jasmine ran at a rate of minutes per mile. ​

Rate = Minutes/Miles

Minutes = 42 minutes

Miles = 55 miles

Jasmine's rate = 42 minutes/55 miles

= 0.7636363636 minutes/miles

Approximately = 0.764 minutes/miles

Part B

Katie ran 44 miles. She ran at a rate that was 1.1 minutes per mile slower than Jasmine. For how many minutes did Katie run? Explain how you determined your answer. ​ ​

Rate = Minutes/Miles

Minutes = ?

Miles = 44 miles

Rate = 1.1 minutes per miles

Hence:

1.1 minutes per miles = x/44 miles

x = 1.1 minutes per miles × 44 miles

x = 48.4 minutes

MODELING WITH MATHEMATICS A contractor extends a house on two sides.
A. The area of the house after the the renovation is represented by (x+50)^2
B. Use the polynomial in part (a) to find the area when x=15. What is the area of the extension?

Answers

Answer:House=4,225ft^2

Step-by-step explanation:

(15)^2+100(15)+2,500

=225+1,500+2,500

=4,225

(a) The area of the house is [tex]x^2+100x+2500 \; \; ft^2[/tex]

(b) Area of the extension

House =4225 ft^2

Important information :

The area of the house is represented  by quadratic expression

[tex](x+50)^2[/tex]

To find out the product to multiply x+50 twice

[tex](x+50)(x+50)[/tex]

Apply FOIL method to multiply the parenthesis

[tex](x+50)(x+50)\\x^2+100x+2500[/tex]

The area of the house is [tex]x^2+100x+2500 \; \; ft^2[/tex]

(b) given x=15. To find area of extension , we replace x with 15 in the answer we got from part (a)

[tex]x^2+100x+2500 \\x=15\\(15)^2+100(15)+2500 \\225+1500+2500\\4,225[/tex]

Area of the extension

House =4225 ft^2

Learn more about the quadratic  here:

brainly.com/question/4053601

Which Value of N makes the following equation true ?

Answers

Answer is
16
You’re welcome

Answer: 4(4) = 16

since a square root is like a number multiplied by itself, it would be 4(4) making n = 16 :)

Math problem pls help me

Answers

9514 1404 393

Answer:

  A'(-2, -1), B'(-1, 3), C'(-3, -5), D'(1, 2)

Step-by-step explanation:

Rotation 270° CCW about the origin is accomplished by the transformation ...

  (x, y) ⇒ (y, -x)

The rotated point coordinates are shown above and on the graph below.

The ordered pairs below represent a proportional relationship.
(8, 12), (16, 24), (x, 21)

Find the value of x.

Answers

Answer:

x=14

Step-by-step explanation:

Your unit rate is 1.5 because if you divide 12 by 8, you get 1.5. You divide 21 by your unit rate to get 14.

PLEASE HELP THIS IS DUE TODAY AND I HAVE NO IDEA

Answers

Answer: 62.4

Step-by-step explanation:

6 times 5.20 times 1/2 = 15.6

15.6 times 4 = 62.4

What must be added to both sides of the equation x – 12 = 15 to isolate the variable?
a. -15
b. -12
c. 12
d. 15

Answers

Answer:

c. 12

Step-by-step explanation:

To isolate the variable, you need to cancel out whatever's on the same side of the variable by using the inverse of the operation.

Hope this helps!! Have an awesome day φ(*^0^)

Some zip codes in Tennessee start with a "37", then they have 3 more numbers after that (ex: 37XXX). How many possible zip codes exist starting with a "37"?

a
720
b
50653
c
120
d
1000

Answers

Answer:

b

Step-by-step explanation:

If something(1 litecoin) is $130 and I buy $90 of it how much of that coin do I own?

Answers

Answer:

69.23%

Step-by-step explanation:

[tex]\frac{90}{120}[/tex] × 100

=69.23

∴ You would own 69.23% of the litecoin

Which of the following is the inverse function of f(x)=3-x/5

Answers

Answer:

A

Step-by-step explanation:

Please help meeeee!!!

The cost to rent a ballroom is $293 up front plus an additional $59 per hour. If a ballroom is rented for 6 hours, what is the cost?​

Answers

Answer:$647

Step-by-step explanation:

293+(59*6)=

293+454=

647

First start off with 293

Now multiply 59 by 6 because 6 is how many hours they will rent it for.

59 x 6 = 354

After that add the 354 to the 293 we had before.

293 + 354 = 647

So the cost of the ball room would be 647 dollars.

After summer Mitchell's favorite store was having a 20% sale off swim suits. If each swim suit's original price was $43.00, how much would Mitchell pay per swim suit after the discount?

Answers

Answer:

Step-by-step explanation:

43 * .20 = 8.6 this is the discount

So subtract the discount from the price to get

43.00-8.60= $34.40

Clara is running a bakery. She's has made a street sign to direct people to her bakery. She painted one side of the post and sign. What is the painted area?

A. 276 square inches

B. 240 square inches

C. 344 square inches

D. 324 square inches

Answers

Answer:

its D

Step-by-step explanation:

-2 1/2 divided by 3 1/2

Answers

-0.71428571428 :) hope this helps

Answer:

-07428571428 yan na ang agot

which one is weight?
1 kg stone
1 kg cotton

Answers

Answer:

1kg stone

Step-by-step explanation:

Answer:

1kg stone is heavy so it is weight

Answer any question that you can.

Answers

9.) 8 - 1, 2, 4, 8
16 - 1, 2, 4, 8, 16

Both’s GCF is 8.


8a + 16ac = 8(a + 2ac)

10.) a = -5
c = -1

9a + 16c


Substitute.


9(-5) + 16(-1) = -45 + (-16)


Answer: -61

11.) -4b - 8c + 12 - 8b + 2c + 6


Combine like terms.

-4b - 8b = -12b
-8c + 2c = -6c
12 + 6 = 18


New expression: -12b - 6c + 18

First answer gets brainly! 78 points!

Answers

1. They both saved 65, causing a 0 dollar difference.

2. 384 ounces

explanation: 4 x 6 = 24
24 x 16oz = 384

hope this helps!

find compound interest paid when a sum of Rupees 10,000 is invested for 1year & 3 months at 17/2% per annum compounded annualy. ​

Answers

Answer:

Rs 1,073.56

Step-by-step explanation:

The computation of the compound interest is shown below:

Compound interest = Principal (1 + rate of interest)^time period - Principal

= Rs 10,000 × (1 + 17 ÷ 2%)^1.25 - Rs 10,000

= Rs 10,000 × (1 + 0.085)^1.25 - Rs 10,000

= Rs 11073.56 - Rs 10,000

= Rs 1,073.56

The 1.25 come from

1 year & 3 months

= 5 by 4

Jan is 5 years older than Tom. In 3 years, Tom will be 3/4 as old as Jan. What is Tom's age now?

Answers

Tom is 12 and Jan is 17

Answer: Tom is 6 y/o

Find the value of x.

Answers

Answer:

61.7

we have:

cos 56⁰.x = 30/tan 41⁰

=>

[tex] x = \frac{30}{ \tan(41 {}^{0} ) \cos(56 {}^{0} ) } = 61.7[/tex]

Other Questions
metal health disorder may not affect Isometric exercises are recommended for an older person or those with high blood pressure, since they involve no heavy lifting.True or False? i just failed this six weeks all dam classesim sad like so sad rn and um im messed up so much. how did denison Olmsted help increase gold mining in north Carolina How far west you live from the prime meridian is measured as your ________, whereas an imaginary line marking all those places at that same distance west of the prime meridian is called a ________. How can you use angle measures to prove that lines are parallel? Find the area of the circle to the nearest hundredths ( Use 3.14 for pi) (4cm) The equations represent chemical reactions that take place in living organisms.Which reaction releases the greatest amount of energy? *carbon dioxide + water glucose + oxygenglucose + oxygen carbon dioxide + waterglucose alcohol + carbon dioxideglucose lactic acid Find the x-amd y-intercepts of the equation x-y=1 Read the passage and sort the words and phrases intothe appropriate categories.Inner MonologueActual Dialogue"Carl, what did you think of the film?" Russell askedeagerlyCarl hesitated to respond. He thought it was confusingand poorly made, but he didn't want to hurt his friend'sfeelings. After all, Russell worked so hard to produce it."Well, I will say it was interesting, with lots oftwists in the plot PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME ASAP Why did California's application for statehood cause a sectional crisis? What is the probability of NOT choosing a 4? Calculate the area of the window using dimensions given in part A. Show your work and explain your reasoning The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many students are girls? How is Johanna Mason from Hunger Games intimidating? How does a hyperlink function in an Outlook message? When the hyperlink is selected, a web page opens inside the message. When the hyperlink is selected, a web page opens in the default browser. When the message is opened, the hyperlink automatically opens a web page. When the message is opened, a web page displays in a special preview window. PLEASE HELP ME FAST!Of the many functions of the skeletal system, which is directly helpful to the circulatory system?A. stores calcium and phosphorusB. provides an attacment point for musclesC. produces blood cellsD. provides shape and support for the bodyE. protects internal organs Identify the section which MOST CLEARLY supports the generalizationthat the printing press was the most important invention of all time. In inside out & back again, what Ha and her mother left behind