What are the first three terms of the sequence defined by the recursive function an = an-1-(an-2-4), when a5 =-2 and a6 = 0?
-14, 14,- 4
6, 10,8
-2 0,2
2, 8, 10​

Answers

Answer 1

Answer:

6, 10 and 8

Step-by-step explanation:

Given the recursive function an = an-1-(an-2 - 4), when a5 =-2 and a6 = 0?

a6 = a5 - (a4 - 4)

0 = -2  - (14 - 4)

2 = - (a4 - 4)

-2 = a4 - 4

a4 = -2 + 4

a4 = 2

a5 = a4 - (a3 - 4)

-2 = 2  - (a3 - 4)

-2-2 = - (a3 - 4)

-4 = -(a3 - 4)

4 = a3 - 4

a3 = 4+4

a3 = 8

Also

a4 = a3 - (a2 - 4)

2 = 8 - (a2 - 4)

2-8 = - (a2 - 4)

-6 = -(a2 - 4)

6 = a2 - 4

a2 = 6+4

a2 = 10

a3 = a2 - (a1 - 4)

8 = 10 - (a1 - 4)

8-10 = - (a1 - 4)

-2 = -(a1 - 4)

2 = a1 - 4

a1 = 2+4

a1 = 6

Hence the first 3 terms are 6, 10 and 8

Answer 2

Answer:

C. 6, 10, 8

Step-by-step explanation:

i took the test


Related Questions

A PlayStation 5 originally sells for $499.99. If you can only find them on eBay for $899.99, what is the percent of increase from the original price?

Answers

Answer:

There would be an 80% increase from 499.99 to 899.99.

A six-sided number cube is rolled. Event A consists of rolling an even number. Event B consists of rolling a number greater than four. Match the correct sample space to each event.


1. {2, 4, 5, 6}
2. {1, 3, 5}
3. {5, 6}
4. {6}
5. {4, 5, 6}
6. {2, 4, 6)


A. Complement of A

B. Union of A and B

C. B

D. Intersection of A and B




ASAP!!!! PLEASE!!!!!​

Answers

Answer:

A-2

B-1

C-3

D-4

Step-by-step explanation:

Got it right on Edmentum

Answer:

A. 2

B. 1

C. 3

D. 4

Step-by-step explanation:

A.

A = {2, 4, 6}

Complement of A = {1, 3, 5}

Answer: 2

B.

A = {2, 4, 6}

B = {5, 6}

A U B = {2, 4, 5, 6}

Answer: 1

C.

B = {5, 6}

Answer: 3

D.

A ∩ B = {2, 4, 6} ∩ {5, 6} = {6}

Answer: 4

How to get an area for this shape

Answers

Answer:

A = 135 cm²

Step-by-step explanation:

The figure is composed of 2 triangles.

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

The total area is the sum of the area of both triangles

A = [tex]\frac{1}{2}[/tex] × 18 × 7 + [tex]\frac{1}{2}[/tex] × 18 × 8

   = 9 × 7 + 9 × 8

   = 63 + 72

   = 135 cm²

WILL MARK BRAINLIEST!

Answers

Answer:

1996 and 2000

Step-by-step explanation:

Since P (the population) is represented in thousands, 8000 will be represented by 8.

Plug in 8 as P and solve for t:

P = 2|t - 8| + 4

8 = 2|t - 8| + 4

4 = 2|t - 8|

2 = |t - 8|

Separate this into 2 possible cases:

2 = t - 8 and -2 = t - 8

Solve:

2 = t - 8

10 = t

-2 = t - 8

6 = t

So, the answers are 6 and 10.

The town will have a population of 8000 in 1996 and 2000

61, 21, 80, 46, 37, 70, 59, 65, 46, 39, 17, 87, 3, 10 Calculating the Mean, Median, Mode and Range of Data

Answers

Answer:

Mean: 45.8 (rounded to the tenth place)

Median: 46

Mode: 46

Range: 84

Step-by-step explanation:

The perimeter of a rectangle is 48cm. its length is 4 cm. what is its width?

Answers

Answer:

P = 48

4 + 4(two given lengths) = 8

48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)

40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm

What is the angle and the answer pls this is a quiz grade

Answers

Answer:

b is equal to 132

because of the transversal rule, b and 132 are corresponding angles, which means that they are equal to the same measure

hope this helps :)))

ur lucky at least ur math teacher gives you fun assignments to do to solve a murder mystery

my teacher has us doing 4 page review guides for finals

I think B is equal to 132
I hope it’s help

If ∠2 is 70˚, what is the measure of ∠4?

Answers

Answer:

Step-by-step explanation:

If the measure of angle A is 70 degrees, then what is the measure of the supplement of the complement of angle A? 12

The measure of ∠4 is 20° when ∠2 is 70˚

What is Angle?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

An angle is the figure formed by two rays,

The given angle ∠2 = 70°

Complementary angles : A Pair of angles whose sum is 90°

So, Let the complement of ∠A be x

So, ∠2+∠4 = 90°

70°+∠4 = 90°

∠4= 20°

Hence, the measure of ∠4 is 20°

To learn more on Angles click:

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#SPJ2

A hot air balloon holds 2,200 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter. How many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? (5 points) 2,199.8 kg 11,195.9 kg 392.7 kg 2,200.2 kg

Answers

392.7

To get the answer multiply Density * Volume

Mass = 0.1785 * 2200

Mass = 392.7

The amount of helium present in the hot air balloon = 392.7 kg

Formula to calculate density:

d = mass / volume

Given: volume of helium present in a hot air balloon = 2200 cubic meters

density of helium = 0.1785 kilograms per cubic meter

Let, m represents the amount of helium present in the balloon.

Using the formula of density,

density of helium = mass of helium / volume of helium

⇒ 0.1785 = m / 2200

⇒ m = 0.1785 × 2200

m = 392.7 kg

Therefore, option (c) is the correct answer.

Learn more about density here:

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[tex]500 \times 96515 + 275[/tex]

Answers

Answer:

= 48257775

Step-by-step explanation:

500x96515+275

multiply first

48257500+275

lastly, add

=48257775

i hope this helps :)

Using pemdas you would solve the multiplication first then add the 275, so the answer would be 48,257,775

Solve the factorial.

The factorial \(4!\) is equal to

Answers

Answer:

4! = 24

Step-by-step explanation:

[tex]4! = 4 * 3 * 2 * 1 \\\\4! = 12 * 2 * 1\\\\4!= 24 * 1\\\\\boxed{4!=24}[/tex]

Hope this helps.

Answer:

24

Step-by-step explanation:

I just did the same lesson and got it right

In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term

Answers

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

The plant produces 1200 packages of grapes. An inspector randomly chooses 24 packages and discovers that 8 of the packages have broken seals. What is the probability the package has a broken seal?​

Answers

Answer:

8

Step-by-step explanation:

How do I find the indicated value for this problem?

Answers

Answer:  just want points tbh

Step-by-step explanation:

For some reason it didnt let me upload as text so here you go.

Gerard paid $10 for one dozen pomegranates costing 75¢ each.
How much should he get back in change?

Answers

$9.25 cents I’m pretty sure this is the correct answer

A skateboard was originally priced at $53.00. It is on sale for 15% off. What is the sale price of the skateboard?

Answers

Answer:

STEP BYy-step explanation:

I need help with this to! When i get the answer ill let ya know

We have given that skateboard was originally priced at $53.00.

It is on sale for 15% off.

We have to determine the sale price of the skateboard.

The discount is 15%.

So we have to find 15% of $53.

What is the method to converting the percentage into desimal ?

Divide the percentage by 100 so we will get the the desimal form of percentage.

convert 15% into desimal

[tex]\frac{15}{100}=0.15[/tex]

Multiply 0.15 by original price,

[tex]0.15\times 53=7.95[/tex]

The original price discounted by this amount

Therfore he save $7.95

Sale price=53$-7.95=45.05

Therefore we get the salling price is $45.05.

To learn more about the selling price visit:

https://brainly.com/question/1153322

When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y (in grams) of carbon-14 in the body of an
organism after t years is y = a(0.5)
t/5730
where a is the initial amount (in grams). What percent of the carbon-14 is released each year? Round
your answer to the nearest hundredth.
his
about
%​

Answers

Answer:

0.01  %

Step-by-step explanation:

The given model is;

y = a (0.5)^t/5730

Which is;

y = a(2^-1(t/5730)

Then;

y = a (2^-1/5730)^t

y = a(0.999879)^t

Hence;

Given that the general model is;

y(x)= a(1-r)^x

Where r is the rate percent

Since 1-r =0.999879

r = 0.00012096

y = a(1 - 0.00012096)^t

So;

r= 0.00012096* 100 = 0.01 %


A rock is dropped from a hot air balloon at a height of 100 meters. The rock's
height from the ground in meters, h(t), is modeled by the formula
h(t) = -4.9ť + 100, where t is the time in seconds.
What is the average rate of change in m/s of the height of the rock between 2 and
4 seconds?
A. -4.9
B. -9.8
c.-29.4
D. -58.8

Answers

Answer:

-29.4

i was told trust me ig?

The average rate of change in m/s of the height of the rock between 2 and 4 seconds is -4.9.

What is average?

The average is defined as the mean value of the given data which is equal to the ratio of the sum of the data value to the total number of units present in the data.

Average = the sum of the data value / the total number of units

The rock's height from the ground in meters, h(t), is modeled by the formula h(t) = -4.9ť + 100,

where t is the time in seconds.

At t = 2 seconds

h(t) = -4.9ť + 100

h(t) = -4.9(2) + 100

     = 90.2

At t = 4 seconds

h(t) = -4.9ť + 100

h(t) = -4.9(4) + 100

     = 80.4

The average rate of change in m/s of the height of the rock is between 2 and 4 seconds

              = 80.4 - 90.2 / 2

              = - 4.9

Thus, the correct option is A.

Learn more about average here;

https://brainly.com/question/13496328

a farmer has 20,000 soybeans seeds he has already planted 6,000 seeds he is planting 2,000 seeds on each acre of land how many acres can the framer plant with the remaining seeds ​

Answers

Answer:

acres he can plant with remaining seeds

Step-by-step explanation:

i got it correct on ttm

Answer:

acres he can plant with remaining seed

what dose (-1/4) * (1/3)=

Answers

Answer:

7/12

Step-by-step explanation:

Help plz I just need the answer

Answers

Answer:

x = 7

Step-by-step explanation:

Find the value of x and round to the nearest tenth. *bots will be reported*

Answers

x is c in the pythagorean theorem which means a^2+b^2=c^2 and c = x so 22^2+27^2=x^2. x will equal 38.8

Max earns $9.30 per hour does part time job how much money will max earn if he works 1,5,8,H hours also how many hours will he work to earn $180

Answers

Step-by-step explanation:

write a formula that models this.

9.30x = money earned

If he works 2 hours, he'll get $9.30 times (2)

and so on. so you write and solve

9.30(1), 9.30(5), 9.30(8)

for the second part you want to substitute 180 for the amount earned which will become

9.30x = 180 then you solve for x

what is the median of 77, 84, 85, 88, and 99?

Answers

Answer:

86.6

Step-by-step explanation:

77+84+85+88+99=433

433/5=86.6

Answer:

2.5 OR 2 1/2

Step-by-step explanation:

77, 84, 85, 88, 99

5 numbers

5/2= 2.5

PLEASE HELP NEED THE ANSWER

-20
-15
-25
-18

Answers

x=-15, because the equation of the graph is y=1/3x+1, and you substitute y for -4.

This is the graph of f(x). What is the value of f(2)?
A. 8
O O
B. 4
C. 2
D. 16

Answers

Answer:

c.2

Step-by-step explanation:

f(x)=2 and where is x you place it with 2 and it won't change because there is no another number is the equation of f(X)

a heater is turned on in a cold room the scatterplot shows the relationship between the length of time since the heater was on in the temperature of the room the y-intercept of the estimated line of best fit is at (0, b). enter the approximate slope of the estimated line of best fit in the second response box ​

Answers

Answer:

A estimation of the slope is (1/2) °C/min

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Then we just need to look at the graph and find two points that belong to the graphed line (not the points) and estimate the slope

We can see that the line passes near the points (14 min, 14°C) and (18 min, 16°C)

Then the slope is:

a = (16°C - 14°C)/(18 min  - 14 min) = (2°C)/(4 min) = (1/2) °C/min

Answer:

what were the answers? IStep-by-step explanation:

26) In triangle ABC, if AB-BC and B
= 70°, ZA will be: *
O a. 70°
O b. 110°
O c. 55°
O d. 130°​

Answers

Answer:

55degrees

Step-by-step explanation:

Let the other angles of the triangle are x, x degrees. Since the sum of angles in a  triangle is 180degrees, hence;

<A + <B+ <C = 180

x + 70 + x = 180

2x+70 = 180

2x = 180 - 70

2x = 110

x = 110/2

x = 55

SInce <A is equal to x, hence <A is 55degrees

Please help. What is the answer?

Answers

Answer:

ASA

Step-by-step explanation:

The longest side is the same (denoted by the small line).

Assuming the red dot and the x mean the angles are the same, the triangles share two common angles.

As such, the triangles share one common side and two common angles. Hence ASA

In this table, Davis recorded how far he could throw balls of different weights.
He modeled the data with a linear best-fit function. He can throw a certain ball 30 feet. Approximately how many pounds would this ball weigh?

a. 7.5 pounds
b. 8.1 pounds
c. 8.6 pounds
d. 9.1 pounds

Answers

Answer:

Option C

Step-by-step explanation:

By using linear best fit calculator for the given data,

Equation of the line of best fit will be,

y = -5.2514x + 74.94413

Here, x = Weight of the ball

y = Distance thrown by Davis

Now substitute y = 30 feet to calculate the weight (x) of the ball.

30 = -5.2514x + 74.94413

5.2514x = 74.94413 - 30

5.2514x = 44.94413

x = 8.5585

x ≈ 8.6 pounds

Therefore, David can throw a ball 30 feet weighing 8.6 pounds.

Option C will be the answer.

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