write the first 4 terms of the sequence defined by its given rule 5. f(1) = 7, f(n) = -4.f(n - 1) + 15

Write The First 4 Terms Of The Sequence Defined By Its Given Rule 5. F(1) = 7, F(n) = -4.f(n - 1) + 15

Answers

Answer 1

Answer:

The first 4 terms of the sequence are: 3, 9, 81, 6561

Step-by-step explanation:

We are given the following recursive function:

[tex]f(n) = [f(n-1)]^{2}[/tex]

And the following initial condition:

[tex]f(1) = 3[/tex]

The second term of the sequence is:

[tex]f(2) = [f(2-1)]^{2} = f(1)^2 = 3^2 = 9[/tex]

The third term of the sequence is:

[tex]f(3) = [f(3-1)]^{2} = f(2)^2 = 9^2 = 81[/tex]

The fourth term of the sequence is:

[tex]f(4) = [f(4-1)]^{2} = f(3)^2 = 81^2 = 6561[/tex]

The first 4 terms of the sequence are: 3, 9, 81, 6561


Related Questions

What is a solution to the equation 6t = 114?
A t = 19
B t = 108
C t = 120
D t = 684

Answers

Answer:

A t=19

Step-by-step explanation:

6t=114

t=114/6

t=19

Answer:

t=19

Step-by-step explanation:

Can I get some help on this math problem

Answers

Answer:

[tex]x=3\sqrt{5}[/tex]

Step-by-step explanation:

Right Triangles

Right triangles have one of its interior angles with a measure of 90°.

In right triangles the Pythagora's Theorem is satisfied.

Being c the longest side (hypotenuse), a and b the shorter sides (the legs), then:

[tex]c^2=a^2+b^2[/tex]

We have modified the image to include some known data. Both triangles are congruent since they share one side, have a right angle, and have the same base length.

This means the value of x can be calculated as the hypotenuse of the triangle 3-6-x:

[tex]x^2=3^2+6^2=9+36=45[/tex]

[tex]x=\sqrt{45}=\sqrt{9*5}[/tex]

[tex]\boxed{x=3\sqrt{5}}[/tex]

tiffany makes money by commission rates. She gets 21% of everything she sells. If tiffany sold $27000 worth of items this month, what is her salary for the month .

Answers

Answer:

[tex]Salary = \$5670[/tex]

Step-by-step explanation:

Given

[tex]Items = \$27000[/tex]

[tex]Rate = 21\%[/tex]

Required

Determine her salary

Her salary is calculated as:

[tex]Salary = Rate * Items[/tex]

This gives:

[tex]Salary = 21\% * \$27000[/tex]

Convert % to decimal

[tex]Salary = 0.21 * \$27000[/tex]

[tex]Salary = \$5670[/tex]

How do I find the correct Domain.

Answers

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

hope this helps a little

What is the range? The range is __

Answers

Answer:

8

Step-by-step explanation:

Take the biggest value and smallest value, and subtract the smallest value from the biggest value:

9-1=8

The range is 8

The numbers provided are 1, 2, 3, 4, and 9. Subtract the greatest from least,

9 - 1, and your answer is 8

Solve the Equation.

91 = A - 45

Answers

The answer would be 46
91= A- 45
Flip the equation
A-45=91
Rearrange the equation and add 45 to both sides
A-45+45= 91+45
A=91+45
A= 136

1345667-123445=?answer first

Answers

The answer is 1,222,222.

Answer:

1,222,222 is the answer

Step-by-step explanation:

You can use a calculator to find out.

Order these numbers from least to greatest.
3.027, 3.2742, 3.27, 3.3

Answers

Answer:

3.027, 3.27, 3.2742, 3.3

Step-by-step explanation:

Hi! When we have these types of problems we always look at the first number. Is it less than the others? Since they are all 3, we have to look at the decimal place. 0 is less than 2 and 3, so we put 3.027 first. Since the others have 3.27 as the first point, we look at the one with the most decimal placements after 3.27 (3.2742) as being greater than 3.27. 3.27 goes before 3.2742. 3.3 is greater than all of them, so it goes last.

Answer:

3.027, 3.27, 3.2742, 3.3

Step-by-step explanation:

First list the numbers:

3.027

3.2742

3.27

3.3

Add the zero to the numbers without 4 decimal places so that they are equal.

Now you have:

3.0270

3.2742

3.2700

3.3000

Look at the number with the lowest number on the first decimal place, which is 3.0270. This becomes the lowest number. Then move on to the next decimal place. 3.2700 and 3.2742 both have the same digits on the first two decimal places. Look at the third decimal place between the two and you can see that 0 (on 3.2700) is lower than 4 (on 3.2742).

So now we have:

3.0270, 3.2700.

Then looking at the last two you have 3.2742 and 3.3000. In this case it's clear that 3.2742 is smaller so we put it as the third.

The order is as follows:

3.0270 (3.027)

3.2700 (3.27)

3.2742 (3.2742)

3.3000 (3.3)

pls help 20 points I just need an explanation ​

Answers

Answer:

i=prt

i = 1,000 x 0.045 x 1.5

Step-by-step explanation:

The local gym wants to expand the entire building by doubling the size. Find the perimeter of the entire rectangle

Answers

Answer:

the perimeter is 50x

Step-by-step explanation:

Which value of the variable is a solution of the inequality t > -5

Answers

Answer:

-4 and any number above.


find the value of x

Answers

if both sides are supposed to be equal, then x=59

7. Mangoes are sold at 5 for $4.00 and oranges are sold at 3 for $10.50. Mother bought 8
mangoen and 7 oranges. How much did she pay in all for the Items?

working ​

Answers

Answer:

hi  hahahah

Step-by-step explanation:

First calculate the individual cost for each item

Mangoes: $4 / 5 = .8$

Oranges: $10.5 / 3 = $3.5

Now multiple the individual cost by the amount of each item that was bought

Mangoes: 8 x .8 = $6.4

Oranges: 7 x 3.5 = $24.5

Total cost = $30.90

A secret code is made up of three digits followed by
two letters. How many different codes can be made if digits and
letters can be repeated? I NEED ASAP PLS HELP

Answers

most likely 10 because the initial amount is 5

3/5 of the students in a classroom are girls. If there are ten boys in the class, how many total students are there?


15

25

16

20

Answers

Answer:

25

Step-by-step explanation:

15=Girls

10=Boys

25 =The total of the number of students

The triangle with lines through it designates a no parking zone. What is the value of x?

2x

45°

+o

GO

Answers

Answer:

45°

Step-by-step explanation:

A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

All the three angles in a triangle add up to 180°.

From the question:

x + 2x + 45 = 180° (sum of angles in a triangle)

Adding alike terms:

3x + 45 = 180

Subtract 45 from both sides:

3x + 45 - 45 = 180 - 45

3x = 135

Divide both sides of the equation by 3 to find x:

3x / 3 = 135 / 3

x = 45°

Therefore:

The value of x is 45°

A study of a population of 3600 dogs found that 6 out of every 90 dogs have brown fur. Based on the results of this study, how many dogs in the population DO NOT have brown fur?

Answers

3600/90= 40 x 6 =240
3600 - 240 = 3360
3360 dogs in the population DO NOT have brown fur.

I NEED HELP PLEASE PLEASE HELP ME I WILL THANK YOU A LOT

Answers

Answer:

$8.50

Step-by-step explanation:

First, you would look at all the prices. If you have 8 tickets and they cost $62 after discount, what is the discount amount? That is 75 cents. Then, you would divide $62 by 8 tickets to get the price of each ticket. That would be $7.75 for each ticket. You would then add the discount of 75 cents to get the original price of $8.50 for each ticket.

If f(x) = x2 + 2x + 1 and g(x) = 3(x + 1)2, which is an
equivalent form of f(x) + g(x)?
O x2 + 4x + 2
O 4x2 + 2x + 4
O 4x2 + 8x + 4
o 10x2 + 20x + 1

Answers

the answer should be C

The equivalent form of f(x) + g(x), if  f(x) = x² + 2x + 1 and g(x) = 3(x + 1)² is

4x² + 8x + 4, so option C is correct.

What is a function?

In the case of a function from one set to the other, each element of X receives exactly one element of Y. The function's domain and co-domain are respectively referred to as the sets X and Y as a whole.

Given:

f(x) = x² + 2x + 1 and g(x) = 3(x + 1)²

Calculate the equivalent form as shown below,

f(x) + g(x) = x² + 2x + 1 + 3(x + 1)²

Simplify the above equation,

f(x) + g(x) = x² + 2x + 1 + 3(x² + 2x + 1)

f(x) + g(x) = x² + 2x + 1 + 3x² + 6x + 3

f(x) + g(x) = 4x² + 8x + 4

To know more about function:

https://brainly.com/question/5975436

#SPJ2

1. A bag contains 4 gold coins and 5 silver coins. Two coins are taken out at random from the bag, one at a time, without replacement. Find the probability that
a. Both coins are gold.
b. The first coin is silver and the second coin is gold.

Answers

I think it's b. the first coin is silver and the second coin is gold.

Is the expression 3(x+1 1/2)-3 equivalent to 3x+ 1 1/2

Answers

Answer:

Yes

Step-by-step explanation:

3(x+5.50)-3

3x+16.50)-3

-3(3x+16.50)

(1, 1), (–1,5)
find slope

Answers

Answer:

slope = 0

MARK ME AS A BRAINLIST AND FOLLOW ME

(-7. + 3 + x) - (=6 - 7.3 + 2.)

Answers

Are we finding x? Or are we solving the equation with x

HELP IM TIMES FOR 20 MINUTES! IVE BEEN ON THIS FOR THE LONGEST!

Answers

Answer:

Point d

Step-by-step explanation:

because the x is -2 and the y is 3 so you look for the x and then the y

At Emmy's Swimwear, there are 28 bikini styles and 42 other types of swimsuit. What percentage of the swimsuit styles are bikinis?

Answers

Answer:

Approximately 66.66% of swimsuit styles are bikinis.

Step-by-step explanation:

Given

Bikini styles Swimwear = 28Other types of Swimsuit = 42

Let 'x' be the percentage of the swimsuit styles are bikinis.

so

x% of 42 = 28

[tex]\frac{x}{100}\times \:42=28[/tex]

[tex]42x = 100 \times 28[/tex]

[tex]42x = 2800[/tex]

divide both sides by 42

[tex]\frac{42x}{42}=\frac{2800}{42}[/tex]

simplify

[tex]\:\:x\:\approx \:66.66\:\%[/tex]

Therefore, Approximately 66.66% of swimsuit styles are bikinis.

Write the equation of the line passing through the points (-4,7) and (-7,4)​

Answers

Answer:

y=x+11

Step-by-step explanation:

The answer is: 1

To find the equation I subtract 4-7 and -7-(-4). I receive the answer of -3/-3.

-3/-3 simplifies 3/3 which is equal to 1.

So the equation is 1? I think this is the correct answer

can anyone help me with this please marking brainly :)

Answers

Answer:

I can answer Part B since I can't explain Part A in words.

Step-by-step explanation:

Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)

Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)

Angle 4 = 81 degrees (I also don't know how to explain this.)

Move words to the blanks and equations to the boxes to prove that vertical angles <1 and <3 are congruent

Answers

Answer:

Because linear pairs are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.

Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.

Step-by-step explanation:

A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (that is they add up to 180°).

Therefore m∠1 and m∠2 are linear pairs, also m∠2 and m∠3 are linear pairs.

Hence:

m∠1 + m∠2 = 180°

m∠2 + m∠3 = 180°

Using substitution property:

m∠1 + m∠2 = m∠2 + m∠3

subtracting m∠2 from both sides:

m∠1 + m∠2 - m∠2 = m∠2 + m∠3 - m∠2

m∠1 = m∠3

∠1 and ∠2 are congruent

Because linear pairs are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.

Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.

Hal rolls a fair six-sided die 60 times. What is the best prediction of the number of times Hal will roll a 3 or a 6?

exactly 20 times
roughly 20 times
exactly 30 times
roughly 30 times​

Answers

Answer:

roughly 20 times

Step-by-step explanation:

2/6 = 1/3 is the probability he will roll a 3 or a 6

1/3 * 60 = 20.

It's not exact because you can't predict exactly what will happen, so it's roughly 20 times.

Susan subscribed to a video game rental service. She pays the same
amount for each video game she rents plus a monthly fee to subscribe to
the service. The cost for different numbers of video game rentals are
shown in the graph.

Answers

Answer:

C

Step-by-step explanation:

Answer: C. $6.00 monthly fee and $1.25 per video game

Step-by-step explanation:

I did the test

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