A recursive formula for the sequence 18, 9, 4.5, ... is

Answers

Answer 1

Answer:

Hope this image helps answer your question

and mark brainliest please.

A Recursive Formula For The Sequence 18, 9, 4.5, ... Is
Answer 2

The recursive formula is aₙ= aₙ₋₁ /2 for n > 1.

What is Recursive Formula?

A recursive formula is a formula used to describe a sequence of numbers, where each term in the sequence is defined in terms of the preceding term(s). In other words, it is a formula that uses one or more of the previous terms in the sequence to generate the next term.

The recursive formula for a sequence gives a way to find any term of the sequence using the previous term(s).

To find the recursive formula for the sequence 18, 9, 4.5, ..., we need to look at how each term is related to the previous term.

We can see that each term is half of the previous term, so the recursive formula is:

a₁ = 18 (the first term is given)

aₙ= aₙ₋₁ /2 for n > 1

This means that to find the nth term of the sequence, we divide the (n-1)th term by 2. For example:

a_2 = a_1/2 = 18/2 = 9

a_3 = a_2/2 = 9/2 = 4.5

a_4 = a_3/2 = 4.5/2 = 2.25

and so on.

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Related Questions

Hello, please, I need the answers!! Each year a school booster club holds a dance to raise funds. In the past, the profit of the club makes after paying for the bank and other costs has been modeled by the function p(t) = -16t^2 - 800t - 4000 where t represents the ticket price in dollars. a. What ticket price gives the maximum profit? b. What is the maximum profit? c. What ticket prices would generate a profit of $5000?

Answers

Answer:

Step-by-step explanation:

Given the profit a club makes after paying for the bank and other costs modeled by the function

p(t) = -16t^2 - 800t - 4000

t is the ticket price

The maximum profit occurs when dp/dx = 0.

dp/dx = -32t-800

since dp/dx

0 = -32t-800

32t = -800

t = -800/32

t = - 25

Hence ticket price gives the maximum profit is $-25

b) to get the maximum profit, substitute t = -25 into the modelled function

p(t) = -16t^2 - 800t - 4000

p(-25) = -16(-25)² - 800(-25)- 4000

p(-25) = -10000+20000-4000

p(-25) = 6000

Hence maximum profit is $6000

c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t

p(t) = -16t^2 - 800t - 4000

5000 = -16t^2 - 800t - 4000

-16t^2 - 800t - 4000 -5000 = 0

16t^2 + 800t + 9000 = 0

Answer:

Step-by-step explanation:

Given the profit a club makes after paying for the bank and other costs modeled by the function

p(t) = -16t^2 - 800t - 4000

t is the ticket price

The maximum profit occurs when dp/dx = 0.

dp/dx = -32t-800

since dp/dx

0 = -32t-800

32t = -800

t = -800/32

t = - 25

Hence ticket price gives the maximum profit is $-25

b) to get the maximum profit, substitute t = -25 into the modelled function

p(t) = -16t^2 - 800t - 4000

p(-25) = -16(-25)² - 800(-25)- 4000

p(-25) = -10000+20000-4000

p(-25) = 6000

Hence maximum profit is $6000

c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t

p(t) = -16t^2 - 800t - 4000

5000 = -16t^2 - 800t - 4000

-16t^2 - 800t - 4000 -5000 = 0

t^2 + 50t + 562.5= 0

Factorize

-50±√2500-4(562.5)/2

t = -50±√2500-2250)/2

t = -50±15.81/2

t = -65.81/2 and -34.19/2

t = -32.91 and -17.09

help pls i’ll give out extra points

Answers

Answer:

The answer is similar, AA similar.

Step-by-step explanation:

The triangles are obviously similar; but we only know that because of the two identical angles. (AA)

Please mark Brainliest!

When finding the common denominator between fractions, which value can be helpful, GCF, or LCM? How?

Answers

Answer:

The answer would be GCF because when you finding the common denominator GCF is how you do it. at least thats what I do and I got it right! :p

hope this helps! :) I don't really know how to explain lol

I don’t understand this please help

Answers

Answer:

2

Step-by-step explanation:

The answer is "The graph is incorrect. He should have shaded ro the right"

Make a table of ordered pairs for the equation.
y= -1/3x+1
Then plot two points to graph the equation.
It’s a 10 by 10 graph and it has 4 areas

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: -1/3

Y-Intercept: (0,1)

(17) 60% of what is 24?

Answers

Answer:

Step-by-step explanation:

24*60%= 14.4

Answer:

14.4

Step-by-step explanation

3/5 x 24

3/5 x 24/1

3/5 x 24/1=3x24

                   5 x 1

= 3 x 24

  5 x 1

72

5 x 1

72/5

what you do after that is you divide 72 and 5

72/5 = 14.4

so you answer is 14.4

hope this is right

How can ΔABC be mapped to ΔXYZ?

First, translate vertex A to vertex
.

Next,
ΔABC to align the sides and angles.

Answers

Answer:

X

Rotate

Step-by-step explanation:

correct on edge 2020

Answer:

a. x

c. rotate

Step-by-step explanation:

edge2021 :)

An object's velocity can be described by its acceleration and direction.
true or false

Answers

false.
because acceleration and direction are different units. an objects velocity can be described by its direction but not by its acceleration.

Answer: False

Step-by-step explanation:

hope it helped xx

Help please:))))))))))))))))))))

Answers

Answer:

option 4; 0

Step-by-step explanation:

[tex]f(x) = \left \{ {{2x + 7; x<1 } \atop {10 - 5x; x \geq 1}} \right.[/tex]

Substitiute in "2" for "x".

Since "2" is greater than "1", then the second equation must be used.

Substitute in "2" of "x".

10 - 5x

10 - 5 * 2

10 - 10

0

Option 4 is 0.

Pentru a culege nectar 45 de albine au vizitat, intr-o singura exeditie, unele 60 flori, iar altele 75 de flori . Stiing=d ca au vizitat imreuna 3120 de flori , sa se afle cate albine au vizitat cate 75 de flori.

Answers

69.3 I think hope that helps

Please only answer if you know the answer

Don’t say dumb stuff or just lie and about the answer or just put Radom words please

Answers

How are we supposed to answer when you literally only have like 1/3 of the stuff shown

An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 60°. The measures of the other interior angles are in the ratio 1 ∶ 7. What are the measures of the other interior angles?

Answers

Answer:

The measures of the other interior angles are 15° and 105°

Step-by-step explanation:

The given parameter of the measures of the interior angles of the triangle are;

The measure of one of the interior angle of the triangle = 60°

The ratio of the measure of the other interior angles = 1 : 7

Let the x represent one of the other interior angles and y represent the third interior angle, we have;

x + y = 180 - 60 = 120

x : y = 1 : 7

x = 1 part of 8 parts of 120°

y = 7 parts of 8 parts of 120°

Therefore;

x = 1/(1 + 7) × 120 = 1/8 × 120° = 15°

x = 15°

y = 7/(1 + 7) = 7/8 × 120° = 105°

y = 105°

The measures of the other interior angles are 15° and 105°.

solve for x -2(-x+1)+3x+3=26

Answers

Answer:

[tex]x=4.16[/tex]

Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons. What is the correct portion to solve this problem?

Answers

Answer:

3/4=n/8

Step-by-step explanation:

An equation to represent the given scenario is 3/4 = n/8. Therefore, option A is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, mix 3 liters of water with 4 lemons to make lemonade.

Let n be the number of liters of water mixed with 8 lemons.

So, an equation is 3/4 = n/8

3/1 = n/2

n=6

Therefore, option A is the correct answer.

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How can you use x- and y- intercepts to graph an equation

Answers

Answer:

Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. This method of finding x- and y-intercepts will be used throughout our study of algebra because it works for any equation.

Please mark brainliest :)

The next model of a sports car will cost 14.1% less than the current model. The current model costs $55,000 . How much will the price decrease in dollars? What will be the price of the next model?

Answers

Answer:

$3900.71 is the amount of money subtracted from the next model

51099.29 is the cost of the second model

Step-by-step explanation:

Enter values for X and Y in the table to plot points in the graph

Answers

Answer:12,16

Step-by-step explanation:

Answer:

16,28. 4,16. I'm not sure though

Use the​ slope-intercept form to graph the equation y=3/7x+3

Answers

Answer:

here you go

Step-by-step explanation:

The cube of a negative number divided by the square of 5 times a number

Answers

Answer:

finding a cube of a negative number will always be negative , just as the cube of a positive number will always be positive

Step-by-step explanation:

after eating at a restaurant the bill for your table is $62.50. There is a 6% sales tax and you want to leave a tip for 18% based on the pre-tax amount. How much money do you need to cover your final bill?

Answers

Answer:

Step-by-step explanation:

Your bill is $62.50

$62.50 * .06 = $3.75 (this is your sales tax added)

So your total is up to: $66.25

Adding the tip the same way using $66.25 *.18 = $11.93

Tip would be $11.93

Total coming to: $78.17

hope this helps

Answer:

$77.50

Step-by-step explanation:

Tax:

62.50x0.06= 3.75

3.75+62.50= 66.25

Tip:

62.50x0.18= 11.25

Answer:

66.25+11.25= 77.50

solve for w and simplify this fraction 3/2w=-20 ​

Answers

Answer:

4 2/3

Step-by-step explanation:

Answer:

w = -1.3 (.3 repeating)

Step-by-step explanation:

3/2w = -20

3/2w time 2/3 (flip to get rid of fraction)

- 20 time 2/3 (what you do to one side, you must do to the other side)

w = 1.3 (.3 repeating)

1.3 as a fraction is 4/3

Help please? Will mark correct and first answer as brainliest!! : )

Answers

Answer:

It Is O. 8

Step-by-step explanation:

Because you are suppose to round the number to the one in front of the other number

83/100 83%

.......................

five hundred fifty five divided in five

Answers

Answer:

Well I'm not sure if its a joke but here is the answer anyways LOL Its 111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

If you think about it, 5 ÷ 5 = 1

So all the digits are 1

111

(Plus I just used a calculator)

Hope I helped :)

PLEASE ANSWER!! TIME LIMITED!! Use the gfc and the distributive property to find the expression that is equivalent to 36 + 48

A. 6(6+8)

B. 4(9+12)

C. 12(3+4)

D. 2(18+24)

Answers

C
Explanation: The gfc that can fit into both numbers

Write the inequality for each sentence
The difference of a number and six is no less than 15
25 plus a number is at least 13
g decreased by 25 is at most five

Answers

Answer:

a) The difference of a number and six is no less than 15

x - 6 ≥ 15

b) 25 plus a number is at least 13

25 + x ≥ 13

c) g decreased by 25 is at most five

g - 25 ≤ 5

Step-by-step explanation:

a) The difference of a number and six is no less than 15

Let the number be represented by x

We difference is involved in a mathematics question, it requires the application of Subtraction operation, hence:

x - 6 ≥ 15

b) 25 plus a number is at least 13

Let the unknown number be represented by x

When at least is used in Mathematics, is means greater than or equal to a particular value,

Hence,

25 + x ≥ 13

c) g decreased by 25 is at most five

At most means less than or equal to a particular value, hence:

g - 25 ≤ 5

Which of the number(s) below are potential roots of the function? q(x) = 6x3 + 19x2 – 15x – 28

Answers

Answer:

±2/3, ±7/2, ±14

Step-by-step explanation:

edge:) 2020

Answer: ±2/3, ±7/2, ±14

Step-by-step explanation: edge 2020

Which of the following describe 4/8

Answers

Answer:

4/8 is one half.

Step-by-step explanation:

4/8 -- 4 goes into both the numerator and denominator -- 4 goes into 4 one time and 4 goes into 8 two times.

Therefore, you have 1/2.

Answer:

4/8=.5 or 1/2

Step-by-step explanation:

4/8 can be reduced to 1/2

FIND THE QUADRATIC FUNCTION DETERMINED BY EACH TABLE
X -2 -1 0 1 2 3
Y 4 0 -2 -2 0 4

Answers

Answer:

x² - x - 2 = 0

Step-by-step explanation:

plotting the graph of x and y,we have that the root of the equation is -1 or 2

x = -1 or 2

the eqn therefore is;

x² - (sum of the root)x + (product of the root) =. 0

x² - (-1+2)x + (-1*2) = 0

x² - x - 2 = 0

Applying the Factor Theorem, it is found that the quadratic function is:

[tex]p(x) = x^2 - x - 2[/tex]

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

The Factor Theorem states that if a polynomial [tex]p(x)[/tex] has roots [tex]x_1, x_2, ..., x_n[/tex], it is described by the following equation:

[tex]p(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]

In which a is the leading coefficient.

For this quadratic function, the roots are [tex]x_1 = -1, x_2 = 2[/tex], as [tex]y(-1) = y(2) = 0[/tex], thus:

[tex]p(x) = a(x - (-1))(x - 2)[/tex]

[tex]p(x) = a(x + 1)(x - 2)[/tex]

[tex]p(x) = a(x^2 - x - 2)[/tex]

When x = 0, p(x) = -2, and we use this to find a.

[tex]p(x) = a(x^2 - x - 2)[/tex]

[tex]-2 = a(0^2 - 0 - 2)[/tex]

[tex]2a = 2[/tex]

[tex]a = \frac{2}{2}[/tex]

[tex]a = 1[/tex]

Thus, the quadratic function is:

[tex]p(x) = x^2 - x - 2[/tex]

A similar problem is given at https://brainly.com/question/24380382

John want to move from point A to point B. To avoid the pond he must walk 36 m south and 49 m east. However he wants to go through the pond in order to save time. To the nearest meter calculate how many meters would be saved if John rows a boat across the pond?

Answers

Answer:

60.80

Step-by-step explanation:

What is 0.74 + (-3/5)

Answers

The answer is 0.14!!!

Answer:

It equals 0.14

Step-by-step explanation:

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