HELP ASAP!!


1. Consider the sequence
4, -12, 36, -108

Part A: Identify whether the function is an arithmetic sequence or a geometric
sequence and justify your answer.

Part B: Write an explicit formula that could be used to find any term in the
sequence.

Part C: Write a recursive formula for the sequence.

Part D: What is the 9th term in the sequence?

Answers

Answer 1

Answer:

[tex] \underline{\boxed{Part \: A}}: \\ \: \\the \: function \: is \: a \: \boxed{ geometric \: sequence} \\ \\ \underline{\boxed{Part \: B}}: \\\boxed{T_n = a( {r})^{(n - 1)}} \\ \\ \underline{\boxed{Part \: C}}: \\ \boxed{T_4 = T_3( { - 3})^{(1)}} \\ \\ \underline{\boxed{Part \: D}}: \\ \boxed{ T_9 = 26,244}[/tex]

Step-by-step explanation:

[tex] \underline{\boxed{Part \: A}}: \\ \: \\the \: function \: is \: a \: \boxed{ geometric \: sequence} \\ this \: due \: to \: their \: common \: ratio (r)= \boxed{- 3} \\ \\ \underline{\boxed{Part \: B}}: \\ \\ let \: the \: required \: term \: be \to \: T_n \\ let \: the \: first \: term \: be \to \: a \\ let \: the \:common \: ratio \: be \to \: r \\ hence : \boxed{T_n = a( {r})^{(n - 1)}} \\ where \: n \: is \: the \: number \: of \: term. \\ \\ \underline{\boxed{Part \: C}}: \\ let \: the \: required \: term \: be \to \: T_4 \\ hence : \boxed{T_4 = T_3( { - 3})^{(1)}} \\ \\ \underline{\boxed{Part \: D}}: \\if \: a = 4 : r = ( - 3) : n = 9 \\ hence : \boxed{T_9 = 4( { - 3})^{(9 - 1)}} \\ hence : \boxed{T_9 = 4( { - 3})^{(8)}} \\T_9 = 4( 6,561) \\ \boxed{ T_9 = 26,244}[/tex]


Related Questions

please help and explain ​

Answers

Answer:

Step-by-step explanation:

Fraction of surveyed women who voted for football = 25/72

Percentage = [tex]\frac{25}{72}*100 = \frac{25}{18}*25[/tex]

                  [tex]=\frac{625}{18} = 34.72[/tex]

                  = 35%

can anyone tell me the answer for b

Answers

Answer:

88....................

Answer:

88 people

Hope it helps!!!!

write down the rational number
whose numerator = 8 , denominator = 9​

Answers

Answer:

8/9

Step-by-step explanation:

8 numerator

______________

9 denominator

Express the product of (2x+5/2) and (x-1) as a trinomial in simplest form

Answers

Answer:

[tex]\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsExpand by FOIL (First Outside Inside Last)

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle (2x + \frac{5}{2})(x - 1)[/tex]

Step 2: Expand

[Trinomial] FOIL:                                                                                             [tex]\displaystyle 2x^2 - 2x + \frac{5}{2}x - \frac{5}{2}[/tex][Trinomial] Combine like terms:                                                                     [tex]\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}[/tex]

John has $5.05 in quarters and nickels in his pocket. If John only has 25 coins in his pocket, how many of the coins are quarters?

Answers

Answer:

Step-by-step explanation:

q+n=25

n=25-q

25q+5n=505, using n=25-q in this equation gives you

25q+5(25-q)=505

25q+125-5q=505

20q+125=505

20q=380

q=19

So 19 of the coins are quarters.

Answer:

John has 19 quarters out of 25 coins.

Step-by-step explanation:


Which is true about the position of A on the number line?

A. It is less than -1
B. It is greater than 0
C. It is less than -8/3
D. It is greater than 3/4 ​

Answers

Answer:
I think the answer is D

A group of workers can plant 2/5 acres in days.3/4 What is the unit rate in acres per day?

Answers

Answer:

8/15

Step-by-step explanation:

Unit rate is 8 / 15 acres per day.

What is work?

"Work is defined as when force is applied on an object and it gets move in particular direction."

According to the question,

Group of workers plant  2/ 5 acres  in 3 /4 days

3 / 4 days = 2/ 5 acres

1 day =  [tex]\frac{2}{5}[/tex] × [tex]\frac{4}{3}[/tex]

⇒ 1 day = 8 / 15 acres

Hence, Unit rate is 8 / 15 acres per day.

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Lets see if you practiced your division..5,316/3= .Use any place value strategy to divide

Answers

1,787 is the correct answer

Renee bought 6 tickets to a football game. She paid a total of $216. Write an equation to represent the situation

Answers

Answer:

6 × 36 = 216

Step-by-step explanation:

one ticket price: 216 ÷ 6 = $36

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proofs.

Given: Points R, S, T, Q on circle O



Prove: mRS + mST + mTQ = mRQ

Answers

Answer:

Match the number of statement with the same number of reasons.

Step-by-step explanation:

Here are the statements

1.

Points R, S, T, Q on circle O

2.

measure of RS+ST=RT

measure of RT+TQ=RQ

3.RS+ST+TQ=RQ

Here are the reasons

1.Given

2. Arc Addition

3. Subsitution

help guys I would appreciate ​

Answers

Answer:

4 + 8

12 >= 12

TRUE

Becuase 12 equals 12

Step-by-step explanation:

Which graph shows the relationship between the number of tigers and the total number of square feet of space?

Answers

Answer:

Graph A shows the relationship between the number of tigers and the total number of square feet of space as expressed in the equation.

Step-by-step explanation:

Answer: Graph A shows the relationship between the number of tigers and the total number of square feet of space and here is my proof.

Step-by-step explanation: square feet is supposed to be in the thousands and graph A is one of the only ones that show that. Also the number of tigers are ofc single numbers so that makes the numbers below 1,2,3,4, and 5 and the numbers for square feet are 1,000, 2,000, 3,000, 4,000, and 5,000. For more proof the pictures below explain the answer.

in a bag of marbles 4 are
blue. 5 are white, and 11 are
red. What is the probability of
NOT drawing a red?

Answers

Answer:

3/4 or a 75%

Step-by-step explanation:

Solve for X. assume that lines Which appear tangent are tangent.

Answers

Answer:

x = 4, x = 8

Step-by-step explanation:

(9)

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

x(x + 6) = 5(5 + 3)

x² + 6x = 5 × 8 = 40 ( subtract 40 from both sides )

x² + 6x - 40 = 0 ← in standard form

(x + 10)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 10 = 0 ⇒ x = - 10

x - 4 = 0 ⇒ x = 4

x > 0 then x = 4

(11)

Given a secant and a tangent from an external point to the circle, then

The square of the tangent is equal to the product of the external part and the whole of the secant, that is

x(x + 10) = 12²

x² + 10x = 144 ( subtract 144 from both sides )

x² + 10x - 144 = 0 ← in standard form

(x + 18)(x - 8) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 18 = 0 ⇒ x = - 18

x - 8 = 0 ⇒ x = 8

x > 0 then x = 8

A school hall costs £200 to hire.
Parents get a 10% discount.
30 parents share the cost equally.
How much does each parent pay

Answers

Answer:

£6

Step-by-step explanation:

The computation of the each parent pay is shown below;

But before that the cost of hall after considering the discount is

= £200 - 10% of £200

= £200 - £20

= £180

Now there are 30 parents

So each parent pay is

= £180 ÷ 30 parents

= £6

Can someone help me find the gradient for this graph ​

Answers

The line passes through points (0,0) and (7,4)

Gradient = (y2-y1)/(x2-x1) = (4-0)/(7-0) = 4/7

I don't know why I keep getting 93 ft but it says it's wrong...
Find the perimeter of the figure.

Answers

Answer:

Your answer is 84.

9+9+9+9+9+9 (9x6) +30. 9x6 is 54 so then, you'd have to do 54+30 to get 84.

~Sophia

Answer:

96 ft

Step-by-step explanation:

9 + 9 + 9 + 9 + 12 + 9 + 9 + 30 = 96 ft

IM RELLY DONE I DONT UNDERSTAND THIS
And answer is not (-5.-2) e.t.c
PLS HELP​

Answers

Answer: -5, 1: -5, 2: -8, 1

Step-by-step explanation: Just flip it on the other side

Answer:

(2,5)

(1,5)

(1,8)

Step-by-step explanation:

The reflection line y = x does the following to the coordinates:

(x , y) --> (y , x)

The coordinates swap places.

(5,2)  --> (2,5)

(5,1)   --> (1,5)

(8,1)   --> (1,8)

Two times the smaller of two consecutive even integers is 18 more than the larger.

Answers

Answer:

2x = x+1 + 18

---

x = 19

-----------

x+1 = 20

Step-by-step explanation:

The smaller of the two consecutive even integers is 20, and the larger is 22.

What is a number system?

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols.

Let's call the smaller of the two consecutive even integers "x".

Since the integers are consecutive and even, we know that the larger integer must be 2 more than the smaller integer. Therefore, we can represent the larger integer as "x + 2".

According to the problem statement, two times the smaller integer (2x) is 18 more than the larger integer (x + 2). We can express this algebraically as:

2x = x + 2 + 18

Simplifying this equation, we can combine like terms on the right-hand side:

2x = x + 20

Subtracting x from both sides, we get:

x = 20

Therefore, the smaller of the two consecutive even integers is 20, and the larger is 22 (since 20 + 2 = 22).

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k+ 6 ≥ 19, if k = 11

Answers

Answer:

Then it would be the other way around 19 ≥ k + 6

Wait for more responses if needed.

The given Inequality is correct when 19 ≥ k + 6.

What is inequality?

Inequality compares "two values, showing if one is less than, greater than, or simply not equal to another one".

Given k + 6 ≥ 19 if k = 11

11 + 6 ≥ 19  substitute k = 11

17 ≥ 19 here Inequality is False.

Hence, 19 ≥ k + 6.

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Adam and Katy both receive a bonus.
Adam receives 30% of £80
Katy receives £28
Work out the difference between the bonus Adam gets and the bonus Katy gets.​

Answers

Step-by-step explanation:

Adam's bonus

30/100= 0.3

0.3 *80=24

therefore Adam's bonus is £24

since Katy bonus is £28

The difference between the bonus Adam gets and the bonus Katy gets

£28 -£24 =£4

The camping trip costs $165. How long will it take you to save enough money?

25 Points I guess.

Answers

Answer:

11 weeks

Step-by-step explanation:

$165 / 15 = 11 weeks

11 weeks

Hope that helps!

The equation of line is given by y = 15x and the number of weeks to save enough money is 11 weeks

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the number of weeks be x

Let the cost of trip be y

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 4 , 60 )

Let the second point be Q ( 8 , 120 )

Now , the slope of the line between the two points is

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 120 - 60 ) / ( 8 - 4 )

On simplifying the equation , we get

Slope m = 60 / 4

Slope m = 15

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 60 = 15 ( x - 4 )

On simplifying the equation , we get

y - 60 = 15x - 60

Adding 60 on both sides of the equation , we get

y = 15x

Now , the cost of the camping trip is $ 165

Substitute the value of y = 165 , we get

165 = 15x

Divide by 15 on both sides of the equation , we get

x = 165/15

x = 11 weeks

Therefore , the value of x is 11 weeks

Hence , the equation is y = 15x

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Which scenario is best represented by a linear function?
A
The area of a square, A, where the length of each side of the square is represented by
S (A= s?)
The perimeter of a square, P, where the length of each side of the square is
B represented by s
(P = 4s)
The surface area of a cube, A, where the length of each side of the cube is
C represented by s
(A = 6s )
The volume of a cube, V, where the length of each side of the cube is represented by
s(V = $)​

Answers

Answer:

P=6s

Step-by-step explanation:

to understand thisyou need to know about:linear functiontips and formulas:a linear function is function with two variables one dependent another one is independentlet's solve:

since we can see what linear function is

the second condition is the best fit

The perimeter of a square, P, where the length of each side of the square is B represented by s(P = 4s)

therefore

our answer is b

Please help and explain

Answers

Answer:

Possible b that what I thank it is

Step-by-step explanation:

If the diameter of a circular pool is 15 ft, then what is the radius of the pool?
answer choices :
30 ft
15 ft
7.5 ft
5 ft

Answers

7.5 because the radius is half the diameter

Prove that 3 + 2√5 is irrational

Answers

Answer:

A rational number is any integer, fraction, terminating decimal, or repeating decimal. The square root is not rational.

good luck, i hope this helps :)

Right triangle XYZ is shown. Y (2,6) (1, 2) 6 х 7 Z Rounded to the nearest hundredth of a unit, what is the length of the hypotenuse?

PLEASE HELP ASK ​

Answers

Answer:

8.12

Step-by-step explanation:

We obtain the distance between x and y

d = sqrt[(x2 - x1)² + (y2 - y1)²]

d = sqrt[(1 - 2)² + (2 - 6)²]

d = sqrt[1 + 16)

d = sqrt(17)

d² = 17

From Pythagoras rule;

Hypotenus = sqrt(Adjacent² + opposite²)

Hence,

Hypotenus = sqrt(17 + 7²)

Hypotenus = sqrt(17+ 49)

Hypotenus = sqrt(66)

Hypotenus = 8.124

Hypotenus = 8.12

Write a summary of how to get the area of a parallelogram.

Answers

Answer:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

I hope it's helpful!

Are You Ready For More?

A loaf of bread is cut into slices.

1. If each slice is 1/2 of a loaf, how many slices are there?

:

2. If each slice is 1/5 of a loaf, how many slices are there?

:

3. What happens to the number of slices as each slice gets smaller?

:

Answers

1. There would be 2 slices as the denominator is 2.

2. There would be 5 slices as the denominator is 5.

3. As each slice gets smaller, the denominator gets bigger, because the bigger the denominator is, the more pieces it needs to make a whole.

Hope this helps :)

There are 2 pieces if each slice is 1/2 of a loaf, and 5 pieces if each slice is 1/5 of a loaf, and the total number of pieces get increases if each slice gets smaller.

What are fractions on number lines?

When fractions are represented on a number line, we can plot them on a number line just like we can with whole numbers and integers. Parts of a whole are represented by fractions. In order to depict fractions on a number line, equal pieces of a whole are divided.

Given A loaf of bread is cut into slices.

1. If each slice is 1/2 of a loaf, how many slices are there,

here slices are  1/2 of the loaf so the loaf is divided into two equal parts,

1/2 + 1/2 = 1

2. If each slice is 1/5 of a loaf, how many slices are there,

here loaf has 5 equal parts,

1/5 + 1/5 + 1/5 +1/5 + 1/5 = 1 loaf

3. What happens to the number of slices as each slice gets smaller?

the value of the denominator in fraction goes on increasing and since the value is increasing the number of slices also gets increases.

Hence there are 2 pieces for 1/2 of the loaf,

5 pieces for 1/5 of the loaf,

and the number of slices increases when each slice gets smaller.

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Write the equation of the line that passes through the points (-6,-6) and (-2,-4) help

Answers

Answer:

y=1/2x-3

Step-by-step explanation:

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