5
The recursive formula for a geometric sequence is given below. What is the third term in the sequence?
f(1) = 2
f(n) = 3f(n − 1)
-
OA. 18
OB. 54
OC. 162
OD. 12
Reset
Submit

Answers

Answer 1
f(1) = 2
f(2) = 3f(1) = 3(2) = 6
f(3) = 3f(2) = 3(6) = 18 (A)
Answer 2

[tex]\Large{ \boxed{ \tt{ \blue{A}}}}\Large{ \boxed{ \tt{ \pink{N}}}}\Large{ \boxed{ \tt{ \green{S}}}}\Large{ \boxed{ \tt{ \purple{W}}}}\Large{ \boxed{ \tt{ \red{E}}}}\Large{ \boxed{ \tt{ \pink{R}}}}[/tex]

[tex] \: \: [/tex]

A. 18

[tex] \: \: [/tex]

[tex]\Large{ \boxed{ \tt{ \blue{S}}}}\Large{ \boxed{ \tt{ \pink{O}}}}\Large{ \boxed{ \tt{ \green{L}}}}\Large{ \boxed{ \tt{ \purple{U}}}}\Large{ \boxed{ \tt{ \red{T}}}}\Large{ \boxed{ \tt{ \pink{I}}}}\Large{ \boxed{ \tt{ \blue{O}}}}\Large{ \boxed{ \tt{ \pink{N}}}}[/tex]

[tex] \: \: [/tex]

[tex] \mathtt{f(1) = 2}[/tex][tex] \tt{f(2) \: = \: 3f \: (1) \: = \: 3(2) \: = \: 6}[/tex][tex] \tt{f(3) \: = \: 3f(2) \: = \: 3(6) \: = \: 18}[/tex]

[tex]\color{pink}─────────────────────────────────────[/tex]

keep learning


Related Questions

What is the present value of a cash inflow of 1250 four years from now if the required rate of
return is 8% (Rounded to 2 decimal places)?

Answers

Using simple interest, it is found that the present value of the cash inflow is of 947.

Simple Interest

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

A(0) is the initial amount.r is the interest rate, as a decimal.

In this problem, the parameters are given as follows:

r = 0.08, t = 4, A(t) = 1250.

We have to solve for A(0) to find the present value, hence:

A(t) = A(0)(1 + rt)

1250 = A(0)(1 + 0.08 x 4)

A(0) = 1250/1.32

A(0) = 947.

More can be learned about simple interest at https://brainly.com/question/25296782

#SPJ1

(h+k)(1) is
(k-h)(4) is
(k/h)(3) is
(h•k)(0) is
(k •h)(0) is
(h•k)(3) is
h(k(-2))

Answers

Answer:

Step-by-step explanation:

(h+k)(1)=h(1)+k(1)=2+(-1)=2-1=1

(k-h)(4)=k(4)-h(4)=0-(-1)=1

(k/h)(3)[tex]=\frac{k(3)}{h(3)} =\frac{-1}{0} =- \infty[/tex]

(h.k)(0)=h(0).k(0)=3(-2)=-6

(k.h)(0)=k(0).h(0)=-2(3)=-6

(h.k)(3)=h(3).k(3)=0(-1)=0

h(k(-2))=h(-3)=0

Which statement is true about the end behavior of the graphed function?

Answers

Step-by-step explanation:

both ends are going to the same direction so the degree is even. the right side is going up so the leading coefficient is positive.

What is the length of BC¯¯¯¯¯?

Answers

Answer:

meight you gotta do better then that

Step-by-step explanation:

a picture is probably necessary

Identify the category to which the following statement belongs: Brandon has two weeks to decide on the topic of his research paper.
O Not important - Not Urgent
O Not Important - Urgent
O Important - Not Urgent
O Important-Urgent

Answers

Answer:

Important- not urgent

Step-by-step explanation:

The research paper is important but since Brandon has two weeks to decide it is not urgent.

Help please I need asap

Answers

Answer: -120

Step-by-step explanation:

[tex]2\sum^{4}_{p=1} (p^{2}-9p)=2[(1^{2}-9(1))+(2^{2}-9(2))+(3^{2}-9(3))+(4^{2}-9(4))]=\boxed{-120}[/tex]

The table below shows the amount of money spent on skin diving and scuba equipment in some recent years.
Skin Diving and Scuba Equipment

Year
Sales ($millions)
1993
315
1994
322
1995
328
1996
340
1998
345
1999
363

Let x represent the year and y represent the amount of sales, in millions of dollars, in the regression equation.
y = 7.36 x minus 14,354.33,
Use the regression equation to predict the sales of skin diving and scuba equipment in the year 2008.
a.
44,000,000
b.
440,000,000
c.
42,455,000
d.
424,550,000



Please select the best answer from the choices provided


A
B
C
D
Mark this and return

Answers

The sales of skin diving and scuba equipment in the year 2008 is (d) 424,550,000

How to predict the sales in 2008?

The regression equation is given as;

y = 7.36x - 14,354.33

In 2008, the value of x is

x = 2008

So, we have:

y = 7.36 * 2008 - 14,354.33

Evaluate

y = 424.55

Hence, the sales of skin diving and scuba equipment in the year 2008 is (d) 424,550,000

Read more about regression equations at:

https://brainly.com/question/25987747

#SPJ1

The sales of skin diving and scuba equipment in the year 2008 is (d) 424,550,000.

We have given that,

The table below shows the amount of money spent on skin diving and scuba equipment in some recent years.

How to predict the sales in 2008?

The regression equation is given as

y = 7.36x - 14,354.33

In 2008, the value of x is

x = 2008

So, we have y = 7.36 * 2008 - 14,354.33

Evaluate y = 424.55

Hence, the sales of skin diving and scuba equipment in the year 2008 is (d) 424,550,000

Read more about regression equations at:

brainly.com/question/25987747

#SPJ1

find the roots of x^4-1=0​

Answers

Answer:

x = +1

x = -1

Step-by-step explanation:

x^4-1=0​

x^4=+1​

fourth root of x^4= fourth root of +1​

x = +1

x = -1


A hose fills a hot tub at a rate of 5.2 gallons per minute. How many minutes will it take to fill a 600 gallon hot tub? (nearest tenth)

Answers

Answer:

115.38 is what I got when I tryed to work it out

What is true of an equilateral triangle? Two of its side lengths are equal. All its side lengths are equal. None of its side lengths are equal. None of its interior angles are equal. What is true of an equilateral triangle ? Two of its side lengths are equal . All its side lengths are equal . None of its side lengths are equal . None of its interior angles are equal .​

Answers

Answer:

All its side lengths are equal

(and all the agle of 60°)

Step-by-step explanation:

What is true of an equilateral triangle? Two of its side lengths are equal. All its side lengths are equal. None of its side lengths are equal. None of its interior angles are equal. What is true of an equilateral triangle ? Two of its side lengths are equal . All its side lengths are equal . None of its side lengths are equal . None of its interior angles are equal .​

Line l passes through point (−2,37) and line p is the graph of y+3=−5(x+4) .

If l is parallel to p what is the equation of l ?

Answers

The slope of line p is -5, so substitute into point-slope form, we get

[tex]\boxed{y-37=-5(x+2)}[/tex]

A manufacturer of pacemakers wants the standard deviation of the lifetimes of the batteries to be less than 1.8 months. A sample of 20 batteries had a standard deviation of 1.6 months. Assume the variable is normally distributed. Find the 95% confidence interval of the standard deviation of the batteries. Based on this answer, do you feel that 1.8 months is a reasonable estimate?

Answers

Answer:

Look down my answer↓:

Step-by-step explanation:


The rectangular prism has a vertex at (5, 6, 2). Which
ordered triples represent other vertices of the prism?
Check all that apply.
(0, 0, 2)
(0, 5,6)
(2,0, 5)
(5, 0, 2)
(5, 6, 0)
(6,2,0)

Answers

Answer:

A, D, E

Explanation:

It's right on edge lol

Which pair of statements describes the end behavior of the graph of the function f(x) = x3 + 2x2 − 5x − 6?

Answers

A function assigns the values. The correct option is D.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.


The complete question is:

Which pair of statements describe the end behavior of the graph of the function f(x) = x³ + 2x² − 5x − 6?

A.) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches infinity.

B.) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches negative infinity.

C.) As x approaches negative infinity, f(x) approaches negative infinity. As x approaches infinity, f(x) approaches negative infinity.

D.) As x approaches negative infinity, f(x) approaches negative infinity. As x approaches infinity, f(x) approaches infinity.

If we draw the graph of the given function f(x) = x³ + 2x² − 5x − 6, then it can be observed that as x approaches -∞, f(x) approaches -∞. As x approaches ∞, f(x) approaches infinity.

Hence, the correct option is D.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

1. EL precio a la venta de una impresora de inyección de tinta es de $285.000 incluida una Ganancia del 35%. ¿cuánto le cuesta a la tienda cada impresora?

Answers

Excluyendo el componente de ganancia del coste para el consumidor según (1), la impresora tuvo un coste de $ 211.111,11 para el vendedor.

¿Cómo encontrar el precio de una impresora sin ganancia?

En el enunciado tenemos el precio de una impresora para el consumidor, el cual comprende el dinero invertido por vendedor más la ganancia esperada. Este indicador observa la siguiente fórmula:

C' = C · (1 + r/100)     (1)

Donde:

C - Coste asumido por el vendedor, en unidades monetarias.C' - Coste para el consumidor, en unidades monetarias.r - Tasa de ganancia, en porcentaje.

Si sabemos que C' = $ 285.000 y r = 35 %, entonces el coste asumido por el vendedor es:

285.000 = 1,35 · C'

C' ≈ 211.111,11

Excluyendo el componente de ganancia del coste para el consumidor según (1), la impresora tuvo un coste de $ 211.111,11 para el vendedor.

Para aprender más sobre ganancias: https://brainly.com/question/8421949

#SPJ1

Flying against the wind, an airplane travels 2520 kilometers in 4 hours. Flying with the wind, the same plane travels 9450 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Using the relation between velocity, distance and time, it is found that:

The rate of the plane is of 840 km/h.The rate of the wind is of 210 km/h.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}[t}[/tex]

Flying against the wind, an airplane travels 2520 kilometers in 4 hours, that is:

[tex]v - v_w = \frac{2520}{4}[/tex]

[tex]v - v_w = 630[/tex]

[tex]v = 630 + v_w[/tex]

Flying with the wind, the same plane travels 9450 kilometers in 9 hours, hence:

[tex]v + v_w = \frac{9450}{9}[/tex]

[tex]v + v_w = 1050[/tex]

[tex]v = 1050 - v_w[/tex]

Hence, solving for the wind's speed:

[tex]630 + v_w = 1050 - v_w[/tex]

[tex]2v_w = 420[/tex]

[tex]v_w = \frac{420}{2}[/tex]

[tex]v_w = 210[/tex]

For the plane, we have that:

v = 1050 - 210 = 840.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

#SPJ1

Determine whether it is a function

Answers

Answer:

Relation 3 is not a function, as s has two outputs: tree and desk. Relation 4 is not a function for the same reason. -1 has three outputs: -2, -4, and -7.

What is the value of 6¹?
6° = 1
6 = 6
6 = 36
6 = 216

A.220
B.240
C.864
D.1,296

Answers

Answer: D

Step-by-step explanation:  

6^4 = 6 x 6 x 6 x 6 = 1,296

6^4 = 1,296

Separable differential equation
y’ln^2y+ysqrtx=0 y(0)=e

Answers

By applying the theory of separable ordinary differential equations we conclude that the solution of the differential equation [tex]\frac{dy}{dx} \cdot (\ln y)^{2} + y\cdot \sqrt{x} = 0[/tex] with y(0) = e is [tex]y = e^{\sqrt [3]{-2\cdot x^{\frac{3}{2} }+1}}[/tex].

How to solve separable differential equation

In this question we must separate each variable on each side of the equivalence, integrate each side of the expression and find an explicit expression (y = f(x)) if possible.

[tex]\frac{dy}{dx} \cdot (\ln y)^{2} + y\cdot \sqrt{x} = 0[/tex]

[tex](\ln y)^{2}\,dy = -y \cdot \sqrt{x}\, dx[/tex]

[tex]-\frac{(\ln y)^{2}}{y}\, dy = \sqrt{x} \,dx[/tex]

[tex]-\int {\frac{(\ln y)^{2}}{y} } \, dy = \int {\sqrt{x}} \, dx[/tex]

If u = ㏑ y and du = dy/y, then:

[tex]-\int {u^{2}\,du } = \int {x^{\frac{1}{2} }} \, dx[/tex]

[tex]-\frac{1}{3}\cdot u^{3} = \frac{2\cdot x^{\frac{3}{2} }}{3} + C[/tex]

[tex]u^{3} = -2\cdot x^{\frac{3}{2} } + C[/tex]

[tex](\ln y)^{3} = - 2\cdot x^{\frac{3}{2} } + C[/tex]

[tex]C = (\ln e)^{3}[/tex]

[tex]C = 1[/tex]

And finally we get the explicit expression:

[tex]\ln y = \sqrt [3]{-2\cdot x^{\frac{3}{2} }+ 1}[/tex]

[tex]y = e^{\sqrt [3]{-2\cdot x^{\frac{3}{2} }+1}}[/tex]

By applying the theory of separable ordinary differential equations we conclude that the solution of the differential equation [tex]\frac{dy}{dx} \cdot (\ln y)^{2} + y\cdot \sqrt{x} = 0[/tex] with y(0) = e is [tex]y = e^{\sqrt [3]{-2\cdot x^{\frac{3}{2} }+1}}[/tex].

To learn more on ordinary differential equations: https://brainly.com/question/14620493

#SPJ1


If f(x) = 3x-2 and g(x) = x+²,
find f(g(x)).
f(g(x)) = [?]
Simplify your answer as much as possible.

Answers

Answer:

x

Step-by-step explanation:

[tex]f(g(x)) = 3(\frac{x+2}{3} )-2\\= x + 2 - 2\\= x[/tex]

Need help anyone please!!!

Answers

the picture is blurred

write an exponential expression that shows (10 to the power of 4) to the power of 4 simplified

Answers

Answer: it could be

[tex](10^{4} ) ^{4}[/tex]

Step-by-step explanation:


Need the answer for number 3 please!!!!

Answers

Answer:

Perimeter = 2(l + b)

= 2(x + 5x³ + 4 - x²)

= 2x + 10x³ + 8 - 2x²

= 10x³ - 2x² + 2x + 8

Hence, ur answer is the first option.

Answer:

A.

Step-by-step explanation:

L = x

W = 5x³ + 4 - x²

P = 2L + 2W

P(x) = 2x + 2(5x³ + 4 - x²) = 2x + 10x³ + 8 - 2x²

P(x) 10x³ - 2x² + 2x + 8

L = x

W = 5x³ + 4 - x²

P= 2L + 2W

P(x) = 2x + 2(5x³ + 4 - x²) = 2x + 10x³ + 8 - 2x²

= P(x) 10x³ - 2x² + 2x + 8

P(-4, 6), Q(2, 5), R(3, -1), S(-3, 0)

Use slope to determine whether the following is a parallelogram. Explain why or why not.

Find the slope of PQ
Find the slope of QR
Find the slope of RS
Find the slope of SP
Use this information to determine if the quadrilateral a parallelogram.

Answers

From the slopes it is confirmed that PQ || RS OR|| SP and therefore it is a parallelogram .

What is a Parallelogram ?

A parallelogram is a quadrilateral in which the opposite sides are parallel.

The coordinates of a quadrilateral is given

To prove that it is a parallelogram

PQ || RS

OR|| SP

The slope of a straight line is given by

[tex]\rm m = \dfrac{y_2 -y_1}{x_2- x_1}[/tex]

For PQ

m = (-1/6) = -1/6

For QR

m = -6/1 = -6

For RS

m = 1/(-6) = -1/6

For SP

m = -6

From the slopes it is confirmed that

PQ || RS

OR|| SP

and therefore it is a parallelogram

To know more about Parallelogram

https://brainly.com/question/11220936

#SPJ1

4 Pencils and 2 rulers cost $8. 2 pencils and 4 rulers cost $10. Find the cost of 3 rulers and 3 pencils

Answers

Answer:

$9

Step-by-step explanation:

Let, the price of pencils is x, and the price of rulers is y.

4x+2y=8.....(i)

2x+4y=10......(ii)

From eq(i),

2(2x+y)=8

2x+y=4

y=4-2x eq(iii)  .....put in eq(ii)

2x+4(4-2x)=10

2x+16-8x=10

-6x=10-16

x=-6/-6

x=1 put in eq (iii)

y=4-2(1)

y=2

Now, the price of 3 rulers and 3 pencils = 3x+3y=3(1)+3(2)

=9

Please give me brainlist.

We can convert the statements into quadratic equations, which is not a big thing. In simple words, the equation which includes 2 unknowns. We can sustitute with x & y for the simplicity.

Let assume the price of pencil is x and the price of rulers is y. While doing the operations we can remove the units which is $ (for price).


So now we can rewrite the first statement as 4x + 2y = 8.
As everything is dividant of 2, I'm simplifying the eqution by dividing everything by 2.

So, 2x + y = 4 ----(1)

Similarly the second statement is, 2x+4y = 10.

So, 2x + 4y = 10 ----(2).

To solve this we need to make any of the variable (either x or y) zero. We can do that in multiple ways, Here I am trying to make the x =0 by substrating equation 1 from equation 2.

2x + 4y = 10 -
2x + y = 4
___________

-0 + 3y = 6

3y = 6

So y= 6/3=2

Now we have the value of y, to find x apply it in any eqution that has x

I'm applying it in eqution 2

2x + 2 = 4
2x = 2
x=1

Now we want to value the cost of 3 rulers and 3 pencils

3x + 3y = 3(1) + 3(2) = 3 + 6 = 9

So

Solve the system of equations by graphing.

y = x − 6
3x − 3y = 18

Answers

Solving the equation,

X = 6

Y = (-6)

Identifying Proportional Relationships


Which graph represents a proportional relationship?

Answers

Answer:

I can't answer this if you don't have the answer choices

I'm sorry

Analyze the conditional statement below and complete the instructions that follow.
If an angle measures 90°, then it is a right angle.
Identify ~q.
O An angle does not have measure 90°.
OIt is not a right angle.
An angle measures 90°.
OIt is a right angle.

Answers

Answer: It is not a right angle.

Use the calculator to graph the function y = 2x2 25x + 3. What are the coordinates of the turning point of the graph to the nearest hundredth?

Vertex = (
,
)

Answers

The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

In this problem, the function is given by:

y = 2x² + 25x + 3.

Hence the coefficients are a = 2, b = 25, c = 3, then the coordinates of the vertex are given as follows:

[tex]x_v = -\frac{25}{2(2)} = -6.25[/tex][tex]y_v = -\frac{25^2 - 4(2)(3)}{4(2)} = -75.13[/tex]

The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).

More can be learned about the quadratic functions at https://brainly.com/question/24737967

#SPJ1

Answer:

6.25, -75.13

Step-by-step explanation:

it just is

The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 15000.

(a) Find a function that models the population
t
years after 2000 (
t
=
0
for 2000).
Your answer is
P
(
t
)
=




(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer must be an integer)

Answers

There are 25773 foxes in the region in the year 2008

How to determine the function?

The given parameters are:

Initial value, a = 15000Rate, r = 7% or 0.07

Let the number of years after 2000 be x.

So, the function is

f(x) = a * (1 + r)^x

This gives

f(x) = 15000 * (1 + 0.07)^x

In 2008, we have:

x = 8

So, the equation becomes

f(8) = 15000 * (1 + 0.07)^8

Evaluate

f(8) = 25773

Hence, there are 25773 foxes in the region in the year 2008

Read more about exponential functions at:

https://brainly.com/question/2456547

#SPJ1

Other Questions
find the highest number of student of whom 125 apples, 150 oranges and 225 mangoes can be divided equally 15. Read the lines of verse.For thy sweet love remembered such wealth bringsThat then I scorn to change my state with kings.In Sonnet 29 by William Shakespeare, these last two lines of the sonnet represent the sonnet'squatrainlambic footstanzacouplet Hey, any help would be very needed thanks so much!! how does tax help to stabilise the prices of products the _________________ increased understanding of women and their relationship with crime through the inclusion of gender in research. could someone please help me with this The _______ is a medical advance that helps people with diabetes maintain normal blood sugar levels. which of following is true about sexual reproduction? During a class discussion, Tamika presents complex information on the topic. Charlotte believes she understands the information but wants to make sure her understanding is correct.Which action should Charlotte take? Use the graph to Write an equation of the line(3,165)(1,55) Mount erebus, an active volcano, is located __________. how can you determine the relative ages of the moon's maria and highlands? (select all that apply.) ASAP ASAPWhich of the following is an example of Genetic Engineering?A. Mating the most productive plants together so their offspring will have a high yield.B. Altering the DNA of yeast to create vaccines.C. Raising pure breeds of dogs.D. Altering the chemical structure of alloys to create better characteristics. How many atoms are present in 2.1 moles of Fe B.Basketball BluesDanny and Marlon took turns out at the court practicing their free throw. Usually,Danny sunk his free throw shots with no trouble, but something was off today. He hadnot made a single shot. Marlon was on fire though. He made every single free throw shotfrom the line. Coach Lito noticed and came to talk to Danny. "If you adjust your feet," hesaid, "your shot will go straight." To Danny's surprise he made the rest of his free throws!!ProblemSolution The account balance of each of three children at the end of a month is shown below:Daniel has $1.25Libby has $2.00Sandra has as much savings in her account as the amount Daniel owes the bank.Part A: On a blank paper, draw a number line from 4 to +4. Plot points on the number line to show the account balances of the three children. Label the points using the name of each child. Describe in detail how you created and labeled this number line, and what it looks like in detail. (5 points)Part B: Determine whether Daniel or Libby owes the bank more. Use absolute values and inequalities to write statements that justify your conclusion. (5 points) The underlined sentence is- A. a piece of evidence for the texts argument B. The thesis statement for the textC. A piece of reasoning in the textD. The conclusion of the text __________________________It connects ideas in the text by- A. Relating a fact or story that demonstrates the texts argument B. Making the main claim of the textC. Suggesting how a specific example relates to the broader argument D. Describing why the information provided matters to the readers Can somebody please answer asap for brainlist and correct answer? What is drug use and state 5 reasons why people abuse drugs Solve for x. Round to the nearest hundredth sin x 0.965926how do u do a problem like this?