what is the explicit formula for this sequence -1,4,-16,64

What Is The Explicit Formula For This Sequence -1,4,-16,64

Answers

Answer 1

Answer:

The answer is c.

Step-by-step explanation:

[tex]a_{1} =-1*(-4)x^{n-1}[/tex]

[tex]a_{1} =-1(-4)^{1-1}[/tex]

[tex]a_{1} =-1(-4)^{2} \\a_{1} =-1(1)\\a_{1} =-1[/tex][tex]a_{2} =-1(-4)^{2-1} \\a_{2} =-1(-4)^{1} \\a_{2} =-1(-4)\\a_{2}=4[/tex][tex]a_{3}=-1(-4)^{3-1} \\a_{3}=-1(-4)^{2} \\a_{3}=-1(16)\\a_{3}=-16[/tex]


Related Questions

Help someone please!! Ty

Answers

Answer:

Option (B)

Step-by-step explanation:

Let the five distinct positive integers are a, b, c, d, e.

Average of these five integers is 20.

[tex]\frac{a+b+c+d+e}{5}=20[/tex]

a + b + c + d + e = 100

If these integers are in the increasing order,

Median of these integers 'c' = 12

If the sum of d and e is the largest then the sum of a and b will be the smallest.

Therefore, the smallest positive integers a and b will be,

a = 1 and b = 2

1 + 2 + 12 + d + e = 100

15 + d + e = 100

d + e = 100 - 15

d + e = 85

Since d will be greater than the median c,

d > c

d > 12

For the largest value of integer 'e', value of 'd' will be minimum.

The least value of d will be = 13

Then, 13 + e = 85

e = 85 - 13

e = 72

{a, b, c, d, e} = {1, 2, 12, 13, 72}

Therefore, the largest possible number is this set will be 72.

Option (B) will be the answer.

What is the solution to this system of linear equations? 2x + y = 1 and 3x - y = -6

Answers

Answer:

(- 1, 3 )

Step-by-step explanation:

Given the 2 equations

2x + y = 1 → (1)

3x - y = - 6 → (2)

Adding the 2 equations term by term eliminates the y- term, that is

5x = - 5 ( divide both sides by 5 )

x = - 1

Substitute x = - 1 into either of the 2 equations and evaluate for y

Substituting into (1)

2(- 1) + y = 1

- 2 + y = 1 ( add 2 to both sides )

y = 3

Solution is (- 1, 3 )

Answer: (-1,-3) or A on the quiz

Got it right

Have a nice day

Solve for x. Write both solutions, separated by a comma. 8x^2+7x-1=0

Answers

Answer:

x = 1/8 , - 1

Step-by-step explanation:

8x² + 7x - 1 = 0

Rewrite 7x as a difference

That's

8x² + 8x - x - 1 = 0

Factorize

8x( x + 1) - ( x + 1) = 0

(8x - 1)( x + 1) = 0

8x - 1 = 0 x + 1 =0

8x = 1 x = - 1

x = 1/8

The solutions are

x = 1/8 , - 1

Hope this helps you

Quadrilateral rust has a vertex (2,4). What are the coordinates of r' after a dilation of scale factor 3, centered at the origin, followed by translation (x,y) to (x+4,y)

Answers

Answer:

The coordinates of r' are x = 10 and y = 12.

Step-by-step explanation:

The vertex experiments two operations: Dilation and translation, whose definitions are presented herein:

Dilation with respect to origin

[tex](x',y') = (0,0) + 3\cdot (x,y)[/tex], [tex]\forall \,x,y \in \mathbb{R}[/tex]

Translation

[tex](x',y') =(x+4,y)[/tex], [tex]\forall\,x,y\in \mathbb{R}[/tex]

If [tex]x = 2[/tex] and [tex]y = 4[/tex], then:

1) [tex](2,4)[/tex] Given.

2) [tex](0,0) + 3\cdot (2,4)[/tex] Dilation with respect to origin.

3) [tex](6,12)[/tex] Vectorial sum and scalar multiplication.

4) [tex](6+4,12)[/tex] Translation.

5) [tex](10,12)[/tex] Vectorial sum. Result.

The coordinates of r' are x = 10 and y = 12.

Answer:

10,12 is the answer

Step-by-step explanation:

I just did it on a p e x

Rodrigo compro 1/5 de los pasteles que venden la señora carmen , carlos 1/10 y francisca 1/3 del total . El resto de los pasteles no se vencio . Que parte del total aun esta disponible?

Answers

Se asume que en la pregunta: "El resto de los pasteles no se venció", se quiso decir en realidad: "El resto de los pasteles no se vendió".

Answer:

La parte del total que aún está disponible es [tex] \\ \frac{11}{30}[/tex].

Step-by-step explanation:

El total de los pasteles que se compraron es la suma de las fracciones del total que compró Rodrigo, [tex] \\ \frac{1}{5}[/tex], de la fracción del total que compró Carlos, [tex] \\ \frac{1}{10}[/tex], y de la fracción del total que compró Francisca, [tex] \\ \frac{1}{3}[/tex].

Numericamente hablando, Rodrigo, Carlos y Francisca compraron:

[tex] \\ \frac{1}{5}+\frac{1}{10}+\frac{1}{3}[/tex] [1]

Del total de los pasteles que vende la Señora Carmen.

La suma de las fracciones en [1] se puede realizar de distintas maneras, una posible es la siguiente:

Podemos aplicar la propiedad asociativa para la suma, es decir, primero sumamos dos fracciones y el resultado lo sumamos a la fracción restante.

Debemos recordar que, en general, en la suma de fracciones tenemos los siguientes casos:

Fracciones con denominadores diferentes

Si los denominadores de las fracciones son diferentes, los denominadores se multiplican. Este será el nuevo denominador para la suma de dos fracciones.Luego, cada denominador se multiplica con el numerador de la otra fracción. El resultado de cada multiplicación se suma y el total forma el nuevo numerador.Simplificar la fracción de ser posible, es decir, si el numerador y el denominador pueden dividirse por un mismo número, la división resultante para el numerador y el denominador formarán la nueva fracción. El número que simplifica la fracción a su "mínima expresión" es el máximo común divisor de ambos números.

Fracciones con iguales denominadores

Se deja el mismo denominador y se suman los numeradores.Seguir el paso 3 del caso anterior para simplificar la fracción.

De esta forma:

[tex] \\ (\frac{1}{5}+\frac{1}{10})+\frac{1}{3}[/tex]

Se desarrolla primero la operación entre las fracciones dentro del paréntesis conforme a lo explicado anteriormente:

[tex] \\ (\frac{1*10+5*1}{5*10})+\frac{1}{3}[/tex]

[tex] \\ (\frac{10+5}{50})+\frac{1}{3}[/tex]

[tex] \\ \frac{15}{50} + \frac{1}{3}[/tex]

Se divide el numerador y el denominador de la fracción [tex] \\ \frac{15}{50}[/tex] entre cinco (5):

[tex] \\ (\frac{\frac{15}{5}}{\frac{50}{5}})+\frac{1}{3}[/tex]

Resultando:

[tex] \\ (\frac{3}{10})+\frac{1}{3}[/tex]

Esta fracción se suma a la siguiente y se procede de igual manera:

[tex] \\ \frac{3}{10}+\frac{1}{3}[/tex]

[tex] \\ \frac{3*3+10*1}{10*3}[/tex]

[tex] \\ \frac{9+10}{30}[/tex]

[tex] \\ \frac{19}{30}[/tex]

El número 19 es primo, es decir, sólo lo puede dividir el 1 y el mismo número (19). El 30 no es divisible por 19, por lo tanto, la fracción queda expresada de esa manera.

Tenemos entonces que:

El total de los pasteles vendidos fue la fracción [tex] \\ \frac{19}{30}[/tex].La parte que aún está disponible hay que restarla del total. El total es 1.

De esta manera, la parte que aún está disponible es:

[tex] \\ 1 - \frac{19}{30}[/tex]

Podemos hacer [tex] \\ 1 = \frac{30}{30} = 1[/tex] (o un número dividido por si mismo es igual a la unidad) para que la operación se haga más fácilmente (caso de suma de fracciones con iguales denominadores):

[tex] \\ \frac{30}{30} - \frac{19}{30}[/tex]

[tex] \\ \frac{30 - 19}{30}[/tex]

[tex] \\ \frac{11}{30}[/tex]

El número once es también un número primo y la fracción no se puede simplificar más porque el 30 no es divisible por 11.

Por lo tanto, la parte que aún está disponible es la fracción [tex] \\ \frac{11}{30}[/tex], la cual podría interpretarse como once (11) partes de las treinta (30), [tex] \\ \frac{11}{30}[/tex],  que estaban disponibles antes de que Rodrigo, Carlos y Francisca compraran los pasteles.

what is the value of n

Answers

Answer:

c. 38

Step-by-step explanation:

The circle is inscribed in triangle A E C. Which are congruent line segments? Select two options. AB and CB ;EF and ED; ED and CD ;A F and EF ;CB and CD

Answers

Answer:

B and E

aka

E-F and E-D

C-B and C-D

Step-by-step explanation:

By the symmetry of the circle, we can see that:

EF is congruent to ED.EC is congruent to EAAB is congruent to BCFA is congreunt to DC.

What are congruent line segments?

Two segments are congruent when the segments have the same measure.

Here, we can use the symmetry of the circle to break the triangle into two equal parts.

We could see that segment EB cuts the triangle into two equal halves, then we will have that:

EF is congruent to ED.EC is congruent to EAAB is congruent to BCFA is congreunt to DC.

These are the congruent segments.

If you want to learn more about segments, you can read:

https://brainly.com/question/14366932

The height of a tree at time t is given by h(t) = 2t + 3, where h represents the height in inches and t represents the number of months. Identify the independent and the dependent variables.

Answers

Answer:

Step-by-step explanation:

You see that 't' is the 'argument' or 'input' to h:  h(t).  It is always safe to assume that t is the independent variable and h is the depend

Find m∠C. please help

Answers

Answer: 16.991°

Step-by-step explanation:

Used a triangle calculator hope this helped!

A
The star makes a glide reflection according to the vector (5,0) and reflection line of y = 1. What are the coordinates of A?
Select one:
O a. (-4,0)
Ob.(2,-2)
OC. (-2, 4)
O d. (0,-2)

Answers

The answer will end up being c

Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare.

Answers

Answer:

Gym A and B offers the same price

Step-by-step explanation:

[tex]\huge\bold\color{steelblue}{\colorbox{white}{Answer:}}[/tex]

Both of them has the same price

━═━═━═━═━═━═━═━━═━═━━═━═━━═━═━═━═━═━═━═━

If you have any questions, feel free to ask me <33

#CarryOnLearning

#HelpBrainlyCommunityGreat

Please answer it now in two minutes

Answers

Answer:

44

Step-by-step explanation:

Tan v=opp/adj 18s/19s=0.947

v=44 degrees (approximately)

angle T=180 - (90+44)

angle T= 46

help me I need this answer asap pls :(​

Answers

The answer is - 3 units because it is 3 below the g(x) unit
The answer is -3 units. I hope this answer helps

A hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend? Ju Chan answered the question by writing the following: 4(−15) meters = −60 meters. Which word in the problem indicates that a negative number should be used?

Answers

Answer : I think the word that indicates that negative should be used is “descend” since he took a break 4 times and each time he descend 15 meter if we look at the equation 4(-15)=-60
Where 4 is the amount of time he took a break and (-15) is the distance he descend.

Answer:

"descends"

Step-by-step explanation:

(just had the same question).

The volume of a cube is 681472 cubic cm. Find the side of the cube.

Answers

Answer:

[tex]l = 88 cm[/tex]

Step-by-step explanation:

Volume of Cube = [tex]l*l*l[/tex]

Volume of Cube = [tex](Length)^3[/tex]

Where volume = 681472 cubic cm

=> [tex]l^3 = 681472[/tex]

Taking square root on both sides

=> [tex]l = \sqrt{681472}[/tex]

=> [tex]l = 88 cm[/tex]

Find each difference.
(32mn2 + 50mn2) - (10mn2 - 16m2 + 64)
PLEASE HELP!!! ASAP!!!

Answers

Answer:

144mn + 32m - 64

:)

Step-by-step explanation:

Will get lots of points!! Thank you!! Trigonometry

Answers

Answer:

Angle B =  75 degrees

AC =  35.7

BC =  9.6

Step-by-step explanation:

Angle A = 15 degrees (given)

Angle C = 90 degrees (given)

c = 37 (given)

Angle B = 90-15 = 75 degrees

AC = AB cos(A) = 37 cos(15) = 35.7

BC = AB sin(A) = 37 sin(15) = 9.6

Mrs Lim bought a number of plates at an average price of $6. She decided to buy another plate which cost $18. The average price of all the plates then became $8. What was the total number of plates Mrs Lim bought in all?​

Answers

Use simultaneous equations to solve this question, it’s beginners algebra if I’m not wrong. I hope you’re able to understand my working :)

Help fast will mark you the brainlest

Answers

Answer:

55°

Step-by-step explanation:

x°+35° is a right angle

so x°+35°= 90°

then : x° = 90°-35° = 55°

Answer: x = 20

Step-by-step explanation:

This problem makes use of Supplementary Angles.  Supplementary Angles states that all angles that makes up a straight line are equal to 180.  Thus, 125+35+x=180

First add

160+x=180

Then subtract

x=20

Hope it helps <3

Simplify (4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n). Express your answer without factoring.

Answers

Answer:

6n^4-10n^2+10n

Step-by-step explanation:

4 n^4+2n^4-3n^2-7n^2+9n+n

6n^4-10n^2+10n

Answer:

[tex]\boxed{6n^4- 10n^2 + 10n}[/tex]

Step-by-step explanation:

[tex](4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n)[/tex]

[tex]\sf Remove \ brackets.[/tex]

[tex]4n^4 - 3n^2 + n+2n^4 -7n^2 + 9n[/tex]

[tex]\sf Group \ like \ terms.[/tex]

[tex]4n^4 + 2n^4- 3n^2 -7n^2 + 9n+n[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

[tex]6n^4- 10n^2 + 10n[/tex]

Multiply. 4.9 0.3 plz i need epain how to do it

Answers

Answer:

1.47

Step-by-step explanation:

Use the multiplication method.

Answer:

Hello!

_______________________-

4.9 x 0.3 = 1.47

Step-by-step explanation: Multiply 4.9 by 0.3 then you get 1.47.

Hope this helped you!

If x∝y and x=24 when y = 8. Find x when y = 16
3 points

Answers

Answer:

x= 48

Step-by-step explanation:

x∝ y

x= ky

24= 8k

k= 3

Now solve for x

x= ky

x= 3x 26

x= 48

I hope it helped

I need help with my homework help me please

Answers

Answer:

a. 17

b. 50

c. 9

Step-by-step explanation:

Simply replace the variables with the given numbers:

3(5) + 2

15 + 2

17

2(5)²

2(25)

50

(5 - 2)²

9

Answer:

a) 17

b) 50

c) 9

Step-by-step explanation:

x = 5; y = 2

a) 3x + y

b) 2x^2

c) (x - y)^2

a) 3x + y = 3(5) + 2 = 15 + 2 = 17

b) 2x^2 = 2(5^2) = 2(25) = 50

c) (x - y)^2 = (5 - 2)^2 = 3^2 = 9

Question 1) While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent. 1 European euro = 1.3687 US dollars Question 2) To fit between two windows, the width of a bookshelf must be no greater than Six and one half feet. Mrs. Aguilar purchases a bookshelf that is 77 inches wide. Which statement describes the relationship between the width of the bookshelf and the distance between the windows? Question 3) Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which statement comparing the two swimmers is accurate? 1 mile 1,609 meters.

Answers

Pharrell Williams produced most of Justin Timberlakes critically acclaimed debut solo album Justified.

Confusing again ?!?!?!?! Please help I have 5 mins

Answers

Answer:

B.

Step-by-step explanation:

Hope it was Right.

Answer: the answer is c

Which fraction is not equivalent to 7/8

Answers

Answer:

C. 15/16

Step-by-step explanation:

A. Divide by 3

B. Divide by 5

C. Can't divide by anything.

D. Divide by 4

Answer:

C

Step-by-step explanation:

21/24 = 7/8

35/40 = 7/8

7/8 ≠ 15/16

14/16 ≠ 15/16

28/32 = 7/8

Solve for x 8/11 = x/3

Answers

Answer: 24/11
Explanation:
8/11 = x/3
(8/11) • 3 = x
24/11 = x

A jar holds 80 fluids ounces of juice. The label says the jar has 10 servings. How many fluid ounces are needed for 80 servings?

Answers

80 ounces = 10 servings

Multiply both sides by 8:
8(80) ounces = 80 servings
640 ounces = 80 servings

Answer:

640 fl oz

Step-by-step explanation:

80 divided by 10 is 8. So each serving for a jar that hold 80 fl oz contains 8 fl oz.

So you would multioply 80 by 8 to find the amount of juice needed for 80 servings.  80*8= 640

Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. Write an equation to represent this situation.

Answers

Answer:   5s -3 = s -3 + 24    5s -3 = s + 21

Step-by-step explanation:

Father   f

Son   s .   present:  f = 5s  use this equation to substitute the equal value

3 years ago .  f-3 = s-3 + 24  

Substitute 5s for f in the second equation

5s -3 = s-3 + 24

works out as  5s -s = - 3  +3 + 24

4s = 24  

4s/4 = 24/4  

s = 6

The son's age is 6, The father is 30

Can someone please help me I really need help please help me thank you

Answers

Answer:

The initial value of the computer

Explanation:

The v-intercept of the line is the point when the graph goes through the v-axis. At this point, t=0, meaning no time has yet passed. Since no time has passed, the v equals the original value of the computer at the v-intercept, meaning the answer is the initial value of the computer.

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