what is the value of the fourth term in a geometric sequence for which a1=30 and r=1/2

Answers

Answer 1

Answer:

a(4) = 15/4

Step-by-step explanation:

The general formula for a geometric series with common ratio r and first term a(1) is

a(n) = a(1)*r^(n - 1)

and so, if a(1) = 30 and r = 1/2, we have

a(n) = 30*(1/2)^(n - 1)

and the fourth term is then:

a(4) = 30*(1/2)^(4 - 1) = 30/8 = 15/4


Related Questions

You spent $145 purchasing 3 student tickets and 7 adult tickets. Adult tickets cost $5 more than a student ticket. Find the cost of a student ticket. Find the cost of an adult ticket.

Answers

Answer:

$11 and $16

Step-by-step explanation:

let x be the cost of a student ticket then an adult ticket is x + 5 , then

3x + 7(x + 5) = 145 , that is

3x + 7x + 35 = 145

10x + 35 = 145 ( subtract 35 from both sides )

10x = 110 ( divide both sides by 10 )

x = 11

Student ticket costs $11 and adult ticket = x + 5 = 11 + 5 = $16

Help Please!!!!!!! Need Help!!!​

Answers

Answer:

925

Step-by-step explanation:

In order to solve this summation formula, you need to first understand what it means. The summation symbol is tell you to add the terms in a sequence. Below the summation sign, there is a variable and number; the variable n is the index of summation and the number 1 is the lower limit of summation or the first value of the sequence. The number 25 above the summation sign is the upper limit (so there would be 25 terms, with the first being 1). The polynomial to the right of the summation symbol represents the explicit function for each term. For example, using this, the first term would be (3(1) - 2) and the second (3(2) - 2) and so on. This means the value of that equation is:

(3(1) - 2) + (3(2) - 2) + (3(3) - 2)... + (3(25) - 2)

One way to solve this is to write all 25 of the terms and add them, but since that's tedious, you can solve this by first doing the basic summation of 1 to 25 and then inputting that into the equation:

1 + 2 + 3... + 25 = (25 × 26)/2 (when the first number is one and the rate of change is 1, the sum of the terms in a sequence is (n*(n+1))/2)

= 325

Now, that you know what the sum of the sequence of terms 1 to 25 are, you can multiply this by the constant since if you break up the equation you would be multiplying 3 by 1 then 3 by 2 and so on until 25, or 3 × (1 + 2 + 3... + 25):

3 × 325 = 975

At this point, you just need to add (-2) × 25. You do this because since there are 25 terms, if you subtracted 2 each time, you would subtract 2 twenty-five times:

975 + ((-2) × 25)

= 975 - 50

= 925

Holaa, ¿cómo están?, ¿podrían ayudarme?,es urgente. Necesito saber 3 propiedades de la radicación,si alguien por favor las sabe o al menos sabe 1 o 2 por favor díganme, gracias!

Answers

Answer:

(i) La raíz enésima de un producto de dos números es igual al producto de las raíces enésimas de cada número del producto:

[tex]\sqrt[n]{a\cdot b} = \sqrt[n] {a}\cdot \sqrt [n] {b}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]

(ii) La raíz enésima de una división entre dos números es igual a la división de la raíz enésima del numerador y la raíz enésima del denominador:

[tex]\sqrt [n]{\frac{a}{b} } =\frac{\sqrt[n]{a}}{\sqrt [n] {b}}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]

(iii) La raíz emésima de la raíz enésima de un número es igual a la raíz eme-enésima del número:

[tex]\sqrt[m]{\sqrt[n]{a} } = \sqrt[m\cdot n]{a}[/tex], [tex]a\in \mathbb{R}[/tex], [tex]m,n\in \mathbb{N}[/tex]

Step-by-step explanation:

Existen tres propiedades fundamentales de la radicación, las cuales se enumeran a continuación:

(i) La raíz enésima de un producto de dos números es igual al producto de las raíces enésimas de cada número del producto:

[tex]\sqrt[n]{a\cdot b} = \sqrt[n] {a}\cdot \sqrt [n] {b}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]

(ii) La raíz enésima de una división entre dos números es igual a la división de la raíz enésima del numerador y la raíz enésima del denominador:

[tex]\sqrt [n]{\frac{a}{b} } =\frac{\sqrt[n]{a}}{\sqrt [n] {b}}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]

(iii) La raíz emésima de la raíz enésima de un número es igual a la raíz eme-enésima del número:

[tex]\sqrt[m]{\sqrt[n]{a} } = \sqrt[m\cdot n]{a}[/tex], [tex]a\in \mathbb{R}[/tex], [tex]m,n\in \mathbb{N}[/tex]

help pls his it due in 10 min

Answers

A. 5(2x+1)

10x+5

B. 34(x-1)

34x-34

C. 9(x+3)

9x+27

Hope it helps

On factorising 14pq + 35pqr. we get?

Answers

Answer:

7pq( 2 + 5r)

Step-by-step explanation:

Answer:

7 pq (5r + 2)

Simplify the below Question and solve, based on linear equations in 2 variables

Answers

Answer:

x=-1/2

Step-by-step explanation:

hope it helps you

have a great day:)

help me please? ill mark as brainliested :))

Answers

Answer:

go down 5 on the y axis (the one going up and down)

Step-by-step explanation:

since its negative you go down, and since it doesnt give an x axis it doesnt go left or right.

Is 30 a typical test score? If so, explain your reasoning. If not, what is a typical test score?

Answers

Answer:

NO

Step-by-step explanation:

Failing a test is atypical for most kids. You have the occasional, but generally failing is something people don't really do. A typical test score varies from 95-70. It really just depends on the person. I sure hope you don't usually score 30's on tests.

stay cold,

brook

In a​ survey, 400 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 3.

Number 1 2 3 4 5
Frequency 32 96 128 112 32

Answers

Answer:

The value of the experimental probability is greater

Step-by-step explanation:

For the theoretical probability;

the probability that a card with the number 3 is selected is 1/5

We consider that the probabilities of each selection are equal, for the theoretical probability

For the experimental, we simply place the frequency of the selection 3 over the total

that will be 128/400 = 8/25

As we know that 8/25 is greater than 1/5

We can conclude that the value of the experimental probability is greater than that of the theoretical

Answer:

I hate math

Step-by-step explanation:

help anyone? 5 stars thank you

Answers

Answer:

False

True

False

True

False

Step-by-step explanation:

Use corresponding parts of similar polygons

Answer:

Ok first one true second one true and and the third one false and forth one true and fith one false so look at the bottom for better help

Step-by-step explanation:

1. True

2. True

3. False

4. True

5. False

I need help Please thank u

A plate is considered a major plate if it covers an area of more than _____________ Kilometers

A - 40,000,000km2

B - 2,000km2

C - 200,000,000km2

D - 20,000,000km2​

Answers

Answer: I think it could be A but I could be wrong‍♀️

put the quadratic into vertex form and state the coordinates of the vertex

y = x² + 6x - 41​

Answers

Answer:

The vertex form of the quadratic:    y = (x - 1)² + 2

Coordinates of vertex:    (1, 2)

Step-by-step explanation:

The vertex form of an equation of the parabola is:  f(x) = a(x - h)² + k

where (h, k) is the vertex. So:

x - h = x - 1   ⇒   h = 1

+ k = +2     ⇒  k = 2                                                                                                     -------------------------------------------------------------------------------

You were a big help on another question, so i am here to return the favor! <33

:o)

Help with number 3 please.

Answers

Answer:

The three integers are 11 , 13 , and 15 .

Step-by-step explanation:

The process of producing pain-reliever tablets yields tablets with varying amounts of the active ingredient. It is claimed that the average amount of active ingredient per tablet is at least 200 milligrams. The Consumer Watchdog Bureau tests a random sample of 70 tablets. The mean content of the active ingredient for this sample is 194.3 milligrams, while the standard deviation is 21 milligrams. What is the approximate p-value for the appropriate test

Answers

Answer:

p = 0.0116

Step-by-step explanation:

We are given;

Population mean; μ = 200 mg

Sample mean; x¯ = 194.3 mg

Standard deviation; σ = 21 mg

Sample size; n = 70

Formula for z-score is;

z = (x¯ - μ)/(σ/(√n))

z = (194.3 - 200)/(21/√70)

z = -5.7/2.51

z = -2.27

From the z-score table attached, the p-value at z = -2.27 is p = 0.0116

Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?
x+3y=16
3x+y=8

Answers

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The attached shows the matrices and the determinants. The value of x is ...

  x = ∆₁/∆ = -8/-8 = 1

The value of x in the solution to this system of equations is 1.

Answer:

A:  16 3 8 1 / -8 = 1

Step-by-step explanation:

got 100% on "Cramer's rule" edge 2022 quiz

Meghan is 45 inches tall. Which measurement describes Meghan's height?

Answers

Answer:

3 feet and 9 inches

Step-by-step explanation:

answer is already there

Answer:

45 inches = 3.75 foot

45 inches = 1.143

Step-by-step explanation:

An inch measurement It is equal to ​1⁄36 yard or ​1⁄12 of a foot

Metric (SI) units: 25.4 mm

Radius = 7in find the area​

Answers

Pi(r^2)
3.14(49)= 153.86

define key features ​

Answers

Answer:

Wait no I apologize. This is the right one.

Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

Whats 9*20(10+20) First Answer Gets Brainliest

Answers

Answer:

Your answer would be 5400.

Step-by-step explanation:

You have to follow PEMDAS for this one. You will start within the parenthesis and add 10 and 20 together to get 30. You would then times that by 20 and get 600. Finally, you would mulitply that by 9 and get 5400 as your answer..

Explain how you use a net to find the surface area of a prism.

Answers

Answer:

Nets of rectangular prisms are made up of rectangles and squares. Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

Step-by-step explanation:

Answer:

By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.

Step-by-step explanation:

This is edges sample resopnse

YOU'LL GET MARKED AS A BRAINLYIEST IF YOU ANSWER THIS IN 1-2 MINUTIES. A party room at a restaurant can hold no more than 100 people. Which inequality represents p, the number of people who can be in the room?
A. 0 < p < 100
B. 0 ≤ p ≤ 100
C. p ≥ 100
D. p > 100

Answers

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

P must be equal to or less than 100 and having less than 0 people makes no sense

There are eight pints of lemonade an equal amount of lemonade is poured into 15 cups how much is in each cup

Answers

Answer: 8/15

Step-by-step explanation:

From the question, we are given the information that there are eight pints of lemonade and that an equal amount of lemonade is poured into 15 cups.

The amount of lemonade that's in each cup will be gotten by dividing the total pints of lemonade by the number of cups. This will be:

= 8 pints / 15

= 8/15 pints of lemonade

Jordan wants to buy a used car that is $14,500. he decided to make a 5% down payment on the car and finance the balance. How much will Jordan be financing for this car?

Answers

It appears he’s never fully paid for the car but only 5 percent of it, and five percent of $14500.00 is $725.00, so since it wants to know how much will Jordan be financing for this car it would be $725.00
But to know the remaining amount he needs to pay to fully buy the car it’s $13,775.00000000000000000000

“Deme cambio de un dolar, por favor” dijo el cliente llamado Bob.
– “Lo siento” dijo la señorita Jones, la cajera, después de buscar cuidadosamente en la caja, “pero no puedo hacerlo con las monedas que tengo”.
– “¿Puede entonces cambiarme medio dolar?”. La señorita Jones negó con la cabeza. En realidad, dijo, “¡ni siquiera tengo para cambiar ni veinticinco, ni diez, ni cinco centavos!”
– “¿No tiene ninguna moneda?” preguntó Bob.
– “Oh, sí” dijo la señorita Jones, “tengo $1.15 en monedas”.

¿Cuáles eran exactamente las monedas que había en la caja registradora? Razona la respuesta.

Answers

Answer:

Give me change for a dollar, please" said the customer named Bob. - "I'm sorry," said Miss Jones, the cashier, after carefully searching the box, "but I can't do it with the coins I have." - "Can you then change half a dollar?" Miss Jones shook her head. Actually, he said, "I don't even have a quarter, a dime, or a nickel to change!" - "You don't have any coins?" asked Bob. - "Oh yes" said Miss Jones, "I have $ 1.15 in coins." What exactly were the coins in the cash register? Reason for the answer.

Step-by-step explanation:

Answer:

medio dólar, cuarto de cuatro dimes || half dollar, quarter four dimes

please tell me the answer to this

Answers

Answer:

Wow you got s lot of questions wrong

Step-by-step explanation:

Eight times the sum of a number and 9 equals 7.

Answers

Answer:

8(x+9)=7

comment if you need anything else like solving for x

Find the solutions to x2 = 8.
A. X = +2.2
B. x= 12,4
C. X = +4-2
D. = +4.6

Answers

Answer:

x = ± 2√2

Step-by-step explanation:

Assuming "x2" is x^2 or "x squared", the answer can be derived from "square-rooting" both sides.

√ x^2 = √ 8

Then we simplify.

x = ± 2√2

Hope this helps!

Answer:

the answer is A.

Step-by-step explanation:

Don't have time to write the steps now because i am in class but i might later.

What is the volume of a cylinder with a height of 9.2 ft and a base with
a radius of 3.9 ft, to the nearest tenth of a cubic foot?

Answers

Answer:

439.6093432 cubic foot

Step-by-step explanation:

volume of cylinder= πr²h

putting the value in the formula

carrie spends 1 1/4 hours of practicing the piano 3 time a week. How much time does Carrie spend practicing the piano in one week?

3 1/4 hours

3 3/4 hours

4 hours

4 1/4 hours

Answers

Answer:

4 hours

Step-by-step explanation:

Because 1×4=4 1/4=25×4

If I have 5.6 moles of bobby pins, how many bobby pins do I have?

You can provide your calculative answer and then ==>show your final answer as well.

Answers

Answer:

... False because saturated fatty acids contain only single bond.

I hope this helps ..

Step-by-step explanation:

Other Questions
Please help soon!! I will give brainliest to the first correct answer! single-celled organisms are prokaryotes, such as archaeans and bacteria. Please help!!!!!!! I need it fast three body cells in the human body which is attacked by the plasmodium parasite pls help meA movie theater sells snacks to 30% of its customers each day. On Saturday, 186 customers bought snacks. How many customers went to the theater on Saturday? A. 242B. 520C. 558D. 620 I will name brainliest!! I NEED HELP ASAP! PLEASEEEEE-They say the people could fly. Say that long ago in Africa, some of the people knew magic. And they would walk up on the air like climbin up on a gate. And they flew like blackbirds over the fields. Black, shiny wings flappin against the blue up there. Then, many of the people were captured for Slavery. The ones that could fly shed their wings. They couldnt take their wings across the water on the slave ships. Too crowded, dont you know. The People Could Fly,Virginia HamiltonWhich element of a folktale is included in this excerpt?characters with exaggerated abilities a lesson about human behaviordetails changed by different storytellerscharacters who play tricks What is beauty ?? Define beauty? why is beauty important 120 < 12k + 29 need help plz answer for 15 points What are some of the musical elements that made bebop different from the jazz music that came before it? * Which ordered pair is a solution of the equation?-7x+3y=2Choose 1 answer:(Choice A)AOnly (1,3)(Choice B)BOnly (2,4)(Choice C)CBoth (1,3)(-2,-4)(Choice D)DNeither Graph triangle DEF with vertices D(-5,2), E(1,3), andF(-4,-3). Then graph the image of the triangle after itis translated 4 units right and 3 units down.What are the vertices of triangle D'E'F? WILL MARK BRANILIEST PLZ HELPType the correct answer in the box. Use numerals instead of words, and round your answer to the nearest whole number.Meghan flipped a quarter and rolled a standard six-sided die.The probability that the coin landed on heads and the die landed on an even number is __%. I need help on this please Sarah can spend at most $9.00 on oranges and almonds. She buys a bag of oranges for $3.50. At most, how much can Sarah spend on almonds? Elizabeth wants to have her birthday party at the movies. It costs $28 for pizza and $11.00 per friend for the movie tickets. How many friends ( f ) can Elizabeth have at her party if she has $182 to spend? Which of the following was not brought to the Americas by Europeans?a.horsesc.smallpoxb.Asian spicesd.tomatoes If a box of 100 pencilscosts $4.25, whatwould you expect topay for 224 pencils? helppsimplify the meaning of these circuit electric currentvoltage difference ohms lawresistance If the value of a hockey card decays at a rate of 50% per year, it will eventually be with exactly $0. True or False? I need help pls. (Dot plots)