Find the seventh term of the
geometric sequence, given the
first term and common ratio.
a_=1 and r=-2/3
[?]

Answers

Answer 1

Answer:

[tex]T_7 = \frac{64}{729}[/tex]

Step-by-step explanation:

Given

[tex]a =1[/tex]

[tex]r = \frac{2}{3}[/tex]

Required

Determine the 7th term

The nth term of a gp is:

[tex]T_n = a * r^{n-1[/tex]

So, we have:

[tex]T_7 = 1 * \frac{2}{3}^{7-1[/tex]

[tex]T_7 = 1 * \frac{2}{3}^{6[/tex]

[tex]T_7 = 1 * \frac{2^6}{3^6}[/tex]

[tex]T_7 = 1 * \frac{64}{729}[/tex]

[tex]T_7 = \frac{64}{729}[/tex]


Related Questions

En una tienda de videojuegos venden, por la mañana, las 3/4 partes de los que tenían. Por la tarde vendieron 4/5 de los que le quedaban. Cuando cerró la tienda quedaron 200 videojuegos sin vender, ¿cuántos había al principio?, ¿cuántos vendieron por la tarde?

Answers

al principio había 10

y se vendieron por la tarde150

Violet made cookies for the bake sale. 7/10 of the cookies are chocolate chip. 3/4 of the remaining cookies are sugar. What fraction of cookies are sugar cookies?

Answers

We know that 7/10 of the cookies are chocolate chip, so that means there are 3/10 of the cookies left.
We now want to find what 3/4 of 3/10 is.
We can do this by multiplying both fractions
3/4x3/10 (we just multiply across) to get 9/40.
We cannot simplify this answer, so our final answer is 9/40 of the cookies are sugar cookies.

giving brainliest !! *easy*

Answers

23pi/12 radians is equal to 345°

Dale drew the following box to represent the data set.​

Answers

Answer:

Min 80,  Q1 82, Med. 85.5, Q3 93, Max 100.

90%.

Step-by-step explanation:

Percentage at least 82 =  100 *(100 - 82) / (100-80)

= 90%.

Cuál es el costo mínimo para la construcción de una caja abierta cuya base rectangular tenga una longitud igual al doble del ancho y su volumen sea 72 metros cúbicos? el material para la base cuesta $50 el metro cuadrado y el de los lados $25 el metro cuadrado​

Answers

Answer:

???

Step-by-step explanation:

Help plz right answer only help me

Answers

it would be A, QS hope this helps

Hello. I have no idea how to solve this question below about Probability. I would appreciate if you show how to solve it step-by-step. Thank you so much.

Alonzo, Bob, and Casper work bussing tables at a restaurant. Alonzo has a 70% chance, Bob has a 10% chance, and Casper has a 20% chance of bussing tables in the middle area of the restaurant. If Alonzo is bussing tables, he has a 6% chance of breaking a dish. If Bob is bussing tables, he has a 2% chance of breaking a dish. Finally, if Casper is bussing tables, he has a 3% chance of breaking a dish. If there is a broken dish in the middle of the restaurant, what is the probability it was broken by Casper?

Answers

Alonzos will be making 45 percent

The probability the dish was broken by Casper if he bussed tables is;

P(Casper bussing tables and breaking dish) = 0.6%

We are given the three probabilities each for Alonzo, Bob and Casper for bussing tables and also in case any dish should break.

P(Alonzo bussing tables) = 70% = 0.7

P(Bob bussing tables) = 10% = 0.1

P(Casper bussing tables) = 20% = 0.2

P(Alonzo breaking a dish) = 6% = 0.06

P(Bob breaking a dish)  = 2% = 0.02

P(Casper breaking a dish)  = 3% = 0.03

This is all about independent events as the probability of breaking the dishes does not increase or decrease with the bussing of the tables.

Thus; P(A and B) = P(A) + P(B)

Thus, if a dish is broken, the probability that it was broken by Casper is;

P(Casper bussing tables and breaking dish) = P(Casper bussing tables) × P(Casper breaking a dish)

P(Casper bussing tables and breaking dish) = 0.2 × 0.03

P(Casper bussing tables and breaking dish) = 0.006 or 0.6%

Read more at; https://brainly.com/question/12602710

Please help it’s for homework

Answers

Slope is 5
Y intercept is -8
y = 5x - 8
The answer should be y=5x-8

work out m and c for the line y= x+4​

Answers

Answer:

M = 1, C = 4

Step-by-step explanation:

Just take note that all linear equation have the form Y = Mx + C.

Here you can read directly from the equation given.

A fair die is a cube with number 1 through 6 on the sides, represented as painted spots. If a fair die is rolled, what is the probability of number 6 landing face up?

Answers

Answer:

The First Part is A. 1/6

The Second Part is 1

The Third Part is B. 3

And The Fourth Part is B. Different

Step-by-step explanation:

Just took it. Edg 2021. Hope this helps :) (Da smiley is George, George says hi)

The probability of number 6 landing face up is 1/6.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

We have roll a die with number 1 to 6.

So, the possible outcome

{1, 2, 3, 4, 5, 6}

Then, the probability of number 6 landing face up

= 1 / 6

Hence, the probability is 1/6.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ2

The area is about ____ square inches. ANYONE KNOW THIS!? I need the steps if possible:(

Answers

Answer:

28.57

Step-by-step explanation:

Square = 4x4=16

two half circles = one whole circle = [tex]\pi[/tex]2²=12.566

16+12.57=28.57

Given the triangle below, what is the length
of the hypotenuse?
2 cm
4 cm

Answers

Answer:

squareroot(20)

Step-by-step explanation:

2^2=4

4^2=16

Square root of 20 is the answer

SHOW YOUR WORK PLEASE

Answers

Answer:

0.60

Step-by-step explanation:

3/5 is equal to 6/10 which as a decimal would be 0.60 or 0.6

The answer is 0.6

I hope I helped. Sorry, I did this quickly.

PLEASE HELP ASAP
TRIGONOMETRY

Answers

Answer:

11). x = 25.8°

12). x = 67.3°

Step-by-step explanation:

11). By using sine rule in the given triangle,

   cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(x) = [tex]\frac{27}{30}[/tex]

   x = [tex]\text{cos}^{-1}(\frac{9}{10} )[/tex]

   x = 25.84

   x ≈ 25.8°

12). By applying tangent rule in the given triangle,

    tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

    tan(x) = [tex]\frac{43}{18}[/tex]

    x = [tex]\text{tan}^{-1}(\frac{43}{18} )[/tex]

    x = 67.29°

    x ≈ 67.3°  

1.4x + 3.5y
help! 6th grade :)

Answers

Answer:

Step-by-step explanation:

Simplifying

1.4x + 3.5y = 0

Solving

1.4x + 3.5y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3.5y' to each side of the equation.

1.4x + 3.5y + -3.5y = 0 + -3.5y

Combine like terms: 3.5y + -3.5y = 0.0

1.4x + 0.0 = 0 + -3.5y

1.4x = 0 + -3.5y

Remove the zero:

1.4x = -3.5y

Divide each side by '1.4'.

x = -2.5y

Simplifying

x = -2.5y

Omg!! Please help!! Thank you

Answers

Answer:

the first one since it shows all the lines being equal and therefore making the angles equal

Answer:

AB=DE, BC=EF, AC=DF

Step-by-step explanation:

The first one is correct

*
Question 2
If a calculator is sold for $15.95, then the revenue in dollars, R, generated by this item
is given by the formula R=15.959, where a represents the number of calculators sold.
Use the formula to determine the revenue generated by this item if 40 calculators are
sold.

Answers

Answer:

Answer is in the photo so you have so look in this give wribsite

Find the greatest common factor of 48XY^3z,24x^2y^3z, and 56x^2yz

Answers

8x? I don’t really now how to do this but this might be right

A sketch of a new dog park in town is shown below. How many square feet will the dogs have to roam
and play?

Answers

Answer:

they will have 432 ft to play

Pls help ASAP math plsssss

Answers

Answer:

ASAP meaning as soon as possible

Answer:

y=  1.4x + 7

Step-by-step explanation:

y= mx + b

m = rise over run = 7/5 = 1.4

the y intercept is 7, this is our b

How to divide the 4 ÷ 6.

Answers

Answer:

0.6666666666666666

Step-by-step explanation

its hard to explan but i did it on my calculator

if yo need ans in point

4/6

-6.67

if you need ans in upon then

ans is 2upon3

Find the measure of 67.
81
96
90
47 = [?]
Entor

Answers

Answer

Correct option is

A

68

Answer:

96 is the answer because vertically opposite angles are always equal

Geometry Question Need Help. Solve for x:

Answers

Answer:

im not sure

Step-by-step explanation:

sorry

What is the vertex of y=−2x2−4x−5

?
Question 1 options:


(−1,−3)



(−2,−3)



(1,−1)



(−1, 3)

Answers

Answer:

2x2-4x-5=0..........

Can you please help me

Answers

Answer:

Is B

Step-by-step explanation:

the vertex is 0,0

Axis of symmetry :x=-1

directrix y=-1

-2,1

-1,1/4

0,0

Find the distance between the points (7, 4) and (-6,-3)

Answers

It’s is the square root of 218 when using the distance formula

Pls help it’s due In 30 mins

Answers

Answer: Equation

Explanation: If it has an equal sign it is an equation

What is the degree of the monomial 12?

Answers

The expression is constant, which means it can be rewritten with a factor of  x^ 0 . The degree is the largest exponent on the variable.  0

3
Find the lateral surface area of the rectangular prism in centimeters.
A
28 cm2
B)
36 cm2
42 cm2
D
48 cm
3
lol

Answers

Answer:

B.) 36cm2

Step-by-step explanation: I just did it and got it right

Suppose Z varies directly with X and inversely with Y where X equals 3Y equals one and Z equals six what is the value of Z when X equals seven and why equals four

Answers

Answer:

k = 2

Z = 3.5

Step-by-step explanation:

Z = kX/Y

Where,

X = 3

Y = 1

Z = 6

Find k

Z = kX/Y

6 = k3/1

Cross product

6 * 1 = 3k

6 = 3k

k = 6/3

k = 2

what is the value of Z when X equals seven and why equals four

X = 7

Y = 4

Z = ?

k = 2

Z = kX/Y

= (2*7)/4

= 14/4

= 3.5

Z = 3.5

Other Questions
using the formula v=4/3 pie r Squared by 3 what is the volume of a ball with a radius of 3 units Solve for x. Round answers to the nearest tenth. Name this alkane.A five-sided polygon with one point facing left. A straight line extends from that point, then a line slanting up to the left, then another straight line extends left.propylcyclopentanepentylpropanenonacyclotanephenylcyclopentane Can someone help me with this question. Now think about what youve learned about the growth of cities in the 1800s.Identify two or three reasons why cities grew so rapidly between 1800 and 1850.Give your answer in at least two complete sentences. Jason is a skilled rapper. He has already rapped a 40-word intro to a song and continues to rap 5 words per second.Write an inequality to determine how many more secondstthe will rap to complete the song if the total song, including the intro, is at least 500 words. 1. How can we perform good behaviour? Read the final paragraph of the article The Importance of Zoos.Highlight the word that best defines the word standards. Zoos promote conversation, education, economic growth and animal well-being. And they continue to try to improve. Organizations like American humane are working with zoos to set standards, or rules, to ensure animals receive the best care. Next time you go to the zoo, pat yourself on the back for supporting such a helpful organization. Ask a zoo employee how you, too, can become an advocate for animals!Read the final paragraph of the article The Importance of Zoos.Highlight the word that best defines the word standards.Read the final paragraph of the article The Importance of Zoos.Highlight the word that best defines the word standards.Read the final paragraph of the article The Importance of Zoos.Highlight the word that best defines the word standards.Read the final paragraph of the article The Importance of Zoos.Highlight the word that best defines the word standards.vRead the final paragraph of the article The Importance of Zoos.Highlight the word that best defines the word standards.Read the final paragraph of the article The Importance of Zoos.Highlight the word that best defines the word standards.Read the final paragraph of the article The Importance of Zoos.Highlight the word that best defines the word standards.Read the final paragraph of the article The Importance of Zoos.Highlight the word that best defines the word standards.Read the final paragraph of the article The Importance of Zoos.Highlight the word that best defines the word standards.Read the final paragraph of the article The Importance of Zoos.Highlight the word that best defines the word standards.Read the final paragraph of the article The Importance of Zoos.Highlight the word that best defines the word standards.Read the final paragraph of the article The Importance of Zoos.Highlight the word that best defines the word standards. The Doctor says that having one's reckoning clear is not necessary after all. True FalseEveryman epilogue 862-922 15) Two-thirds of the 5th graders are wearing sneakers today. If there are 120 5th graders, how many are wearing sneakers today? * On January 1, the company purchased equipment that cost $10,000. The equipment is expected to be worth about (or has a salvage value of) $1,000 at the end of its useful life in five years. The company uses straight-line depreciation. It has not recorded any adjustments relating to this equipment during the current year. Required:Complete the necessary December 31 journal entry. Elliptical Consulting is a consulting firm owned and operated by Jayson Neese. The following end-of-period spreadsheet was prepared for the year ended June 30, 20Y6: Elliptical Consulting End-of-Period Spreadsheet For the Year Ended June 30, 20Y6 Unadjusted Adjusted Trial Balance Adjustments Trial Balance Account Title Dr. Cr. Dr. Cr. Dr. Cr. Cash 15,780 15,780 Accounts Receivable 37,570 37,570 Supplies 3,980 (a) 3,340 640 Office Equipment 30,810 30,810 Accumulated Depreciation 4,170 (b) 1,990 6,160 Accounts Payable 10,140 10,140 Salaries Payable (c) 490 490 Jayson Neese, Capital 38,320 38,320 Jayson Neese, Drawing 4,880 4,880 Fees Earned 71,580 71,580 Salary Expense 28,180 (c) 490 28,670 Supplies Expense (a) 3,340 3,340 Depreciation Expense (b) 1,990 1,990 Miscellaneous Expense 3,010 3,010 124,210 124,210 5,820 5,820 126,690 126,690 From sea level, the biosphere goes up about 19km. What is the thickness of the biosphere in meters? In isosceles triangle WXY, XY is 13 inches in length and WY is 10 inches. What is the length of XZ? answer asap please Enter the value for x that makes the equation true.2 ( x 1 ) + 3 x = 3 Group of answer choices:A. -12B. -1C. 12D. 1 Find the area of the parallelogram. Natasha bought a tennis racket that was marked down by 20%. If the racket was originally priced at $125, how much did Natasha pay?A Natasha paid $100.B Natasha paid $25.C Natasha paid $80.D Natasha paid $45. In RST, the measure of T=90, the measure of R=24, and RS = 3.8 feet. Find the length of ST to the nearest tenth of a foot help i need the answers by tomorrow Find the common factors of the given terms:2y, 22xy. Ok