Find the sum of the geometric series 128 - 64 + 32 – ... - 1.

Find The Sum Of The Geometric Series 128 - 64 + 32 ... - 1.

Answers

Answer 1

Step-by-step explanation:

this sequence has 8 terms and the common ratio or multiplication factor is -1/2.

we could add these 8 numbers manually or use the formula :

Sn = a1(1 - r^n)/(1 - n)

when r < 1 (like in our case -1/2).

S8 = 128(1 - (-1/2)⁸)/(1 - -1/2) =

= 128(1 - 1/256)/(3/2) = (128×255/256)/(3/2) =

= (255/2)/(3/2) = 255/2 × 2/3 = 255/3 = 85


Related Questions

Raymond bought a used truck for $18,800. If the sales tax in his state is 7 percent, what was the final price for his car?

Answers

Answer:

$1316

Step-by-step explanation: You would multiply 18,800 by 0.07  and Your would get $1316

Answer:

C on edg

Step-by-step explanation:

Which polynomial function could be represented by the graph below?

Answers

Answer:

y= 2x²+2x-4

Step-by-step explanation:

go 4 down = -4

2 left = +2

and 2x² was a guess since the other 2 weren't possible at all ¯\_(ツ)_/¯

On Monday, your bank account balance was -12.58. Because you didn’t realize this, you wrote a check for $ 30.72 for groceries?? What is the new balance in your checking account?

Answers

Answer:

43.30

Step-by-step explanation:

hope this helped ;)

the distance between the school and the library is 3 miles. About how many yards apart are the school and the library

Answers

Answer:

5280

Step-by-step explanation:

Take the amount of miles, multiply it by 1760, and you should get the approximate amount of yards.

A movie theater sells popcorn in a reusable bucket for $3.50. They offer refills for $1.00 each.

Write an equation in slope-intercept form to model the cost in dollars, y, for x refills.

Answers

Answer:

3.50= 1x + i dont know B

Step-by-step explanation:

the equation is y=mx + b

The equation in slope-intercept form to model the cost in dollars, y, for x refills is 3.50= 1x + b.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given that movie theater sells popcorn in a reusable bucket for $3.50. They offer refills for $1.00 each.

The value of y  is popcorn cost = $3.50

The slope will be $1.00

Therefore, the equation is y=mx + b

Plug the values;

3.50= 1x + b

Hence, the equation in slope-intercept form to model the cost in dollars, y, for x refills is 3.50= 1x + b.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.

Which system of equations can be used to find the price in dollars of each large candle, x , and each small candle, y ?

Answers

Step-by-step explanation:

Plug in x where you see large candle and y for small candle

64= 3x + 4y

64+4= x+ 8y

I need a answer asap What letter is located at approximately

22
22
?

A E

B F

C G

D H





Answers

Answer:

From what I'm interpreting, you are asking for the sqrt of 22, which then the answer would be point F

Step-by-step explanation:

knowing sqrt 25 = 5 and sqrt of 16 = 4, and knowing 22 is closer to 25, it can be estimated that sqrt of 22 would be closer to 5 however still less than it.

Wynona buys some new boots that are priced $85. 79. She gets successive discounts of 10% followed by 5% off on the boots. The purchase price of Wynona’s boots is _____ of the original price. A. 84% b. 84. 5% c. 85% d. 85. 5% Please select the best answer from the choices provided A B C D.

Answers

By applying basic concept of percentage we got that  if She gets successive discounts of 10% followed by 5% off on the boots. The purchase price of Wynona’s boots is 85.5%

What is percentage?

Percentage is a number expressed as a fraction of 100.

Here given that Wynona buys some new boots that are priced $85. 79. She gets successive discounts of 10% followed by 5% off on the boots.

First she get 10% discount so she has to pay only 90% amount of original

Now she is getting 5% more off

She has to pay 95% of 90%

so  purchase price 0.95[tex]\times[/tex] 90%

= 85.5%

By applying basic concept of percentage we got that  if She gets successive discounts of 10% followed by 5% off on the boots. The purchase price of Wynona’s boots is 85.5%

To learn more about percentage  visit :https://brainly.com/question/19247356

Solve using substitution.

4x + y = –11
4x + 4y = 16

Answers

Answer:

1)  -11/4 - y/4

2) x= 4 - y

Step-by-step explanation:

Answer:

1. x = - 11/4

2. x = 4

What is an equation of the line that passes through the points (5,2) and (-5,-6) PLEASE ANSWER

Answers

Answer:

y = 4/5 x - 2

Step-by-step explanation:

Find for slope first:

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

= [(-6) - 2] / [(-5) - 2]

= -8/-10

= 4/5

Solve for b. Use (5, 2)

y = mx + b

2 = 4/5 (5) + b

2 = 20/5 + b

2 = 4 + b

2 - 4 = b

-2 = b

Substitute the value of m and b.

y = mx + b

y = 4/5 x + (-2)

y = 4/5 x - 2

what goes in the boxes?

Answers

Answer:

8 10/3

MARK ME AS BRAIN LIESTS

What is the coefficient in the algebraic expression 7 xy2 ?

Answers

The answer is 7!

The number In front of the variable is always the coefficient.

how many melimeter in 15 kilometre​

Answers

15,000,000 millimeters in 15 kilometer.

The floor of a birdcage is a circle with a circumference how about for 7.1 inches what is a diameter of the birdcage floor

Answers

Answer:

3.15

Step-by-step explanation:

Help they need to get done in 10 minutes

Answers

Answer:

1) 80

2) 44

3) 93

4) 47

5) 29

6) 74

7) 60

8) 110

9) 50

Step-by-step explanation:

Each triangle MUST add up to 180, meaning you add the two values given and then subtract that answer from 180 to get the unknown value.

What are the average high and low temperatures (in degrees Celsius) for Nuuk in January?

Answers

Answer:

6 degrees high/-10 degrees low

Step-by-step explanation:

Help pls i am confused

Answers

Answer:

function two

Step-by-step explanation:

it is the only one with change

Alexandra has a stand in the marketplace where she sells ground cumin. She has a fixed amount of weekly expenses, and she sells her cumin for \$7.20$7.20dollar sign, 7, point, 20 per kilogram. If she sells 909090 kilograms of cumin, her weekly net profit is \$414$414dollar sign, 414.

Answers

Answer:

Alexandra's weekly expenses is $234

Step-by-step explanation:

Selling price of 1 kg cumin = $7.20

She sells amount of cumin = 20 kg

Selling price of 90 kg cumin = 90 \times 7.20

Selling price of 90 kg cumin =648

We are given that his weekly profit is $414

We are supposed to find his weekly expense

So, Expense = SP - Profit

Expense = 648-414

Expense=$234

Hence Alexandra's weekly expenses is $234

-6(6x+8)= -10 simplified

Answers

-36x - 48 = -10

-36x - 36 = 0

Then if you want to solve for x:

-36 ( x + 1) = 0

(Dividing both sides by -36 cancels it out bc zero divided by anything is still zero)

x + 1 = 0

x = -1

Select the correct answer.

Last year, the school library had a total of x books. Over the summer, the library acquired another 46 books and now has a total of 1,191 books. Which equation could be used to find x, the number of books the library had last year?


A) 46x = 1,191

B) x − 46 = 1,191

C) x + 46 = 1,191

D) 1,191 + x = 46

Answers

Answer:

its x + 46 = 1,191 just took the test

Step-by-step explanation:

Answer:

x+ 46 = 1,191

Step-by-step explanation:

Ratios

Mrs. Gildner took a survey of the 30 students in her math class. Of the 30 students surveyed, 18 of them said that chocolate is their favorite ice cream flavor. 4 students listed vanilla as their favorite flavor. The remaining students indicated that strawberry is their favorite kind of ice cream.


What is the ratio of chocolate to strawberry? SIMPLIFY if possible!

Answers

Answer: 9:4

Step-by-step explanation: Total is 30. Add 18 and 4 to see how many students were already surveyed, (22) and then subtract that from 30. Then you get 8, so the ratio is 18:8. Then simplify by dividing both numbers by 2, so you get 9:4. Hope that helps :)

Identify the value of y.
9y+6 = 3y+3+7+26

Answers

Answer:

y=5

Step-by-step explanation:

9y+6 = 3y+3+7+26

arrange the equation so all values with y are on one side, and all regular numbers are on the other side. Make sure you change the sign when changing sides.

9y - 3y = 3 + 7 + 26 -6

6y / 6 = 30 / 6

Now divide both sides by 6 in order for y to be alone.

y = 5

4. 30 +-30 = 0.
=
a. Write another sum of two numbers that equals 0.
b. Write a sum of three numbers that equals 0.
c. Write a sum of four numbers that equals 0, none of which are opposite
Please help!?

Answers

Answer:

50+-50+0

Step-by-step explanation:

adding 50 to -50 and add 0 =0

What is the unit rate for 4 candy bars for $3

Answers

Answer:

$1.33

Step-by-step explanation:

divide 4÷3

and you get

1.333333333=

$1.33

PLEASE HURRY
If f(x) = 0, what is x?
0 only
-6 only
-2, 1, or 3 only
-6, -2, 1, or 3 only

Answers

i hv no idea about this one sorry

Answer:

C. -2, 1, 1, and 3 only

A person can pay $7 for a membership to the science museum and then go to the museum for
just $1 per visit. What is the maximum number of visits a member of the science museum can
make for a total cost of $46? Write an equation and solve. Show all work!

Answers

Answer:

39 visits.

Step-by-step explanation:

In order to solve, we must add the cost of the membership and the cost of the visits to get the sum of 46.

$7 is the cost of the membership, so thats going to be the first number we add. If you revist the museum, you will need to pay $1. Now to save time and space, I will not continusely write $1 until we get to 46, but instead, subtract 46 from 7. The difference we get will be the number of visits. I will be using the variable v to represent the difference/maximim number of visits a member of the science museum can make for a total cost of $46.

Current Equation: 7+1v = $46.

46 - 7 = 39.

7+1(39) = 46

I agree with the previous answer. It indeed is 39.

46-7=39 (7 - price of the membership)

39/1=39 (1 - price of the tickets)

Solve the inequality
29-2(3-5w) 13

Answers

Answer:

29-2(2w)13

29-2(26w)

29-52w

w=52÷29

Please help 100 points and if best answer= brainliest.

Answers

Answer:

Step-by-step explanation:

Outlier mean a data point that is far away from the rest of points.

From the plots, the one at the lower left corner has a data point far left of the rest of points so that is the one with an outlier.

i believe the bottom left one is the answer! if not i’m sorry i will correct myself

Convert the following equation into standard form. ​

Answers

[tex]y = - \frac{4x}{9} + 3[/tex]

Move the expression to the left-hand side and change its sign

[tex]y + \frac{4x}{9} = 3[/tex]

Multiply both sides of the equation by 9

[tex]9y + 4x = 27[/tex]

Use the commutative property to reorder the terms

[tex] \underline{ \underline{4x + 9y-27 = 0}}[/tex]

Standard form of a line:-

Ax+By+C=0

[tex]\\ \rm\Rrightarrow y=\dfrac{-4x}{9}+3[/tex]

[tex]\\ \rm\Rrightarrow y=\dfrac{-4x+27}{9}[/tex]

[tex]\\ \rm\Rrightarrow 9y=-4x+27[/tex]

[tex]\\ \rm\Rrightarrow 4x+9y-27=0[/tex]

If QR=x+29 and PS=x–16, what is the value of x?

Answers

Answer: 61

By the triangle midsegment theorem, 2(SP)=RQ.

So, 2(x-16)=x+29, meaning x=61.

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