Finite geometric series:

Hi, I want to ask a question, is about... for example, take the sequence 1,2,4,8,... Notice that each number is twice the value of the previous number. So, a number in the sequence can be represented by the function f(n) = 2^n-1. One way to write the sum of the sequence through the 5th number in the sequence is E^5 n-1^2n-1. This equation can also be written as S5 = 2^0 + 2^1+2^2+2^3+2^4. If we multiply this equation by 2, the equation becomes 2(S5) = 2^1+2^2+2^3+2^4+2^5.

What happens if I subtract the two equations and solve for S5? Can I use this information to come up with a way to find any geometric series Sn in the form E^a n-1^bn-1?

Answers

Answer 1

Answer:

You can, however i’m warning you it will definetly be difficult

Step-by-step explanation:


Related Questions

In July, Clare rode her bike 15 miles in 72 minutes, at her constant speed. a How long did it take her to ride 10 miles? Show or explain your thinking.

Answers

Answer: x = 48 minutes

Step-by-step explanation:

15 miles/72 min = 0.208 miles/min

(0.208 miles/min)x = 10 miles

x = 48 minutes

[tex]-\sqrt{3} + \sqrt{(\sqrt{3}-1)^2 }[/tex]

Answers

[tex] - 1[/tex]

hope it helps

see the attachment for the explanation

Q) [tex]-\sqrt{3} + \sqrt{(\sqrt{3}-1)^2 }[/tex] = ?

→ [tex]-\sqrt{3} + \sqrt{(\sqrt{3}-1)^2 }[/tex]

→ [tex]-\sqrt{3} + {\sqrt{3}-1 }[/tex]

→ [tex](-\sqrt{3} + \sqrt{3})-1[/tex]

→ -1 is the final answer.

Grayson is planning to be out of town for the day, so he asks a friend to dog-sit his 3 dogs.
Each dog eats 0.5 pounds of food every day. If dog food is sold in 12-ounce cans, how many
cans should Grayson leave for the time he is away?

Answers

Answer:

1 12 ounce can would last 18 days, I don't know how long he is planning on leaving his dogs

can someone please assist me in these equations!?!?! pls​

Answers

1. h= 0
2.d= -2
11. x= -5/11
12.p= -1

4 ^ 5 (45 - 15) 3 / 12

Answers

Answer:

2/4

Step-by-step explanation:

if x+y=5,and xy=10, find the value of x2+y2​

Answers

Answer:

Step-by-step explanation:

x+y=10-----(1)

xy=5------(2)

dividing (1) by(2)... we get!

x/y+ y/x=10/5

=>2

we have :[tex]x^{2} +y^{2} = x^{2} +y^{2} + 2xy -2xy = (x+y)^{2} -2xy = 5^{2} -2.10 =25-20=5[/tex]

ok done. Thank to me :>

3x-9y=-7 ; 2y-6x=8 elimination

Answers

Answer:

x=-29/24

y=3/8

Step-by-step explanation:

3x-9y= -7 ---A

2y-6x= 8----B

multiply eq A by 2

6x-18y=-14

-6x+2y=8

Add both equations, so you eliminate x since 6x+(-6x) = 0

-18y+2y= -16y

-14+8=-6

so you have

-16y=-6

y=3/8

now substitute this back to eq B, (you can use eq A as well if you like)

2(3/8)-6x=8

3/4-6x=8

-6x=29/4

x=-29/24

PLEASE HELP

In Triangle WXY, angle X is equal to angle Y, WX is equal to 9x-11, XY is equal 4 points

to 4x+1, and WY is equal to 7x-3, find x and the measure of each side

Answers

Answer:

x = 4WX = WY = 25XY = 17

Step-by-step explanation:

The triangle is isosceles with side WX equal to side WY:

  WX = WY

  9x -11 = 7x -3

  2x = 8 . . . . . add 11-7x

  x = 4

Then the side measures are ...

  WX = WY = 7(4) -3 = 28 -3 = 25

  XY = 4(4) +1 = 16 +1 = 17

7.
Rewrite the expression (4x² + 5x) ²-5(4x ² + 5x) – 6 as a product of four linear factors.

Answers

Answer:

(x+2)(x+1)(4x+1)(4x-3)

Step-by-step explanation:

(4x² + 5x)² - 5(4x² +5x) - 6

= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6

= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)

= (4x²+5x-6)(4x²+5x+1)

= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)

= (4x(x + 2) - 3(x + 2))(4x(x+1) +1(x+1))

= (x+2)(4x-3)(x+1)(4x+1)

PLZZZZZZZZZZZ HELP 1000 POINTS AND BRAINLIEST

Answers

Answer:

you would have to subtract the points a and b to get question a. And for c, you would have to mark it on a graph in order for it to show. I am pretty sure this is how you do it. Sorry I tried my best, plz don't come at me if it is wrong.

Step-by-step explanation:

Answer:

you need to subtract the points a and b to get the question a.  for c, you need to mark it on a graph in order for it to show. I sure this is how you do it

i tried my best

hope it helps

Jessie typed the first 300 words of her essay in 12 minutes. Then she got tired and
typed the remaining 300 words in 15 minutes. What was the average speed of Jessie's
typing?

Answers

Answer:

whats 12x15

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

300/12 = 25

300/15 = 20

25 and 20 average = 22.5

Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x?

Answers

Answer:

x less than or equal to 16.6

Step-by-step explanation:

50 divided by 3 is 16.6

since Jill wants 50 square feet as the maximum area x can be less than 16.6.

plz help!I hope you have a wonderful day!!

Answers

18. It would be the second graph. The third graph is eliminated as the boy takes a time period to shave, which means there should be a constant point (horizontal line) right after the first incline. The first one is eliminated as the boy takes a bath which requires another constant point in the graph.

19.
C
E
D
A
B

12
For what value of n does 36
G
- 2167

Answers

Answer:

n=-3/2

So B on edge

[tex]\\ \sf\longmapsto (\dfrac{1}{36})^n=216[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{36^n}=6^3[/tex]

[tex]\\ \sf\longmapsto 36^{-n}=6^3[/tex]

[tex]\\ \sf\longmapsto 6^{-2n}=6^3[/tex]

[tex]\\ \sf\longmapsto -2n=3[/tex]

[tex]\\ \sf\longmapsto n=\dfrac{3}{2}[/tex]

Which product is greater than 63?

7/8 x63
3/2 x 63
4/5 x 63
2/3 x 63

Answers

Answer:

The answer is 3/2 x 63

Step-by-step explanation:

3/2*63 = 189 / 2 = 94.5

7/8*63 = 441 / 8 = 55.125

2/3*63 = 126 / 3 = 42

4/5*63 = 252 / 5 = 50.4

Therefore the answer is 3/2 x 63 because it’s product is greater than 63.

please answer the question and how you answered it NO LINKS AND NO WEBSITES​

Answers

Answer:

y= 27-6x

Step-by-step explanation:

For the first equation you add 6x on both sides which will leave us at

-y=-27+6x. You then divide both sides by a -1 to make the y positive so then it'll give us the equation y= 27-6x . For the second equation subtract 18x on both sides which will leave us with the equation 3y= 81-18x . Divide each side by 3 to get the y by itself. Then the equation will be y=27-6x

Choose the two expressions that are equivalent to 6.5 ÷ 1.3.
A 65 ÷ 13
B 65 ÷ 130
C 650 ÷ 130
D 650 ÷ 13

Answers

Answer:

A & C

Step-by-step explanation:

To find the two expressions that are equivalent to 6.5 ÷ 1.3, you need to solve all of them until you get the two expressions that have a quotient of 5.

Let's begin solving!

65 ÷ 13  = 5

So now we know that A is one of our answers

65 ÷ 130 = 0.5

Not one of our answers because the quotient is not 5

650 ÷ 130 = 5

This is our other answer! We don't need to solve D because we only needed to find two expressions which are A and C.

Hope this helps you :)

Answers are A and C.

6.5 ÷1.3 = 5

A. 65 ÷ 13 = 5 so yes

B. 65 ÷ 130 = .5 so no

C. 650 ÷ 130 = 5 so yes

D. 650 ÷ 13 = 50 so no

in the equation f(x) = 5x + 6,6 is called?

Answers

Answer:

the y-intercept

Step-by-step explanation:

Answer: y-intercept

Step-by-step explanation:

Since f(x) = 5x + 6 is in the slope-intercept form (y = mx + c), then that would make 6 the y-intercept.

Write the inequality for the situation. Penny has 7 dollars. Fred has fewer dollars than Penny. Left F=Fred

Answers

Answer:

7 > F

Step-by-step explanation:

Penny has 7 dollars. Fred has fewer dollars than Penny. Left F=Fred

7. Fred has fewer dollars than Penny. Left F=Fred

7 > Left F=Fred

7 > F

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

A triangle has an area of 160 square inches and the base of the triangle is 40 inches. What is the height of the triangle?

Answers

Answer:

8 inches

Step-by-step explanation:

h = 2 A/b

A = 160

b = 40

160/40 = 4

2 x 4 = 8 inches

The height of the triangles is 8in.

hope this helps!! p.s. i really need brainliest :)

Which of the following is the estimated product of 45 and 50? no links please

Answers

Answer:

3500

Step-by-step explanation:

Hello, you need to eliminate fractions in numbers in such questions. So you have to round. If we round the number 45, we get 50. We don't need to round 50 because 50 has no fractions.

1 - 45 - - > 50

2- 50 - - > no change

3- 50 × 50 = 50² = 3500

(Also, if someone sends you an answer with a link when you ask a question, don't click on that link. I came across it and analyzed it, the link is not secure. To stay safe, you can scan unfamiliar links with virustotal.com.)

Stay safe :)

what is the slope of the line that contains these points x- -1,0,1,2 y- 10,18,26,34

Answers

Answer:

The slope is 8

Step-by-step explanation:

4/5 x 2/35 I need help pls!

Answers

Answer: 8/175

Step-by-step explanation:

Answer: 8/175

Step-by-step explanation: to multiply fractions, multiply both numerators first then the denominators.

4x2=8

35x5=175

What are the slope and the y-intercept of the line shown in the graph?

A. y-intercept = 2 and slope = -3
B. y-intercept = 2 and slope = 3
C. y-intercept = 3 and slope = 2
D. y-intercept = 3 and slope = 2

Answers

Answer is A :) because it is rise over run

levi finds a skateboard that sells 139.99. the store charges 6% sales tax about how much money will he have to spend for his skateboard?

Answers

The amount Levi spends on this skateboard is $148.39.

Tax is an amount levied on goods and services by the government. Taxes increases the price of goods and services.

The amount Levi spends on this skateboard = value of the tax + cost of the skateboard

value of the tax = 6% x $139.99

0,06 x $139.99 = $8.40

The amount Levi spends on this skateboard = $8.40 + $139.99 = $148.39

To learn more about taxes, please check: https://brainly.com/question/19540033

the angle bisectors of a triangle intersect at the

Answers

Answer:

The incenter

Step-by-step explanation:

The three angle bisectors of the angles of a triangle meet in a single point, called the incenter

Evaluate the expression when m=8 and n=9.
4n+m


Answers

Answer:

44

Step-by-step explanation:

4(9) + 8  

=36 + 8

=44

Please help!!! 30 points and brainliest!!

Solve for ‘x’
-6x = -5x - 9

Answers

[tex]-6x = -5x -9 \\\\\implies -6x +5x = -9 \\\\\implies -x = -9 \\\\\implies x =9[/tex]

(btw when it just has the "-" that is a line to separate them and for the -x = -9, they are divided by -1 sorry if that confused you before.)

Answer:

x = 9

Step-by-step explanation:

-6x = -5x -9

+5x   +5x

----------------

-x = -9

---    ----

-1      - 1

-------------

x = 9

Hope this helps!!^^ plz mark brainliest?

Potential energy is described as

Question 1 options:

Stored energy


Decreasing energy


Movement


Friction

Answers

Answer:

Stored energy

Step-by-step explanation:

in the diagram below M is the midpoint of KL​

Answers

What are you asking? Could you clarify the questions bit more?
Other Questions
A restaurant bill is $25.80. Howmuch is a 20% tip for this bill (NOTthe total)? 1. 543.5 = _______ ft _________ in Water leaving clouds in various forms is known as humidity- Which fraction converts to a repeating decimal number? 3/4 x 2 5/6 2 + 34 1. What is cultural control? What are the practices done in this approach? What are the advantages and disadvantages of cultural control. 2. Do you think cultural approach is an effective approach in managing pest? Justify your answer 3. What is the significance of sanitation in pest management? What are the advantages of this approach? Jayla made 36 sugar cookies for the class party. Before you got to class the teachers ate 9 cookies, and then your classmates ate 1/3 of the remaining cookies. How many cookies are left for you to eat? Sinnimo de privar en 4 letras convert this fraction to a decimal 1/200 How many cl- ions are there in 2. 50 kg of barium chooride. (MC)Ginny the Dog: A Hero Among HeroesHeroes come in many shapes and forms, but they all do uncommon things in unusual situations. They stand out. We've all heard stories of hero dogs that save their owners. One dog saved his owner by fighting off an alligator. Another woke his sleeping family when a fire broke out in its home. Still others rescue injured or needy people in dangerous situations. One dog even managed to call 911 when his owner suffered a seizure. But one dog, named Ginny, performed heroic acts on a regular basis, not just once or twice in unusual situations. Because of her kindness, many lives were saved.Ginny the dog was adopted by her owner from an animal shelter in 1990. Within days of bringing her home, her owner discovered that Ginny seemed to be able to find cats in distress. On her daily walks, Ginny would often find abandoned, trapped, or endangered kittens or cats that needed rescuing. In one such episode, Ginny found a group of kittens trapped in a pipe. She managed to let her owner know, by scratching and barking at the pipe, that something needed her help. Because of Ginny, all the kittens were saved.Almost daily, Ginny would find cats that needed rescuing or, in some cases, a little love. Ginny's owner reported that when Ginny saw a cat on their walks, she would pull away from her leash and run after the cat. Instead of chasing cats like most dogs, Ginny would nuzzle and lick them, giving them comfort. Because of Ginny, her owner soon found he was caring for hundreds of wild neighborhood cats. In addition, Ginny pushed her owner to adopt more than 20 cats, most of whom had permanent injuries or special needs."When we would go to the pound to drop off donations," her owner said, "Ginny always found the cat that was blind or deaf or hurt in some way. She would sit down in front of the cat's crate and not move until we brought it home."What makes a dog behave in such a kind way? Some believe Ginny had a very strong mothering instinct. But how could she tell when a cat was deaf? How did she know which cats needed love and attention? Regardless of how she did it, Ginny rescued hundreds of cats in her life and set an example we all can follow.What is the main purpose of including the story of Ginny wanting to care for blind or deaf cats? To create awareness of the need to give to animal shelters To explain the owner's role in training Ginny To show that Ginny was aware of cats with special needs. To suggest more attention be given to special-needs pets What does this mean about how Americans view the government vs. private companies?Please help this is due today. And I really need help. How many total colonies did Stephen F. Austin establish? In time signs, everything that moves back or behind your body indicates which time frame? GEOMETRY Find the the area of the polygon with the given vertices.C(1,1) D(1,4)E(4,4)F(4,1)pls give answerworth 100Pls help i will give brainliest! which nihilist philosopher famously spoke of the death of god? drinking too much water can result in dilution of sodium in the blood, a condition known as _________. what are some advantages and disadvantages in acid rain management, in crop fields the title of the passage 'The power of determination' is appropriate . to what extent do you agree or disagree with this statement? justify your response For an art project you are using a piece of cloth out in the shape of an right triangle Whats the area of the cloth?