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?

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

[tex] - 1[/tex]

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.

Answer:

44

Step-by-step explanation:

4(9) + 8  

=36 + 8

=44

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]

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 :)

Answer:

the y-intercept

Step-by-step explanation:

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.

Answer:

2/4

Step-by-step explanation:

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

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

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)

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

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 :)

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 :>

Answer:

The slope is 8

Step-by-step explanation:

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

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

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

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.

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

Answer:

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

Answer:

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

Answer:

Stored energy

Step-by-step explanation:

[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?

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

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

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.