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

Solve the problem.
Determine the resultant effect of three people pulling on a car as shown in the drawing
a = 75.0 lb, b = 77.0 lb, c = 52.0 lb, d = 32°, e = 22°

Answers

So we know that the answer is 5.1 because the 77.0 you could add and get 22

Which option shows the equation for the line in the graph

Answers

Answer:

y=-3x-10

Step-by-step explanation:

The y-intercept is -10 and the line is going in a negative direction. Meaning the slope will be negative.

Looking at the options, you can tell that the answer will in fact, be y=-3x-10

Or to solve, -2,-4 and -5,5

5--4 to get 9

-5--2 to get -3

9/-3 gets you -3. The slope of the line is -3. And you can notice that the intercept is -10.

This gets you y=-3x-10

solve 3(2x - 3) + 4x = -59

Answers

Answer:-5

Step-by-step explanation:

Apple pie is my favorite. I bake a lot of it, last year I got a little carried away and had 7 1/4 pies left over. I cut the pie into pieces to freeze and save for later. Each piece as 1/8 of a whole pie. How many pieces of pie did I freeze?

Answers

Answer:

58

Step-by-step explanation:

You would have to turn 7 1/4 into a whole fraction.

Do,

7 * 4 = 28

28 + 1 = 29

Your new fraction would be,

29/4

Now you have to make them equal denominators as 1/8.

Lets see,

Now multiply 4 * 2 is 8.

So multiply 29 times 2.

Which is 58.

Your new fraction is,

58/8

So therefore you would have 58 pieces.

Estimate 4732 divided by 13

Answers

Answer:

364

Step-by-step explanation:

13÷4732= 364

I hope it help^^

Solve the slope for the table.

Answers

the answer to your question is slope is 6

In the diagram, m and Q is the center of the circle. Name two triangles that are congruent.

Answers

Answer:

Central Angle - an angle formed in the center of a circle by the meeting of two radii. Chord - a straight line connecting two points on an arc or circle.

8 pages

Step-by-step explanation:

In the diagram, m∠RQY = m∠WQT = 50° and Q is the center of the circle. Name two triangles that are congruent. answer choices. ∆RQY ≅ ∆YQW.

In the diagram, AB passes through the center C of the circle and DC⊥AB. Name two ... If two triangles are congruent, then their perimeters are the same.

50 point question. Please help my math grade is way to low

Answers

1/4g = 1/2h 1/2g = 1h 2h = 1g 3h = 1 1/5 g
Hope this helps + hopes this is correct

Answer:

1 1/2

Step-by-step explanation:

it takes 15 min to leak 1/8 just multiple the min to 3 hours which then you'll get 1 1/2 gallons that will leak at 3 hours

A rectangle has a length of 10 3/16 inches and a width of 6 7/8 inches. what is the perimeter of the rectangle?​

Answers

Answer:

P = 34 1/8 inches

Step-by-step explanation:

P = 2l + 2w

P = 2(10 3/16) + 2(6 7/8)

convert 10 3/16 to an improper fraction:  163/16

convert 6 7/8 to an improper fraction:  55/8, which equals 110/16

P = 2(163/16) · 2(110/16)

P = 326/16 + 220/16

P = 546/16

P = 34 1/8 inches

Students in Mrs. Marquez's class are watching a film on the uses of geometry
In architecture. The film projector casts the image on a flat screen as shown in
the figure. The dotted line is the bisector of each congruence theorem to prove that need to know.

Answers

The given information on the diagram of the projector and the image can

be used to prove the congruency of the triangles.

∠ABD, ∠BDA, and side [tex]\overline {AD}[/tex] on ΔABD are congruent to ∠CBD, ∠BDC, and

segment [tex]\overline {CD}[/tex] on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem

Reasons:

The figure of the projector that casts an image on the screen is attached.

The bisector of the line [tex]\overline {AC}[/tex] = [tex]\overline {BD}[/tex]

From the drawing, we have;

∠ABD ≅ ∠CBD by equal number arc mark.

The two column proof is therefore, presented as follows;

Statement [tex]{}[/tex]                                            Reason

[tex]\overline {BD}[/tex] is perpendicular bisector of   [tex]{}[/tex][tex]\overline {AC}[/tex]   Given

[tex]\overline {AD}[/tex] = [tex]\overline {CD}[/tex]   [tex]{}[/tex]                                             Definition of bisected line [tex]\overline {AC}[/tex]  

∠BDC = 90°       [tex]{}[/tex]                                      [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]  

∠BDA = 90°                         [tex]{}[/tex]                    [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]  

∠ABD ≅ ∠CBD [tex]{}[/tex]                                       Given on the diagram

ΔABD ≅ ΔCBD  [tex]{}[/tex]                          by Angle-Angle-Side AAS Congruency rule

The Angle-Angle-Side, AAS, Congruency postulate states that two

triangles are congruent where two adjacent angles and a non included side

on one triangle are congruent to the corresponding two adjacent angles

and a non included side on the other triangle.

Learn more here:

https://brainly.com/question/15274307

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

I'd say the answer is cube of a binomial, because when something is specifically raised to the 3rd power, that number is being cubed. (When you square a number it has an exponent of 2, whereas when you cube a number it has an exponent of 3.)

Step-by-step explanation:

Hope this helps :)

solve for x

9 = x/12

Answers

Answer:

X=108

Step-by-step explanation:

Step-by-step explanation:

I have solved the answer in the attached image please ask if you have any query

On the planet Tott, there are 7 rews to every 6 hopts. If farmer Boondin has 40 hopts on her frenk farm, how many rews are on the farm?



HELP ME PLEASE!!! ITS DUE TONIGHT​

Answers

Answer: They know approximately how many hours they will need to seed and harvest and can plan

Step-by-step explanation:

15 points. PLZ HELP!!! Slope intercept Form. Will mark Brainliest!!1

Answers

Y=16x
The b is 0 so no need to put it in the equation.
The slope is 16/1 which is 16
y= 4x , y intercept is 0 because it crosses the y-axis at 0,0

The quotient of eight and the number H is written as?

Answers

Answer:

8/h

Step-by-step explanation:

Quotient means division, so basically you are dividing 8 by h.

Answer:

8/H

Step-by-step explanation:

8/H - Just divide 8 by H

What portion of the population are eligible voters and over the age of 24? one-fourth one-third one-half two-thirds.

Answers

The portion of a population is simply a fraction of the population.

The required parameters are missing.

So, I will solve this question using the following parameters

Population = 600Eligible voters over the age of 24 = 400

So, the portion of the population that are eligible voters over the age of 24 is calculated by dividing the number of eligible voters over the age of 24 by the overall population.

So, we have:

[tex]\mathbf{Portion= \frac{400}{600}}[/tex]

Simplify the fraction

[tex]\mathbf{Portion= \frac{2}{3}}[/tex]

2/3 means two-third

Hence, the portion of the population that are eligible voters over the age of 24 is two-thirds

Read more about portions and fractions at:

https://brainly.com/question/322203

Answer: Option D, “two-thirds”

Step-by-step explanation:

edge 2022

What is a negative control.

Answers

Answer:

Negative controls are particular samples included in the experiment that are treated the same as all the other samples but are not expected to change due to any variable in the experiment.

Step-by-step explanation:

this is homework and can someone do this because I have more homework to do.

Answers

Answer:

So the answer is the type of graph this is it is a tsunami graph telling about

Step-by-step explanation:

the percentage of it

The answer to this question

Answers

Answer:

I don't know the answer sorry

3x + 6 = 126


thanks me later

Simplify. (−5)^5(−5)^−6

Answers

Answer:

Step-by-step explanation:

In exponents multiplication, if bases are same, add the powers

[tex]a^{m}*a^{n} =a^{m+n}\\\\\\(-5)^{5}*(-5)^{-6}=9-5)^{(-5) + (-6)} = (-5)^{-11}[/tex]

Answer:

Your answer would be:
-1/5 or -0.2




Step-by-step explanation:

Have a great rest of your day
#TheWizzer

How to turn improper fractions into mixed numbers.

Answers

Answer:

To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator. Let us see an example of this conversion

Step-by-step explanation:

Convert 23/4 into a mixed fraction

solve pls brainliest

Answers

hello there! 20 square yards. the first upper half of the “L” shape garden is 8 yards (2 x 8). the lower half is 12 yards(6 x 2). hope that helped ☺️.

Answer:

Area of the garden is 20 sq. yards

Step-by-step explanation:

A = LW

(The whole figure  which is a 6 by 6) - (area of the pool) = The area of garden

                     (6 × 6) - (4 × 4)

                      36 - 16 = 20

A 10 kg computer accelerates at a rate of 5 m/s2.how much force was applied to the computer

Answers

Answer:

50 N

Step-by-step explanation:

Given :-

Mass = 10 kg

Acceleration = 5 m/s²

To find

Force applied

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 10 × 5

We have the final answer as

50 N

(Hope this helps can I pls have brainlist (crown)☺️)

Question :-

A 10 kg computer accelerates at a rate of 5 m/s2.how much force was applied to the computer?

Required Solution :-

The force applied on the computer is 50 N.

Provided that :-

The mass of the computer is 10 kg The acceleration is 5 m/s²

To Calculate :-

The force applied on the computer.

Using Formula :-

Force = Mass × Acceleration

Calculation :-

[tex]\purple{\longrightarrow \sf Force = Mass \times Acceleration}[/tex]

[tex]\longrightarrow \sf Force = 10 \; kg \times 5 \; m/s^2[/tex]

[tex]\longrightarrow \sf Force = 50 \; kgm/s^2[/tex]

[tex]\longrightarrow {\pink{\underline{\underline{\sf{ Force_{(Applied )} = 50 N }}}}}[/tex]

Henceforth :

The force applied on the computer is 50 N.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

wuts x im so confuseded 15 points uwu
−2/9x+2.7=4

Answers

Answer:

[tex]x=-5.85[/tex]

Step-by-step explanation:

[tex]-2/9x+2.7=4[/tex]

Subtract 2.7 on both sides

[tex]-2/9x=1.3[/tex]

Multiply by 9

[tex]-2x=11.7[/tex]

divide by -2

[tex]x=-5.85[/tex]

Find the perimeter. Simplify your answer.

Answers

Answer:

25x - 4

Step-by-step explanation:

10x + 2 + 8x + 7x - 6

= 25x - 4

m= -2 b=15 write the equation of the line​

Answers

Answer:

y=-2x+15

Step-by-step explanation:

Hi there!

We are given that m=-2, b=15, and we want to write the equation of the line, given these values

We can write the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, since we are given the values of both m and b.

Since we know the values of m and b (-2 and 15 respectively), we can substitute those numbers in as the variables they equal to.

Substitute -2 as m:

y=-2x+b

Substitute 15 as b:

y=-2x+15

Hope this helps!

What is the image of the point (- 6, 1) after the reflection over the line y = 2 ?
A. (- 4, 1)
В. (10, 1)
C.(- 6, 3)
D.(- 4, 3)

Answers

It will be c. (-6, 3)

The image point is (-6, 3).

What is the image point?

According to tradition, the "image" of point P is the reflection of point P across the line, which is designated by the term P' (pronounced "P prime").

The reflection of point (a,b) with respect to line y=k is point (a, 2k -b)

To find the image of the point (-6 ,1);

The formula:

(a, b) → (a, 2k-b)

Here a=-6, b = 1, k = 2

therefore (-6, 1) → (-6, 2×2 (-1))

= (-6, 3)

Hence, the answer is (-6, 3).

To learn more about the image point;

https://brainly.com/question/28361327

#SPJ2

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Answers

Answer:

6 and 28

Step-by-step explanation:

Question 8: Since the sum is atmost 16, the largest possible value of the number is available when the sum is 16. Then, we have 2x + 4 = 16, and that equals 2x = 12, which leads to x = 6.

Question 9. Since your bank value has to be above 525, and 814 dollars keep decreasing 10 each day, we know that it will stop at 534, because having 524 dollars will be below 525. Now, 814 - 534 = 280, and since you pay 10 every day, 280/18 = 28 days.

40 cans of food. 30% of cans damaged. how many cans were damaged?

Answers

12 were cans were damaged

Answer:

12 cans were damaged

EXPLANATION:

Cause When You Divide 4 To Divide 40, It Gives You 100% Calculation, And Subtract 30% from 100% it gives you 70%, which is 28 cans of food

Round 4.789473684 Please
Please hurry and actually help!

Answers

Answer:

4.79 or 4.789

Step-by-step explanation:

the first answer is if you need to round to the nearest hundredth, the second if you need to round to the nearest thousandth. you didn't tell us which was correct so I put both

4.79 if you’re rounding to tenths
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