. If 10 + 30 + 90 + ⋯ = 2657200, what is the finite sum equation? Include values for 1, , and

Answers

Answer 1

The value of the finite sum equation is,

⇒ S = 5 (3ⁿ - 1)

We have to given that;

Sequence is,

⇒ 10 + 30 + 90 + ..... = 2657200

Now, We get;

Common ratio = 30/10 = 3

Hence, Sequence is in geometric.

So, The sum of geometric sequence is,

⇒ S = a (rⁿ- 1)/ (r - 1)

Here, a = 10

r = 3

Hence, We get;

⇒ S = 10 (3ⁿ - 1) / (3 - 1)

⇒ S = 10 (3ⁿ - 1) / 2

⇒ S = 5 (3ⁿ - 1)

Learn more about the geometric sequence visit:

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Related Questions

Do 1/4 and 4/16 form a proportion

Answers

Answer:

There is a difference between FRACTION and PROPORTION.

Explanation of fraction:

On a card board sheet draw a square or rectangle or any simple shape of your choice. Divide your preferred shape into 4 equal parts. One portion or one part of the divided shape is 1/4. Three (3 ) parts of the divided shape equal 3/4. Also if the shape is divided into twenty (20). One (1) part is 1/20, sixteen(16) parts equal 16/20.

Explanation of Proportion:

If an item is shared in a proportion of 3:4,it means that A gets 3/(3+4) of what is to be shared , that is 3/7 of the bulk item to be shared. B gets 4/(3+4) of what is to be shared, that is 4/7 of the bulk item to be shared.

Also if an item is shared in a proportion of 16:20 , A gets 16/(16+20)=16/36 of Bulk item while B gets 20/(16+20)= 20/36 of the Bulk item being shared.

In effect Fractions and Proportions are related but different.

HELP PLEASEEEEEE!!!!!!!!!!!!!!! TY

Answers

The answer is 24w - 16u + 48

What is the solution to the system of equations below?
y = 5x+6 and Y--x-4

Answers

Answer:

the answer is number ten!!!!!!!!!!!!

Step-by-step explanation:

7.5 is what percent of 50?

Answers

Answer:

15%

Step-by-step explanation:

PLZ HELP ME :(
Tanisha lives in an apartment and pays the following expenses each month: electric bill,$42.60; TV streaming service,$27.99; and rent,$587.70. Estimate her total expenses for the month by first rounding each value to the nearest tens place.
A.)$659
B.)$650
C.)$670
D.)$660

Answers

Answer:

D)$660

Step-by-step explanation:

Add all of them up and you get $658.29 the number in the tens place is 5 and the number on the right is 8 so you round up.

Ella practices piano for 45 minutes she spends m minutes longer working on her homework than she does practicing the piano

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but let's assume that you want to know the amount of time that she spends working on her homework.

Since we are informed that Ella practices piano for 45 minutes and that she spends m minutes longer working on her homework than she does practicing the piano, the expression to get the number of minutes that she uses on her homework will be:

= 45 + m

For example let's say that she spends 7 minutes more in her homework. Therefore, the total minutes spent on the homework will be:

= 45 + 7

= 52 minutes

Solve the next equation (5 x - 3)³ = 8​

Answers

Answer:

x=1

Step-by-step explanation:

(5x-3)3=8

taking the cube of both sides we get

5x-3=2

adding three to both sides we get

5x=5

dividing by five on both sides we get

x=1

if you found my answer helpful please mark as brainliest.

1/6 + (-7/9) in simplest form

Answers

Answer:

Step-by-step explanation:

3/18 + (-14/18)= -11/18

What is the slope of the line in this picture?



Answers

Answer:

The slope is 3/2

Find the seventh term of the geometric sequence 1, 2, 4, ... and the sum of the first seven terms. t7= S7=

Answers

Answer:

Seventh term is 64

Sum of the first seven terms is 127

Step-by-step explanation:

The common ratio is 2

[tex]a_{n} = a_{1} r^{n - 1}[/tex]    

n = 7 and the first term is 1.  So,

[tex]a_{7} = 1(2^{7 - 1} ) = 2^{6} = 64[/tex]

Seventh term is 64

[tex]S_{n} = \frac{a_{1} (r^{n} -1)}{r - 1}[/tex]

[tex]S_{7} = \frac{1(2^{7} -1)}{2 - 1}[/tex]

    [tex]= \frac{128 - 1}{1} = 127[/tex]

Sum of the first seven terms is 127

When the angle of elevation to the sun is 42 a flagpole casts a shadow that is 21 ft long. What is the height of the flagpole to the nearest foot?

Answers

Answer:

18.91 cm

Step-by-step explanation:

Let x represent the height of the flag pole

Tan= opposite/ adjacent

Tan 42°= x/21

x= Tan 42° × 21

= 0.9004 × 21

= 18.91 cm

Hence the height is 18.91 cm

How would you write this number in numeric form?

twenty-two and ninety-four thousandths

Answers

Answer:

22.094

Step-by-step explanation:

Which of the following sets of sides does not form a right triangle?
6.8.10
8.15, 17
7.24.26
5, 12, 13?

Answers

Answer:

7, 24, 26

Step-by-step explanation:

6 squared is 36 and 8 squared is 64. Add them together and you get 100, which is 10 squared. Do the same for the other ones and you'll notice that 7 squared and 24 squared added together is 625, which is not 26 squared. In my head 25 squared is 625(check if you don't believe me) so I know that the answer is the third one. The basic formula for a right triangle is a^2 + b^2 = c^2, and that's how you find if three numbers form a right triangle or not. Hope this helps :)

the table below shows the heights of several books. Jean stacks a dictionary on top of her novel. How high is the stack of the two books?

A:between 5 and 5 1/2 inches
B:between 5 1/2 and 6 inches
C:between 4 1/2 and 5 inches

GIVING BRAINLIEST IF CORRECT PLSS HEP QUICKK!!!!!

Answers

Answer:

Between 5 and 5 1/2 inches

Step-by-step explanation:

Between 5 and 5 1/2 inches

For what value of q is the equation -13(q+4)=7q+16 true?

Please help! Thanks!

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Simple question: What is the difference between 32% vs 15%?

Answers

Answer:

Look below :)

Step-by-step explanation:

Well one of them is a bigger percentile, so the difference is 32-15. So the answer is 17. I hope this helps!

5(x+2) = 20

15 points

Answers

Answer:

Step-by-step explanation:

remove the parenthesis

5x+10=20

5x+10-10=20-10

5x=10

x=2

The following box plot shows points awarded to dance teams that competed at a recent competition:

Which dot plot best represents the box plot data?

(answer choices are in order btw) Answer choices:

Answers

Answer:

The following box plot shows points awarded to dance teams that

Step-by-step explanation:

Which dot plot best represents the box plot data?

(answer choices are in order btw) Answer choices:

A rectangular pyramid has a volume of 2032 cm. It is dilated by a scale factor of 3.
What will be the volume of the new rectangular pyramid?

Answers

Answer:

dunno

Step-by-step explanation:

Answer:

6,096

Step-by-step explanation:

2,032 x 3 = 6,096

V (x) = (18 - 2x) (24-2x) (x)
what is a reasonable domain for V in this context? ​

Answers

Answer:

What are you asking?

Step-by-step explanation:

The domain of the given expression is all real numbers.

What is domain and range of the function?

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:

Domain = the set of all x-coordinates = {1, 2, 3, 4}

Range = the set of all y-coordinates = {2, 3}

The given function is v(x) =(18-2x)(24-2x)(x).

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation: (-∞, ∞)

Set-Builder Notation: {x|x∈R}

Therefore, the domain of the given expression is all real numbers.

To learn more about the domain and range visit:

brainly.com/question/28135761.

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Juanita had 20 dollars to spend on 3 gifts. She spent 8 3 4 dollars on gift A and 4 1 2 dollars on gift B. How much money did she have left for gift C?

Answers

Answer:

the amount left for gift c is $7.54

Step-by-step explanation:

The computation of the amount left for gift c is shown below:

= Total money to spend - spent on gift A - spent on gift B

= $20 - $8.34 - $4.12

= $20 - $12.46

= $7.54

Hence, the amount left for gift c is $7.54

PLEASE HELP! ASAP please help

Answers

Answer:

( 3 , -5 )

Step-by-step explanation:

the maximum number of students in a classroom is 26. if there are 16 students sign up for the art class,how many more students can join the class without exceeding the maximum? ues ">=" for more than and "<=" for less than.

and thanks for answering​

Answers

Maximum 12 fr longgg

Answer:

x = 16 ≥ 26

Step-by-step explanation:

x = 10

10 + 16 = 26

Sorry for the delay, my man!

Please help me........

Answers

Answer: i don't know

Step-by-step explanation:

hi i  don't know any of this stuff i hope you don't learn anything Bye  

Solve for y : y/2 - 5= -11 (I need help I’m a bit confused).

Answers

y/2 - 5 = -11
multiply each side by 2
y - 10 = -22
add 10 to both sides
y = -12

Which of the following correctly describes the quotient below?

A.
rational

B.
irrational

C.
neither rational nor irrational

D.
both rational and irrational

Answers

Answer:a

Step-by-step explanation:

HELP I NEED HELP ASAP

A population of mice grows at a rate of 7% each year. Which function, f(t), could represent the total number of mice after t years?

Answers

Answer:

B

Step-by-step explanation:

As it is mentioned in the question that the mice grows at a rate of 7%, it would be answer B. Hope this helps, thank you !!



What are the coordinates of the vertex?

Answers

0,-8 are the coordinates of the vertex.
please help me this is my test for the review of all the math i learned

plz i need help hurry
and how do you mark brainliest

Answers

Answer:7 times 3.14=21.98

Step-by-step explanation:click the crown at the bottom of my answer

Answer:

43.98

Step-by-step explanation:

arc length =2* pie * r

27. A multiple choice test contains 5 questions, and each question has four possible responses.
How many different answer keys are possible?
A. 20
B. 120
C. 256
D. 1024

Answers

Answer:

D. 1024

Step-by-step explanation:

Each question can be answered 4 ways.

4 * 4 * 4 * 4 * 4 = 1024

D. 1024

Other Questions
Choose the best answer.What did the bourgeoisie, workers, and peasants make up?A. Third EstateB. National AssemblyC. Estates-GeneralD. Old Regime 2. A _____ class is the basis for generic programming and allows one class to be used for multiple types. The C++ operator After the discussion, what does the author of "On Writing Well" feel thestudents have learned about writing?A. That doctors have a lot of interesting things to write aboutB. That writing well is something only a few people can do correctlyC. That everyone writes differently and there is no one right wayOD. That authors often lead boring livesSUBMIT in 1 thessalonians, paul says that the wrath of god has overtaken the jews for all of the following reasons. . . Given the following homogeneous ODE 2y + 12y + 68y = 0 with initial conditions y(0) = 3, y (0) = 0 a. Does the homogeneous response exhibit oscillations? b. Estimate the time to reach steady state. c. Describe the nature of the homogeneous response (a sketch may help). Mr. touchetts reflections on his marriage in the fourteenth and fifteenth sentences ("it struck her husband . . . so terribly consistent") indicate that, unlike mrs. touchett, he.......answer a: happily sacrifices for his spouses happinessanswer b: has strong reservations about their living arrangementsanswer c: is more interested in his work than in his familyanswer d: looks forward to reuniting the family in florenceanswer e: worries excessively about their son assumptions based on past experiences and bias always reflect the truth.T/F A student wrote the following response to the question, What are elodea plants made of?Elodea plants are made of cells, cell walls, cytoplasm, and chloroplasts. His friend told him that he forgot to include the levels of complexity. Improve on the first students response, keeping in mind his friends suggestion helpppppppppppppppppp vincent sarich and allan wilson estimated that humans diverged from their closest living primate relatives about 5 million years ago. what line of evidence did they use initially? True/False: the repnz cmpsb instruction pair will execute as long as the byte pointed to by esi is not equal to the byte pointed to by edi. The number of people attending the annual town international food festival has decreased 20% each year since the first year. A. How can the attendance for the first 5 years be modeled?B. Of the trend continues, what will the attendance be in 10 years What is the empirical formula of dimethyl sulfide, a compound with a cabbage-like odor that is produced by marine plankton, which is 38.7% carbon, 9.70% hydrogen and 51.6% sulfur by mass? A. CH6S B. CHS C. CH5S D. CH5S the statistical mechanical expression for kp consisted of two general parts. what are these parts? What is the change in temperature when 3.00 grams of potassium chloride is dissolved in 100 mL of water?-1.61 Celsius.Given the change in the temperature from adding 3.00 grams of potassium chloride to 100.00 mL of water, calculate the enthalpy of solution for potassium chloride in units of kJ/mol. When high self-esteem people are confronted with anegative evaluation, theyA. easily blame others for the results.B. tell themselves how well they do in other areas.C. distort the outcome or deny the evaluation.D. begin to self-disclose at higher rates. perhaps the biggest advantage of direct real estate investments is Vice president spiro agnew was forced out of office in 1973 because:. PLSSS HELP IF YOU TRULY KNOW THISSS the random variable x has the cdf: fx(x) = {0 x -3 0.4 -3 x 5 0.8 5 x 7 1x7. determine px(xk). find the probabilities p(x=5)