The fifth term of a geometric sequence is 781. 25. Each term of the sequence is of the value of the following term. Which recursive formula represents the situation?.

Answers

Answer 1

Answer: an = 5an-1

Explanation: Given fifth term of a geometric sequence is 781.25.

a5 = 781

Also, each previous term is 1/5 of the value of the current term.

Therefore, common ratio would be 5.

But we just need to find the recursive formula .

Recursive formula of a geometric sequence is given by

Plugging value of r in above formula, we get

Therefore, recursive formula would be   represents the situation.

Answer 2

The recursive formula that represents the situation is: [tex]t_n = a^{(3/4)} * 781.25^{(1/4)} * n^{(1/4)}[/tex].

What is recursive formula?

A recursive formula is one that defines any term in a sequence in terms of the term(s) before it.

Let the first term of the geometric sequence be 'a' and the common ratio be 'r'.

We are given that the fifth term is 781.25, so we can write:

a * [tex]r^4[/tex] = 781.25

We also know that each term is the value of the following term, so we can write the recursive formula:

t_n = r * t_(n-1)

Where t_n is the nth term of the sequence and t_(n-1) is the previous term.

To express the recursive formula in terms of 'a' and 'r', we can use the formula for the nth term of a geometric sequence:

[tex]t_n = a * r^{(n-1)[/tex]

Substituting the recursive formula, we get:

[tex]r * t_{(n-1)} = a * r^{(n-1)[/tex]

Dividing both sides by r^(n-1), we get:

[tex]t_{(n-1)} = a * r^{(n-2)[/tex]

So the recursive formula in terms of 'a' and 'r' is:

t_n = r * t_(n-1)

[tex]= r * (a * r^{(n-2)})\\\\= a * r^{(n-1)[/tex]

Now we can substitute the value of the fifth term (781.25) to solve for 'a' and 'r':

a * [tex]r^4[/tex] = 781.25

Dividing both sides by a, we get:

[tex]r^4[/tex]= 781.25/a

Taking the fourth root of both sides, we get:

r = [tex](781.25/a)^{(1/4)[/tex]

Substituting this value of 'r' into the recursive formula, we get:

[tex]t_n = a * ((781.25/a)^{(1/4)}){^(n-1)}\\\\= a^{(3/4)} * 781.25^{(1/4)} * n^{(1/4)}[/tex]

Therefore, the recursive formula that represents the situation is:

t_n = a^(3/4) * 781.25^(1/4) * n^(1/4)

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Related Questions

Read the instructions found on the next page.

Answers

Answer:

One question! What page is it? I'll be willing to help! ;)

Explanation:

Where are 2 places you can search for apps that work with quickbooks online?.

Answers

Based on the application analysis, the 2 places you can search for apps that work with QuickBooks online are QuickBooks App Store and QBO account.

The Steps to search for apps that work with QuickBooks online

Go to QuickBooks Apps.

Select a specific Categories section.

Click the Get app now button.

In the option of the QBO account. Do the following:

Go to the Apps menu.

Download the App through the category button.

Hence, in this case, it is concluded that the correct answer is "QuickBooks App Store and QBO account."

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In the following citation for a website which detail is optional according to mla style.

Answers

The detail that is optional according to MLA style is: 6 Mar.  2014.

In the Modern Language Association style for citing websites, it is optional to input the date that the information was accessed. It is not a requirement but it is highly recommended.

Also note that when citing the URL's, the https:// should be omitted. URL's are important in these citations.

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Answer:

mappinc link

Explanation:

A student wants to prove that the base angles of an isosceles triangle are congruent.

Answers

There are different kinds of triangles. The options that could be used as part of the proof that B = C are;

≅ because of the Symmetric Property

≅ because of the definition of a midpoint

≅ because of the definition of an isosceles triangle

∠ ≅ ∠ because corresponding parts of congruent triangles are congruent.

Isosceles triangles is known to have at least two congruent sides and also at least two congruent angles.

The congruent sides is referred to as legs that create the vertex angle. The other two congruent angles are known to be the base angles.

See full question below (using the image attached)

A student wants to prove that the base angles of an isosceles triangle are congruent. The student draws isosceles triangle ABC with base angles B and C.

Point M is drawn as the midpoint of BC.

Which of the following could be used as part of the proof that B = C? Select all that apply

How many points of intersection are there between the graphs of the hyperbola and ellipse?
3x2 + 4y2 + 3x – 2y+3 = 0
322 – 2y2 + 3x – y +3=0

0
2
3
4

Answers

Answer:

4

Explanation:

The house un-american activities committee targeted brainly.

Answers

Answer:

?

Explanation:

What spell would newt scamander have used to make his case big enough.

Answers

The Magizoologist in Harry Potter is a man called Newton Scamander. The spell that Newt Scamander can use to make his case big enough is Extension Charm or Capacious extremis.

Capacious extremis when translated means capacity and spacious. This spell helps wizard or witch to alter small enclosures such as like bags and making all kinds of extra invisible space within them.

The Magizoologist Newton Scamander was known to have a magical suitcase that was bewitched with an Undetectable Extension Charm.

He placed a lot of magical beasts while inside it as he traveled.

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Plz don’t answer if you don’t know the answer and thank you if you helped me god may bless u

From Father's Choice
(Page 56)
Father avoids Mother when she is ill rather than trying to cure or even comfort her before
dying. Write a paragraph explaining what you think is going on in his mind.


Book: Mechanica by Betsy Cornwell

Answers

Answer:

Explanation:

The Father is proably tramatized but he  wants to stay strong for mother,considering the fact that she is about to die. He is proably very hesterical but, must stay strong because it will make mother sad,and she will die dissapponted. He is thinking that if he cries or if he tries to make it better it will only make the situation worse. He feels like e is going to ruin something if he tries to stay with Mother. It's better to stay away because it's only gonna hurt Father because Mother is already heading home.

A middle school chess club has 5 members.

Answers

Answer:

For real????????????

Thats sad :C

Which of the following men supported u. S expansionism in the pacific?.

Answers

it is wrong answer and bye

Answer:

William Jennings Bryan

Alfred Thayer Mahan

Emilio Aguinaldo

Explanation:

What is the name of the computer program used for file and process management in the linux system?.

Answers

Answer: Command Prompt

Explanation:

Which of the following is not a characteristic of the sampling distribution of sample means (the means of all possible samples of a given size)?.

Answers

Answer:

The mean is zero and standard deviation is one. Not standard sample

Two customers took out loans from a bank. • henry took out a 4-year loan for $5,000 and paid 4. 2% annual simple interest. • ingrid took out a 6-year loan for $5,000 and paid 3. 9% annual simple interest. What is the difference between the amounts of interest henry and ingrid paid for their loans?.

Answers

Explanation:

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering Henry's loan,

P = 5000

R = 4.2

T = 4 years

I = (5000 × 4.2 × 4)/100 = $840

Considering Ingrid's loan,

P = 5000

R = 3.9

T = 6 years

I = (5000 × 3.9 × 6)/100 = $1170

The difference between the amounts of interest Henry and Ingrid paid for their loans is

1170 - 840 = $330

Which scenario can be represented using the inequalities below? 1. 25 < x < 1. 5 a container of milk costs at least $1. 25 but less than $1. 50. A student spends at least 1 hour 15 minutes, but no more than 1 hour 30 minutes on homework. A tip added to a restaurant bill is less than or equal to 25% or less than or equal to 50%. The point value of a test item is more than 1. 25 points and less than 1. 5 points.

Answers

Answer:

Explanation:22

Holle i mean I mean I mean hello

Managers at eller manufacturing are considering purchasing a new refrigerated delivery truck that will produce equal annual cash flows of $36,000 for 6 years. The truck’s net present value is $12,780, its cost is $144,000, its useful life is 6 years, and its annual depreciation expense (no salvage value) is $24,000. What is the discount rate used by eller to evaluate this project?.

Answers

It should be noted that the discount rate that was used by Eller to evaluate this project is 10%.

From the information given, the following can be depicted:

Annual cash inflows = $36,000 Period of cash inflows = 6 years Cash outlay (initial investment) = $144,000 Depreciation expense = $24,000 Estimated useful of trucks = 6 years Net present value = $12,780

It should be noted that the Present Value Annuity Factor at 10% for 6 years is given as 4.355

Therefore, the Present Value of Annuity cash inflows will be

= ($36,000 x 4.355) =  $156,780  

Less initial investment cash outlay =  $144,000

Net present value =  $12,780

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Red lights on a traffic light have a frequency of 4. 3 x 1015 hz. What is the red light’s wavelength in meters?.

Answers

It is the same but you just have to calculate

The following table shows the responses of 45 students from two different classes who were asked which of five amusement rides at a school fair was their favorite.

Answers

Answer:

B

Explanation:

According to the question, Boat Ride is the answer.

What is School?

School refers to a location where formal education or learning is conducted. This essay uses the term to refer to both lower-level and higher-level educational institutions.

A school is a section of the school system made up of pupils belonging to one or more grade levels or other distinguishable groupings, arranged as a single entity with one or more teachers to deliver teaching of a specific sort, and housed in one or more buildings.

As is the situation when elementary and secondary schools are housed in the same building or compound, more than one school may be located there.

According to the organization's mandate, the school's daily operations are overseen by elected officials who may include department heads and school administrators. The community's role is one of learning, education, and research.

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A local supermarket organised two weeks of promotions to boost sales. The average daily sales before the campaign is $10 000, which becomes $11 000 during the promotion (average over 2 weeks). Which analysis below is not useful for evaluating whether the increase in sales is statistically significant?.

Answers

The analysis that is not useful for evaluating whether the increases in sales are statistically significant is to monitor sales for a longer period of time.

Statistical analysis helps to use different methods to properly collect data, and therefore future predictions and solutions. This is important to achieve organizational goals.

From the complete information, analysis that is not useful for evaluating whether the increases in sales are statistically significant is to monitor sales for a longer period of time.

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Even though the process is endothermic, snow can sublime. Which tendency in nature accounts for this phase change?.

Answers

Answer:

Explanation:

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A binary number is to be transformed by appending three 0s to the end of the number. For example, 11101 is transformed to 11101000. Which of the following correctly describes the relationship between the transformed number and the original number?.

Answers

Numbers can be converted from one base to another base. a. The transformed number is 8 times the value of the original number.

Given that:

Three 0s are appended to a binary digit to get a new binary digit.

Using the given values, the transformation can be illustrated as follows:

Where:

represents the three appended 0s.

In binary  represents 8 in decimal.

So, the above illustration can be expressed as:

This means that the new or transformed number is 8 times the original number.

You and your lab group have been asked to design an investigation to determine the effects of heat transfer between two different objects. Which of the following investigation designs explains the heat transfer when atoms directly touch?.

Answers

There are different ways for transfer of heat. investigation designs explains the heat transfer when atoms directly touch is Hands touching the handle of pan sitting on a lit Bunsen burner.

In conduction, When two objects touch, heat from the hotter object is said to be transferred to the cooler object.

Heat as a flow of energy often arise from a higher temperature object to a lower temperature object.

The temperature that exist difference between the two neighboring objects can lead heat transfer.

The heat transfer is still ongoing until the two objects have attained thermal equilibrium and are found in the same temperature.

See full question

Which of the following investigation designs explains the heat transfer when atoms directly touch?

А Boiling water, in a pan, sitting on a lit Bunsen burner.

B Boiling water, in a pan, in front of a lit Bunsen burner.

С Hands warming in front of a lit Bunsen burner.

D Hands touching the handle of pan sitting on a lit Bunsen burner

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Choose which word fits the description. What would you not do at the store? mirar la ropa limpiar comprar cosas hablar con tu amigo.

Answers

Answer:I think the answer that makes the most sense is "limpiar" (please tell me if I'm wrong)

Explanation:I don't think someone would go shopping to clean

Answer:

B. limpiar

Explanation:

Edge

Chocolate candy in your hand will eventually melt.

Answers

yes it would by the heat

Explanation:

heat makes stuff really hot

How do you do this ??.?.?.?.??.??.?.?

Answers

Answer: I.D.K MAN SORRYExplanation:

Which is the correct way to write the underlined portion of the following sentence? the students hoped to quickly finish the test so they would be able to work cooperatively on their projects.

Answers

No part of this is underlined but I believe it should read: the students hoped to finish the test quickly, so they would be able to work cooperatively on their projects.

Which of the following is an example of the self-fulfilling prophecy?.

Answers

Self-fulfilling prophecy is a psychological theory where what is believed or expected or said to a person comes to pass even if the belief is not a fact.

An example of  self-fulfilling prophecy is telling a person that they are so poor in mathematics. This might not be true but because the person is told repeatedly, the person begins to believe it and would eventually become poor in mathematics.

Self-fulfilling prophecy can be negative or positive. It depends on the way it is used.

Here are the options of this question:

telling blue-eyed people they are unattractive, then feeling bad and complimenting people with blue eyes to avoid feeling guilty telling people you hate boy bands, then taking your child to a boy band fan club meeting telling someone with dyslexia she cannot learn to read, leading her to become illiterate even though she could learn to read with a bit of extra effort telling your spouse you hate his cooking, then taking over the cooking yourself to avoid food poisoning

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To compare the teaching methodologies of two of its eighth-grade math teachers, a school decides to compare student test scores from the two classes throughout the year. Which type of statistical study is the school conducting?.

Answers

The type of statistical study that the school is conducting can be referred to as: a Prospective Observational Study.

Prospective Observational Study is a type longitudinal observational study where the research does not manipulate the research subjects but simply observe and collect data of the research subjects as their characteristics changes over time going forward.

Therefore, the type of statistical study that the school is conducting can be referred to as: a Prospective Observational Study.

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Ken is not satisfied with his thesis statement in sentence 3. Which of the following should replace sentence 3 to provide a more effective thesis statement?.

Answers

Please show more information regarding this question so I may help you.

Iconic memory is used when a loud thunderclap occurs during a storm.

Answers

Answer:

Memories of specific personal events are examples of semantic long-term memories. The process of storing, encoding, and retrieving information is known as memory.

Explanation:

[tex]\huge{\mathfrak{꧁HeavenMistress꧂}}[/tex]

Answer:

F

Explanation:

how much does the triple treat box cost please help

Answers

Answer:

lm.ao i.dk i think like $23

Explanation:

It looks so good, you should get it.

Answer:

$22.99

Explanation:

Right now, it costs $22.99

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