Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + − 3 7 n

Answers

Answer 1

The sequence an = 1 + (-3/7)^n is neither an arithmetic progression nor a geometric progression

The first ten terms of the sequence are 0.5714, 1.1837, 0.9213, 1.0337, 0.9855, 1.0062, 0.9973, 1.0011, 0.9995 and 1.0002

How to determine the first ten terms?

The nth term of the sequence is given as:

an = 1 + (-3/7)^n

The first ten terms are calculated as follows:

a1 = 1 + (-3/7)^1 = 0.5714

a2 = 1 + (-3/7)^2 = 1.1837

a3 = 1 + (-3/7)^3 = 0.9213

a4 = 1 + (-3/7)^4 = 1.0337

a5 = 1 + (-3/7)^5 = 0.9855

a6 = 1 + (-3/7)^6 = 1.0062

a7 = 1 + (-3/7)^7 = 0.9973

a8 = 1 + (-3/7)^8 = 1.0011

a9 = 1 + (-3/7)^9 = 0.9995

a10 = 1 + (-3/7)^10 = 1.0002

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Related Questions

If two angles are supplementary angles, then both of them are: a) acute angles b) obtuse angles c) right angles d) none of these.

Answers

Answer:

right angle

Explanation:

because every right angle is equal to 90°

The dipole moment of the water molecule (h2o) is 6.17×10−30c⋅m. consider a water molecule located at the origin whose dipole moment p⃗ points in the +x-direction. a chlorine ion (cl−), of charge −1.60×10−19c, is located at x=3.00×10−9m. assume that x is much larger than the separation d between the charges in the dipole, so that the approximate expression for the electric field along the dipole axis can be used.

Answers

Answer:

6.58 X 10⁻¹³ N

Explanation:

Approximate the sum of the series correct to four decimal places.

Answers

Answer:

Example;

To round off 6.0056 to the nearest hundredths, the thousandth digit is checked and is equal to 5.

Add one unit to the hundredth digit and drop all the digits that come after it.

The answer is therefore, 6.01.

If the triangle is equilateral then it is equiangular brainly

Answers

Answer:

Always true

Explanation:

An equiangular triangle has three equal sides, and it is the same as an equilateral triangle.

Hope my answer helped :)

In the context of alabama in the 1900s, the umwa was culturally and historically significant because it supported the civil rights movement. was a segregated organization. was an interracial organization. supported coal mining companies.

Answers

In the context of Alabama in the 1900s, the umwa was culturally and historically significant because it supported the civil rights movement in supported coal mining companies.

The umwa

The United Mine Workers of America (UMW or UMWA) is a North American labor union best known for representing coal miners. Today, the Union also represents health care workers, truck drivers, manufacturing workers and public employees in the United States and Canad.

With this information, we can conclude that in the context of Alabama in the 1900s, the umwa was culturally and historically significant because it supported the civil rights movement in supported coal mining companies.

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Answer:supported the civil rights movement

Explanation:

i just did the test

Which of the following is an example of a conclusion?


Ultraviolet light causes skin cancer.



Drinking water may cause weight loss.



Leaves may change color during fall.




Ultraviolet light may inhibit plant growth

Answers

Answer:

I think leaves may change color during fall.

Explanation:

i guess... 1/4 chance

How many edges does a tree with 10,000 vertices have?

Answers

the tree will have 9999 edges

The economy of newland is in short-run macroeconomic equilibrium. the current real output is $400 billion, and the full employment output is $500 billion. the marginal propensity to consume is 0.8.

Answers

a. The economy is experiencing a recessionary gap because the potential GDP  is greater than the Real GDP.

bc. The minimum change required to shift the aggregate demand curve to close the output gap  is 500 and 125.

Gross domestic product

a. The economy is experiencing a recessionary gap because the potential gross domestic product  is higher than the Real gross domestic product.

Potential GDP=500

Actual GDP=400

Potential GDP > Actual GDP

b. Minimum change

Multiplier= 1/(1 - MPC)

Multipl,ier= 1/(1 - 0.8)

Multiplier = 1/0.2

Multiplier= 5

Minimum change=(500-400)×5

Minimum change=500

c.  Minimum change

Tax multiplier = MPC/(1 - MPC)

Tax multiplier= 0.8/(1 - 0.8)

Tax multiplier= 4

Minimum change=500/4

Minimum change=125

Inconclusion the economy is experiencing a recessionary gap because the potential GDP  is greater than the Real GDP.

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a titration experiment can be used to determine the

Answers

Answer:

exact amount of a substance

Explanation:

Experiment Titration is an analytical method used to determine the exact amount of a substance by reacting that substance with a known amount of another substance.

acid solution (of known concentration) required to neutralize it. The purpose of the titration is the detection of the equivalence point, the point at which chemically equivalent amounts of the reactants have been mixed. The amount of reactants that have been mixed at the equivalence point depends on the stoichiometry of the reaction.

High student loan payments can impact all of the following life decisions except _____.

Answers

High student loan payments can affect many decisions but not the decision of getting married.

What are the effects of high student loan payments?

High student loan payments mainly affect the money people have every month after paying the loan. This factor can affect money-related decisions such as:

The money they can spend on food, housing, clothing, etc.The possibility of buying a house or a car.The amount of money they can save.

What life decisions are not affected?

Decisions that are not directly related to money such as getting married are not affected by high loan payments.

Note: This question is incomplete because the options are missing; here is the missing section:

a)getting married

b)buying a car

c)being able to afford food

d)buying a house

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What is the appropriate sequence of events for protein synthesis?

Answers

Answer:

transcription and translation.

Explanation:

Protein synthesis is the process in which cells make proteins. It occurs in two stages: transcription and translation. Transcription is the transfer of genetic instructions in DNA to mRNA in the nucleus.

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match the words in the left-hand column to the appropriate blank in the sentences in the right-hand column. use each word only once.

Answers

The correct matching of the words to the right definitions are:

Massive star supernova →  2Nova → 3Electron degeneracy pressure → 1

What is the matching of words?

The matching of words to an appropriate term is described as an assessment method of identifying or determining the true purpose of that term or an item, the function it serves, and sometimes the definition of the word.

Let's assume we have the disorganized words with some terms:

Words;                    

massive star supernovanovaelectron degeneracy pressure

Definitions;

The radius of a white dwarf is discerned by an equilibrium between the inward force of gravity and the outward push of         A(n)        appears when fusion produces iron in the core of a star.A(n)         takes place when hydrogen fusion kindles on the surface of a white dwarf in a binary system.

The correct matching of the words to the right definitions are:

Massive star supernova →  2Nova → 3Electron degeneracy pressure → 1

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The cj bacteria in the chickens at monita farms have a high frequency of the allele that causes fq resistance. If genetic drift was the cause, would this allele also be in bacteria at the original farm?

Answers

If the process of genetic drift was the cause of this phenomenon, then the resistance allele was also present in the original farm.

What is genetic drift?

Genetic drift is a genetic phenomenon that occurs when one allele is fixed in a population due to random chance.

Genetic drift is converse to natural selection, where an allele increases this frequency due to evolutionary constraints.

Genetic drift is well known to be the cause of allele fixation by founder population effects.

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7.2 connecting intercepts and linear factors answer key

Answers

An example of 7.2 connecting intercepts and linear factors is Graph y = x + 4 and y = x - 2 using a graphing calculator and then sketch the graphs on the grid.

What are linear factors?

The linear factors of a polynomial are known to be the first-degree equations that are said to be the framework of more complex and higher-order polynomials.

The Graph of y = x + 4 and y = x - 2  with the sketch of its graphs on the grid is shown in the image attached.

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A circle has a radius of 5.4 m. what is the exact length of an arc formed by a central angle measuring 60°? enter your answer in the box. express your answer using π .

Answers

Assuming the radius is 5.4m. The exact length of an arc formed by a central angle measuring 60° is 1.8π or 5.65.

Length of an arc

Arc length of the circle=(theta)/360×pi×diameter

Diameter=2×radius

Where:

radius=5.4

Diameter=2×5.4=10.8

theta=60°

Arc length:

Arc length=60°/360°×π×10.8

Arc length=5.6548667765 or 1.8π

Inconclusion the exact length of an arc formed by a central angle measuring 60° is 1.8π or 5.65.

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Answer:

1.8π

Explanation:

central angle/360=x/2πr

60/360=x/2(5.4)(π)

36x/36=6x2x5.4xπ/36

x=64.8π/36

x=1.8π

Fungi are __________, whereas plants are autotrophs

Answers

Answer:

Heterotrophs

Explanation:

Answer:

fungi heterotrophs which means they cannot make their own food, where as plants are autotrops .

a farmer is painting a new barn. he will need to calculate the surface area of the barn to purchase the correct amount of paint. in which of the following units can the farmer expect to calculate the surface area?

Answers

Answer:

height and widthso basically he need to pain just the walls so he just need to calculate height and width

Find the amount applied to principle for the third month of a​ 4-year loan of ​$ which charges percent compounded monthly with monthly payments.

Answers

The amount applied to the principal for the third month of a 4-year loan of $50,000 at an interest rate of 10% per year with monthly payments is $865.71.

What is the amount of payment applied to the principal?

The amount of the payment applied to the principal in any payment period is the total payment less the interest amount for the payment period.

For example, in this case, the periodic payment is $1,268.13. However, the interest amount for the month is $402.42 ($48,289.98 x 10% x 1/12).

The amount of the payment applied to the principal is $865.71 ($1,268.13 - $402.42).

This can be computed using an online finance calculator that calculates the periodic payment and prepares a monthly payment schedule as below.

Data and Calculations:

N (# of periods) = 48 (4 x 12)

I/Y (Interest per year) = 10%

PV (Present Value) = $50,000

FV (Future Value) = $0

Results:

PMT = $1,268.13

Sum of all periodic payments = $60,870.20

Total Interest = $10,870.20

Monthly Schedule

Period       PV                   PMT        Interest  Principal            FV

1          $50,000.00    $1,268.13      $416.67   $851.46     $49,148.54

2          $49,148.54     $1,268.13    $409.57  $858.56      48,289.98

3         $48,289.98     $1,268.13    $402.42   $865.71     $47,424.27

Thus, the amount of the payment applied to the principal is $865.71.

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What issues facing journalist are mentioned in the news brainly

Answers

The main issue that news outlets keep referring to when talking about issues facing journalists is Credibility.

Why is credibility the main issue?

These days journalists are said to be quite biased in their reporting in order to get people to be more interested in issues that the journalist values.

This is what gave rise to the term, "fake news." The issue has gotten so bad that a lot of people doubt the credibility of journalists and news outlets when they report on certain things which has affected the impact of the news.

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which of the following incorrectly matches an embryonic structure with its function?

Answers

Answer:

yok sac/provides nutrients to developing embryo

In line 20 what has made all the difference according to the speaker of the poem

Answers

Answer:

show me line 20 i am a a+ english student

Explanation:

if an adult human suffered a traumatic injury, could their notochord be damaged?

Answers

Answer:

Yes; because the notochord is deep within the body only a severe injury could damage it.

Explanation:

Find the mass of alcl3 that is produced when 10.0 grams of al2o3 react with 10.0 g of hcl according to the following equation.

Answers

12.2g answer

Try the stoichiometry method. You should get 12.2g as the answer

Read the line from "an irish airman foresees his death." a waste of breath the years behind the meter, if any, from the line is

Answers

The line from an irish airman foresees his death is simply an example of iambic pentameter.

What is an iambic pentameter?

It should be noted that an iambic pentameter simply means the rhythm that the words establish in a line.

In this case, "a waste of breath the years behind the meter" is example of iambic pentameter. This is vital for the poem.

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Answer: Iambic Tetrameter

Currently, the rooftop solar panels produce only a fraction of the electricity used in the buildings on which they are installed. which of following strategies would best combat the problem of insufficient electricity generation from the rooftop solar panels?

Answers

The strategies that  would best combat the problem is: Installing active solar energy on unshaded rooftop space and placing them to face south.

What is solar panel?

Solar panel can be defined as a panel that help to provide electricity by making use of sunlight as energy.

Based on the given scenario the best strategies to overcome the problem is to install the active solar energy systems on unshaded rooftop space and to as well position the solar energy  to face south.

Inconclusion  install active solar energy on unshaded rooftop space.

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At its current level of output, a firm’s total revenue is greater than its total variable cost but less than its total cost. if the firm is producing at the point where marginal revenue is equal to marginal cost, what should the firm do to maximize profit in the short run?

Answers

In order to maximize profit in the short run; Company is to continue operating at that output level in the short term, since total revenue will cover all of the firm's variable costs and some of its fixed costs.

How to maximize profit?

Every firm in the market operates with the primary aim of making profit, which is different from the government that has a primary aim of creating welfare for the people. Thus, a profit-maximizing level of output is determined at the point where marginal revenue (MR) equals marginal cost (MC).

Finally, In order to maximize profit in the short run what the company should do is to continue operating at that output level in the short term, since total revenue will cover all of the firm's variable costs and some of its fixed costs.

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Solve the given integral equation or integro-differential equation for y(t)

Answers

An integral equation is the equation where an unknown function appears under the integral sign.

What is an integral equation?

Your information is incomplete. Therefore, an overview will be given.

An integral equation simply means the equation where an unknown function appears under the integral sign.

It should be noted that integral equation can be solved numerically and doesn't usually require an analytical solution.

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Name the geometric terms modeled by each object a telephone pole

Answers

Answer:

The geometric item that models each object is named a telephone pole is a line.

A tax for which high-income and low-income taxpayers pay the same fraction of income

Answers

Answer:

the impacts of the above systems on either high or low income earners may be different. proportional tax which is related to the above-mentioned case can also be referred as flat tax . the impacts of regressive taxes on wealthy people as compared to lower-income people is greater.

Envision mathematics common core volume 2 answer key grade 6

Answers

Envision math common core can be used to analyze and solve linear equations.

What is Envision math?

Envision math common core can be defined as a mathematics curriculum that are designed and developed for grades K-5 and K-6. Also, it was specifically designed to combine both problem-based questions and visual learning together.

This ultimately implies that, envision math common core can be used in the following ways:

To analyze and solve linear equations.To model relationships between problems.To investigate bivariate data.

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