For the different values of any discrete series, what is the relationship between mean deviation about mean and standard deviation? (Give necessary proof in support of your statement)? 1.

Q: Suppose that $\Sigma_{n=0}^{\infty} c_{n} x^{n}$ converges when $x=-4$ and diverges when $x=6 .$…

A: We have given a series; The centre of the convergence of the series is zero. The interval of the…

Q: What is the radius of convergence for the power series from k=0 to infiniity of ((x-1)^k)/(k!)?

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Q: For the discrete series given as, X variable values: 32 with frequency 2, 37 with frequency 5, 46…

A: Given: X freq. f 32 2 37 5 46 3 48 9

Q: What is a conditionally convergent series?

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Q: The following ACF plot indicates that the series is stationary. Is True or False?

A: A time series is said to be stationary if it has constant mean, variance and the covariance is…

Q: b Dos. either (onverg Series? why? s witing the G for cach of the

A: This is a problem of series.

Q: Use the test of your choice to determine whether the following series converge.

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Q: is series to estimat e series be enough

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Q: what is the interval where the Series E/ x is convergence メャ2

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Q: cos (n) 4) Is an alternating series? Does it converge ? Does it converge absolutely? Explain…

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Q: Can the value of a series be determined using the Root Test or theRatio Test?

A: No, we cannot determine the value of the series using the root or ratio test. It can be only used to…

Q: : For what values of (x) does the power series converges? Find the Serie interval of convergence?…

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Q: (х — 8)" n(-6)" (x) n=1

A: First I have find the radius of convergence , then find the Interval of convergence . At left end…

Q: Find out the quartile coefficient of skewness in a series where Q, = 18, Q, = 25, mode = 21 and %3D…

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Q: As a general rule, is it advisable to difference a  time-series more than 1–2 times? Why or why not?

A: The objective is specify whether it is advisable to  difference a  time-series more than 1–2 times.

Q: Given the following series: 0=0+0+0+... = (1−1) +(1−1) + (1−1) +... = 1− 1+1 −1 +1 −1 +... = 1+…

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Q: What is the limit as n goes to infinity of the power series (log n)2 ?

A: The given problem is to find the limit of n goes to infinity of the power series of the function…

Q: Find out the quartile coefficient of skewness in a series where Q mean = 18. = 18, Q, = 25, mode =…

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Q: Is the series 4k convergent? What is the easiest way to answer this question? Can you tell if 3* xp…

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Q: In  the given question as follows , verify that the Ratio Test is inconclusive for the p-series:-…

A: To verify the ratio test is inconclusive for the p-series:- ∑n =1∞1n3/2 To apply the ratio test  Let…

Q: Explain why it is difficult to use the divergent series∑1/k as a comparison series to test ∑1/(k +…

A: Explain why it is difficult to use the divergent series ∑1/k as a comparison series to test ∑1/(k +…

Q: Is the series given below is convergent or divergent?

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Q: In  the given question as solows , verify that the Ratio Test is inconclusive for the p-series:- see…

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Q: State the following Tests (a) What is p-series? when is it converges? (b) What is geometric series?…

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Q: In  the given question as follows ,  determine the numberof terms required to approximate the sum of…

A: In  the given question as follows ,  determine the numberof terms required to approximate the sum of…

Q: Please give a detailed explanation to help me with this study guide question. Thank you so much.

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Q: Please help: Why is the Leibniz test (Alternating series test) inappropriate for the given series?…

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Q: Given below are the two price index series. Splice them to a continuous series on the base 1996.…

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Q: Which one of the following series is divergent by comparison test?

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Q: Calculate the mean from the following series and apply Charlier's accuracy check.

A: Given information: The frequency distribution of weekly wage workers is given.

Q: (x + 1)" n4r n=1

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Q: What is the binomial series? On what interval does it converge? How is it used?

A: Given:What is the binomial series? On what interval does it converge? How is it used?

Q: Use suitable test to determine whether the following series is convergent +00 e" sin(n!) n!

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Q: Let ar be a conditionally convergent series, what can be said about E| akl? You must TYPE your…

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Q: Explain why the Comparison test is not a good choice for showing that the following series…

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Q: (n + 1)" 2n+1 n=0

A: The solution is

Q: Prove that for any discrete series standard deviation is not less than mean deviation from mean.

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Q: Suppose the following are the seasonal indices for the first three quarters of the year for a…

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Q: D) what is the upper bound for your error estimate if you use the first 12 terms (use the…

A: Given, To evaluate upper bound for your error estimate if you use the first 12 terms (use the…

Q: Find out the coefficient of correlation when the assumed means of X series and Y series are 82 and…

A: Here use correlation coefficient formula

Q: Which of the following is the convergence range of the given power series?

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Q: i me

A: To test the convergence of the given series, we use the ratio test that states that, if…

Q: For the interval series describing bookshop sales the median belongs to the [400,500] interval which…

A: Given that the median for the bookshop sales belongs to the interval (400, 500) and is equal to 465.…

Q: What tests are used to determine the radius of convergence of a power series?

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Q: What can you observed in a time plot below? Is there any pattern? Is the series If yes, why say so?…

A: Given information: A timeseries plot is given.

Q: The endpoints for the interval of convergence of a series must always be tested to see if they are…

A: True.

Q: Does the series converge, if so, where?

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Q: Is the following series convergent or divergent? Explain your answer. ex= 1+x+x2/2 + x3/6.......

A: Ratio test: A series ∑n=0∞an is convergent if limn→∞ an+1an<1 and  divergent if limn→∞…

Q: The value of p for the series En=1 2n | n! by using ratio test is

A: Given series is ∑n=1∞2nn! According to the ratio test a series is convergent if in the limit…