 # Series math questions and answers

Recent questions in Series Kyran Hudson 2021-03-07 Answered

### Solved examples of number series in Quantitative aptitude As we know, questions related to number series are very important in Quantitative aptitude section, So, today I’m going to discuss some problems of number series. These are just for your practice. I have already discussed this chapter in previous session i.e. Sequence and Series. Read this article first, then go through these examples. ka1leE 2021-03-07 Answered

### Find the power series representation for g centered at 0 by differentiating or integrating the power series for f(perhaps more than once). Give the interval of convergence for the resulting series. $$g(x)=\ln(1-2x)$$ using $$f(x)=\frac11-2x$$ Falak Kinney 2021-03-07 Answered

### Working with binomial series Use properties of power series, substitution, and factoring to find the first four nonzero terms of the Maclaurin series for the following functions. Use the Maclaurin series $$(1+x)^{-2}=1-2x+3x^2-4x^3+\cdots\ for\ -1$$ $$(1+4x)^{-2}$$ Dillard 2021-03-07 Answered

### In series A, the first term is 2, and the common ratio is 0.5. In series B, the first term is 3, and the two infinite series have the same sum. What is the ratio in series B?​ Ramsey 2021-03-05 Answered

### Q1. Does a series $$\displaystyle{\sum_{\infty}^{{{n}={1}}}}{b}{n}$$ converge if $$bn \rightarrow 0$$? Justify your answer by at least two examples? Jerold 2021-03-05 Answered

### Find a formula for the nth partial sum of each series and use it to find the series’ sum if the series converges. $$\frac{9}{100}+\frac{9}{100^2}+\frac{9}{100^3}+...+\frac{9}{100^n}+...$$ Lipossig 2021-02-25 Answered

### Write the following arithmetic series in summation notation. $$8+10+12+\cdots+34$$ slaggingV 2021-02-25 Answered

### Find the nth Partial Sum Sn of the series $$\displaystyle\sum{1}{\left({2}\kappa−{1}\right)}{\left({2}\kappa+{1}\right)}$$ kindly solve fast. Jaya Legge 2021-02-18 Answered

### Power series for derivatives a. Differentiate the Taylor series centered at 0 for the following functions. b. Identify the function represented by the differentiated series. c. Give the interval of convergence of the power series for the derivative. $$f(x)=\ln(1+x)$$ ankarskogC 2021-02-15 Answered

### Use the formula for the sum of a geometric series to find the sum, or state that the series diverges. $$\frac{7}{8}-\frac{49}{64}+\frac{343}{512}-\frac{2401}{4096}+...$$ Yulia 2021-02-12 Answered

### Use the Geometric Series Test to help you find a power series representation of $$f(x)=\frac{x}{(2+x^3)}$$ centered at 0. Find the interval and radius of convergence. Dillard 2021-02-11 Answered

### It appears that the terms of the series $$\frac{1}{1000}+\frac{1}{1001}+\frac{1}{1002}+\frac{1}{1003}+...$$ are less than the corresponding terms of the convergent series $$1+\frac{1}{4}+\frac{1}{9}+\frac{1}{16}+...$$ If the statement above is correct, then the first series converges. Is this correct? Why or why not? Make a statement about how the divergence or convergence of a series is affected by the inclusion or exclusion of the first finite number of terms. chillywilly12a 2021-02-11 Answered

### Find a formula for the general term anan (not the partial sum) of the infinite series. Assume the infinite series begins at n=1. $$\frac{2}{1^2+1}+\frac{1}{2^2+1}+\frac{2}{3^2+1}+\frac{1}{4^2+1}+...$$ Wierzycaz 2021-02-09 Answered

### Find the sum of the infinite geometric series: $$3+2+\frac{4}{3}+\frac{8}{9}+...$$ naivlingr 2021-02-09 Answered

### Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series. $$\frac13+\frac15+\frac17+\frac19+\frac{1}{11}+...$$ Kaycee Roche 2021-02-08 Answered

### Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series. $$\displaystyle{\sum_{{{n}={2}}}^{\infty}}{\frac{{{1}}}{{{n}\sqrt{{{\ln{{n}}}}}}}}$$ rocedwrp 2021-02-03 Answered

### Reasoning as in the given problem, what is the value of $$0.3+0.03+0.003+...?$$ Working with series Consider the infinite series $$0.9+0.09+0.009+0.0009+...,$$ where each term of the sum is $$\frac{1}{10}$$ of the previous term. a. Find the sum of the first one, two, three, and four terms of the series. b. What value would you assign to the infinite series $$0.9 + 0.09 + 0.009 +$$ ⋅ ⋅ ⋅? Emeli Hagan 2021-01-22 Answered

### Find the sum of the infinite geometric series. $$1+\frac14+\frac{1}{16}+\frac{1}{64}+...$$ Brittney Lord 2021-01-19 Answered

### The next number in the series 13, 18, 16, 21, 19 Ayaana Buck 2021-01-10 Answered

### Determine the convergence or divergence of the series. $$\sum_{n=3}^\infty\frac{1}{n(\ln n)[\ln(\ln n)]^4}$$

Series math problems relate to the precalculus stage of mathematical studies that are met both by high school students and college learners dealing with analysis. The questions that are brought up by this specific approach will include solving series equations that represent the sum of a sequence to a certain number of terms. You can take a look at various series math examples that will help you approach series math questions that may relate either to statistical calculations or engineering equations that are mostly used in engineering and data programming.
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