Recent questions in Series

PrecalculusAnswered question

smekkinnZuG 2022-11-25

Is

$\sum _{n=2}^{\mathrm{\infty}}\mathrm{log}(1+\frac{(-1{)}^{n}}{\sqrt{n}})$

convergent?

$\sum _{n=2}^{\mathrm{\infty}}\mathrm{log}(1+\frac{(-1{)}^{n}}{\sqrt{n}})$

convergent?

PrecalculusAnswered question

NormmodulxEE 2022-11-23

What is the result of

$\sum _{i=1}^{\mathrm{\infty}}\frac{1}{(2i-1{)}^{2}}$

$\sum _{i=1}^{\mathrm{\infty}}\frac{1}{(2i-1{)}^{2}}$

PrecalculusAnswered question

Kale Sampson 2022-11-21

Prove that $|\frac{1}{n}-\frac{1}{2n}-\frac{1}{2n+2}|<\frac{1}{{n}^{2}}$

PrecalculusAnswered question

django0a6 2022-11-21

Calculating a sum of the series $\sum _{n=1}^{\mathrm{\infty}}\frac{1}{{2}^{n-1}}$

PrecalculusAnswered question

Yaretzi Mcconnell 2022-11-20

Could you please explain how come:

$\sum _{i=1}^{\mathrm{\infty}}(0.5{)}^{i+1}(i+1)=2$

$\sum _{i=1}^{\mathrm{\infty}}(0.5{)}^{i+1}(i+1)=2$

PrecalculusAnswered question

Jonas Huff 2022-11-19

Knowing that $({a}_{i}{)}_{i\ge 1}$ prove that $\mathrm{\forall}n\in \mathbb{N}$

$\sum _{i=1}^{n}r{a}_{i}=r{\textstyle (}\sum _{i=1}^{n}{a}_{i}{\textstyle )}$

$\sum _{i=1}^{n}r{a}_{i}=r{\textstyle (}\sum _{i=1}^{n}{a}_{i}{\textstyle )}$

PrecalculusAnswered question

Jaslyn Sloan 2022-11-19

Check Convergence of $\sum _{n+1}^{\mathrm{\infty}}(-1{)}^{n}\ast (\frac{{e}^{n}}{n!})$

PrecalculusAnswered question

Amy Bright 2022-11-18

Calculating the sum of $f(x)=\sum _{n=0}^{\mathrm{\infty}}n\cdot {2}^{n}\cdot {x}^{n}$

PrecalculusAnswered question

inurbandojoa 2022-11-17

How prove that ${x}_{1}={x}_{2000}$ implies ${x}_{2}\ne {x}_{1999}$, where ${x}_{n+2}=\frac{{x}_{n}{x}_{n+1}+5{x}_{n}^{4}}{{x}_{n}-{x}_{n+1}}$ ?

PrecalculusAnswered question

Kale Sampson 2022-11-14

Suppose ${f}_{n}(x)={x}^{n}-{x}^{2n}$. Dose the sequence of functions $\{{f}_{n}\}$ converge uniformly?

PrecalculusAnswered question

perlejatyh8 2022-11-12

Evaluating a summation of inverse squares over odd indices

$\sum _{n=1}^{\mathrm{\infty}}\frac{1}{{n}^{2}}=\frac{{\pi}^{2}}{6}$

$\sum _{n=1}^{\mathrm{\infty}}\frac{1}{{n}^{2}}=\frac{{\pi}^{2}}{6}$

PrecalculusAnswered question

Ty Gaines 2022-11-08

Does $\sum _{k=1}^{\mathrm{\infty}}k({p}^{\frac{(k-1)k}{2}}-{p}^{\frac{(k+1)k}{2}})$ converge?

PrecalculusAnswered question

Brooke Richard 2022-11-07

Is it true that

$$\sum _{p\le x}(\mathrm{log}p{)}^{2}\sim x\mathrm{log}x\text{}\text{}\text{}?\phantom{\rule{5mm}{0ex}}(1)$$

$$\sum _{p\le x}(\mathrm{log}p{)}^{2}\sim x\mathrm{log}x\text{}\text{}\text{}?\phantom{\rule{5mm}{0ex}}(1)$$

PrecalculusAnswered question

Nicholas Hunter 2022-11-06

Does anyone know the sum of Fourier series

$$\sum _{m=0}^{\mathrm{\infty}}\frac{\mathrm{cos}(2m+1)x}{2m+1}?$$

$$\sum _{m=0}^{\mathrm{\infty}}\frac{\mathrm{cos}(2m+1)x}{2m+1}?$$

PrecalculusAnswered question

Adison Rogers 2022-11-06

Evaluate a sum with binomial coefficients: $\sum _{k=0}^{n}(-1{)}^{k}k{{\textstyle (}\genfrac{}{}{0ex}{}{n}{k}{\textstyle )}}^{2}$

PrecalculusAnswered question

InjegoIrrenia1mk 2022-11-06

Why does the series $\sum _{n=1}^{\infty}\mathrm{ln}(\frac{n}{n+1})$ diverges?

PrecalculusAnswered question

Anton Huynh 2022-11-05

Prove that for every $\underset{n\to \infty}{lim}{\int}_{n}^{n+p}\frac{\mathrm{sin}(x)}{x}=0$

PrecalculusAnswered question

figoveck38 2022-11-03

Calculate the sum of the next series and for which values of x it converges:

$$\sum _{n=0}^{\mathrm{\infty}}\frac{(x+2{)}^{n+2}}{{3}^{n}}$$

$$\sum _{n=0}^{\mathrm{\infty}}\frac{(x+2{)}^{n+2}}{{3}^{n}}$$

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.