Ted Flethuseo
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### Questions (16)

 8 Show that if $r$ is an nth root of $1$ and $r\ne1$, then $1 + r + r^2 + … + r^{n-1} = 0$. 3 Trying to balance equation 2 write $\lvert 10+4i\rvert$ in the form $z=re^{i\theta}$ 2 Need to find $\lim_{n \to \infty} n \log({1+x/n})$ 1 Proof that the series $\sum^\infty_{n=2} \frac{2}{n^{2}\ln{n}}$ converges?

### Reputation (232)

 +5 Proof that the series $\sum^\infty_{n=2} \frac{2}{n^{2}\ln{n}}$ converges? +5 write formula to predict nth term of sequence $1, 1\cdot3, 1\cdot3\cdot5, 1\cdot3\cdot5\cdot(2n-1)$ +40 Show that if $r$ is an nth root of $1$ and $r\ne1$, then $1 + r + r^2 + … + r^{n-1} = 0$. +5 write $\lvert 10+4i\rvert$ in the form $z=re^{i\theta}$

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### Tags (12)

 0 calculus × 4 0 complex-numbers × 2 0 sequences-and-series × 4 0 power-series 0 statistics × 3 0 divergent-series 0 limits × 2 0 convergence 0 proof-writing × 2 0 calculator

### Accounts (8)

 Stack Overflow 1,178 rep 52243 Super User 424 rep 1411 TeX - LaTeX 283 rep 59 Mathematics 232 rep 26 Area 51 151 rep 1