Ted Flethuseo
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 Dec 19 awarded Constituent Jul 2 awarded Curious Nov 11 asked Proof that the series $\sum^\infty_{n=2} \frac{2}{n^{2}\ln{n}}$ converges? Nov 4 comment write formula to predict nth term of sequence $1, 1\cdot3, 1\cdot3\cdot5, 1\cdot3\cdot5\cdot(2n-1)$ Yea that's right, 2^n n! would be the answer, thanks Taladris Nov 4 comment write formula to predict nth term of sequence $1, 1\cdot3, 1\cdot3\cdot5, 1\cdot3\cdot5\cdot(2n-1)$ I did.. but I just don't know how to represent the product of the sequence at the bottom such that 1*3*(2n-1). Nov 4 comment write formula to predict nth term of sequence $1, 1\cdot3, 1\cdot3\cdot5, 1\cdot3\cdot5\cdot(2n-1)$ What if I wanted only the even numbers 2, 2*4, 2*4*6, 2*4*6*8 Nov 4 accepted write formula to predict nth term of sequence $1, 1\cdot3, 1\cdot3\cdot5, 1\cdot3\cdot5\cdot(2n-1)$ Nov 4 comment write formula to predict nth term of sequence $1, 1\cdot3, 1\cdot3\cdot5, 1\cdot3\cdot5\cdot(2n-1)$ Would it work like this as well: (2n-1)!/(2^n(n-1)!) ? Nov 4 asked write formula to predict nth term of sequence $1, 1\cdot3, 1\cdot3\cdot5, 1\cdot3\cdot5\cdot(2n-1)$ Oct 14 accepted What does $\sum_{k=1}^{\infty} \frac{4^k+5}{5^k + k}$ converge to? Oct 14 accepted Does $\sum_{i=1}^{\infty} \frac{3-\cos{i}}{i^{2/3}-2}$ converge? Oct 14 comment Does $\sum_{i=1}^{\infty} \frac{3-\cos{i}}{i^{2/3}-2}$ converge? Ok, I see it. Thx. Oct 14 comment What does $\sum_{k=1}^{\infty} \frac{4^k+5}{5^k + k}$ converge to? How did you get to (1+5/4^k)/(1+k/5^k)? Oct 14 comment Does $\sum_{i=1}^{\infty} \frac{3-\cos{i}}{i^{2/3}-2}$ converge? I get that, but the ratio. how do you know that the ratio on the right is always smaller than the one on the left. Oct 14 comment Does $\sum_{i=1}^{\infty} \frac{3-\cos{i}}{i^{2/3}-2}$ converge? could you be more explicit on how you prove that (3-cosi)/(i^(2/3)-2) >= 2/i^(2/3). I mean I don't think this always true for i >= 1 Oct 14 comment What does $\sum_{k=1}^{\infty} \frac{4^k+5}{5^k + k}$ converge to? Oh I believe it converges! Isn't (4/5)^k a suitable comparison? Oct 14 asked What does $\sum_{k=1}^{\infty} \frac{4^k+5}{5^k + k}$ converge to? Oct 14 comment Does $\sum_{i=1}^{\infty} \frac{3-\cos{i}}{i^{2/3}-2}$ converge? and the series diverges by comparison test, to a diverging p series. Right? Oct 14 comment Does $\sum_{i=1}^{\infty} \frac{3-\cos{i}}{i^{2/3}-2}$ converge? bottom is always positive after 4. and how did you determine that 2 is always less than 3-cos(i) Oct 14 asked Does $\sum_{i=1}^{\infty} \frac{3-\cos{i}}{i^{2/3}-2}$ converge?