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visits member for 3 years, 7 months
seen Mar 30 at 3:52

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?
Oct
7
comment Show that if $r$ is an nth root of $1$ and $r\ne1$, then $1 + r + r^2 + … + r^{n-1} = 0$.
I think there might be an error here: it should be (1-r^n)/(1-r)