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awarded  Self-Learner
Apr
17
comment Convergence of the sequence $x_1 = 1$ and $x_{n+1} = 4 - \frac{1}{x_n}$ for all $n \geq 1$.
@user21820 Yes: I believe this observation should simply be pointed to in justifying the final choice of root to which the sequence converges. (I think it is also quite possible that "disregard the negative answer" was intended to mean "disregard the answer with a subtraction sign.") The OP asks about correctness of the proof; I think this last bit of clarity would be helpful.
Apr
17
answered Convergence of the sequence $x_1 = 1$ and $x_{n+1} = 4 - \frac{1}{x_n}$ for all $n \geq 1$.
Apr
14
revised Prove Using Induction: $\sum_{k=1}^{n} 1/k(k+1) = n/(n+1)$
added 261 characters in body; edited title
Apr
6
answered How to derive the formula for the sum of the first $n$ odd numbers: $n^2=\sum_{k=1}^n(2k-1).$
Apr
3
accepted How many $a$-nary sequences of length $b$ never have $c$ consecutive occurrences of a digit?
Apr
3
comment How many $a$-nary sequences of length $b$ never have $c$ consecutive occurrences of a digit?
Awesome. Is there a straightforward way to extract the coefficients?
Apr
3
comment The number of words of length $n$ from specific alphabet with rule of creating.
+1. Do you happen to know if a similar approach could work here?
Mar
25
comment Why does the limit of this function not exist: $\lim_{x\to \infty} \frac{1}{1+\cos(x)}$
@immibis No, I quite deliberately wrote sequence rather than function.
Mar
24
revised Let $p<q$ be distinct prime numbers and $G$ be a group with $|G|=pq$
TeXed
Mar
24
revised Finding a spanned subspace and its basis for three given vectors in $\mathbb{R}^3$
Edited the title so that it better accords with the question (for google indexing etc).
Mar
24
answered Proof that $2^{2^x}$ ends in 6
Mar
24
answered Why does the limit of this function not exist: $\lim_{x\to \infty} \frac{1}{1+\cos(x)}$
Mar
24
comment What is the probability that a point chosen randomly from inside an equilateral triangle is closer to the center than to any of the edges?
Quadrature! Great; thanks.
Mar
23
revised What is the probability that a point chosen randomly from inside an equilateral triangle is closer to the center than to any of the edges?
I added the word 'equilateral' to the title, for it is present in the question; separately, I added the calc tag.
Mar
16
awarded  Popular Question
Mar
15
comment Learning path to the proof of the Weil Conjectures and étale topology
(I'd already communicated a copy to @JavierÁlvarez some time ago; a copy of my simplistic thesis can be now found linked above!)
Mar
15
revised Learning path to the proof of the Weil Conjectures and étale topology
Put in a link to my undergraduate thesis (in all its glory...) and a T. Tao blog post
Mar
10
awarded  Good Question
Mar
4
comment Relation between Bombieri theorem and p-adic squares
Gouvea seemingly reiterates this attribution ("According to Koblitz, this is a special case of a theory due to Bombieri") but delves no deeper in the Hints and Comments to an earlier version of his $p$-adic text.