General formula of a sequence $a_{n+1} = 2a_n + 1/a_n$
121167
explicit formula for recurrence relation $a_{n+1}=2a_n+\frac{1}{a_n}$
144890
Recurrence $f_{n+2}=af_{n+1}+bf_n$
29266
Limit of a sequence defined by recursive relation : $ a_n = \sqrt{a_{n-1}a_{n-2}}$
686
$\sqrt{c+\sqrt{c+\sqrt{c+\cdots}}}$, or the limit of the sequence $x_{n+1} = \sqrt{c+x_n}$
70561
limit of the sequence $a_n=1+\frac{1}{a_{n-1}}$ and $a_1=1$
93545
Showing the sequence converges $a_{1}=\frac{1}{2}$, $a_{n+1}=\frac{1}{2+a_{n}}$
101766
Recursive sequence convergence.: $s_{n+1}=\frac{1}{2} (s_n+s_{n-1})$ for $n\geq 2$, where $s_1>s_2>0$
64329
Limit of the recursive sequence $a_{n+1} = \frac{1}{2}(a_n + \frac{p}{a_n})$
41445
Show that the sequence $a_n\leq a_{2n}+a_{2n+1}$ diverges
89705
How to solve $a_n = 2a_{n-1} + 1, a_0 = 0, a_1 = 1$?
5797
Limit of the sequence $a_n=\sqrt[n+1]{(n+1)!}-\sqrt[n]{n!}$
139074
Question about $a_n=\sum_{k=1}^n \frac{n}{n^2+k}\ $for $ n \in\mathbb{N}$
96945
General formula of $\sum_{n\ge1}{\binom{2n}{n}^{-k}}$.
83346
Finding a closed form $x_n$ for the recurrence relation $x_{n+2} = px_{n+1} + qx_n + r$
69717
Find limit of recursive sequence $a_{n+1} =\sqrt{2+ \sqrt{a_n} }.$
83638
Suppose $0,0,1,0,0,1,0,0,1,...$ is a sequence. What is the general term of this sequence?
47922
Prove that the sequence $(a_n)$ defined by $a_0 = 1$, $a_{n+1} = 1 + \frac 1{a_n}$ is convergent in $\mathbb{R}$