convergence of sequence $a_{n+1}=\sqrt{a_n+2}$
61212
Using BMCT to prove the sequence $a_{n+1} = \sqrt{2 + a_n}$ is bounded and increasing.
55826
Convergence of sequence of real numbers and (sub)subsequence
29266
Limit of a sequence defined by recursive relation : $ a_n = \sqrt{a_{n-1}a_{n-2}}$
123253
Limit of a sequence $a_1=1;a_{n+1}=(n+1)(1+a_n)$
54376
Convergence of the series $\sqrt[n]n-1$
141463
Convergence of $x_{n+1} = \frac12(x_n + \frac2{x_n}).$
15319
Convergence of recurrence sequence
46830
Prove that the sequence $a_{n+1} =\frac{1}{2}\left(a_{n}+\frac{c}{a_{n}}\right)$ is convergent and find its limit
49828
Show that the sequence $\sqrt{2},\sqrt{2\sqrt{2}},\sqrt{2\sqrt{2\sqrt{2}}},...$ converges and find its limit.
76290
arithmetic mean of a sequence converges
141484
Convergence of a sequence by convergence of sub-subsequence
64329
Limit of the recursive sequence $a_{n+1} = \frac{1}{2}(a_n + \frac{p}{a_n})$
142
Showing the sequence converges to the square root
17902
Prove or disprove: $\sum a_n$ convergent, where $a_n=2\sqrt{n}-\sqrt{n-1}-\sqrt{n+1}$.
74542
Convergence of a sequence whose even and odd subsequences converge
49860
Determine the convergence of $\sum\limits_{n=2}^\infty \frac{\sqrt{n+1}}{n(n-1)}$
129351
Show that $\sqrt{n^2+1}-n$ converges to 0