Consider the recursive relation $ a_0=1, \ a_1=1 \ \ and \ \ a_{n+1}=a_n+a_{n-1} $.
62120
Limit of the ratio of consecutive Fibonacci numbers
34025
Limit of the Sequence: $a_{n+1}=a_n+\frac{1}{a_n}$ with $a_1=1$
34714
What is the relationship between $\ker(A), \ker(A^2), \ldots, \ker(A^n)$?
110680
Convergence of recursive sequence $a_{n+1} =\frac{ 1}{k} \left(a_{n} + \frac{k}{a_{n}}\right)$
128517
A recursive sequence is defined by...
22869
Prove $[0, 1]$ and $(0, 1]$ are equinumerous by use of bijection
29266
Limit of a sequence defined by recursive relation : $ a_n = \sqrt{a_{n-1}a_{n-2}}$
69717
Find limit of recursive sequence $a_{n+1} =\sqrt{2+ \sqrt{a_n} }.$
83346
Finding a closed form $x_n$ for the recurrence relation $x_{n+2} = px_{n+1} + qx_n + r$
111805
If $a_{1}=1$ and $a_{n+1}=1+\frac{n}{a_{n}}$, then $a_{n}=\sqrt{n}+\frac{1}{2}-\frac{1}{8\sqrt{n}}+o\left(\frac{1}{\sqrt{n}}\right)$
71639
Proof $(1+1/n)^n$ is an increasing sequence
137012
Mathematical Induction for Recurrence Relation
89279
If $\sum a_n/k^n = 0$ for all $k$, then $a_n = 0$ for all $n$
136459
Prove ${n - 1 \choose k - 1} + {n - 2 \choose k - 1} + {n - 3 \choose k - 1} + \dots + {k - 1 \choose k - 1} = {n \choose k}$
39731
The relation $a\theta_n^Sb$ iff $(\forall x\in S^n)\, xa=xb$.
37569
Prove that $\binom{n}{r} + \binom{n}{r+1} = \binom{n+1}{r+1} $
34059
$(a^{2^n}+1,a^{2^m}+1)=1 or 2$