Newbetuts

Let $\{a_n\}$ be defined as follows: $a_1 = 2$, $a_{n+1}=\frac{1}{3-a_n}$, if $n \geq 1$. Does $\{a_n\}$ converge?

Prove that the sequence $a_{n+1} =\frac{1}{2}\left(a_{n}+\frac{c}{a_{n}}\right)$ is convergent and find its limit

What is the limit of x(1)=0, x(2)=1, x(n) = (x(n-1)+x(n-2))/2 [duplicate]

Difficult Recurrence

Stirling number of the first kind: Proof of Recursion formula

Monotone and Bounded Sequences: Proof

How to solve second degree recurrence relation?

Find a recurrence relation for the number of $n$-digit binary sequences with no pair of consecutive $1$s

Recurrence for $q$-analog for the Stirling numbers?

Solve the recurrence

We define a sequence of rational numbers {$a_n$} by putting $a_1=3$ and $a_{n+1}=4-\frac{2}{a_n}$ for all natural numbers. Put $\alpha = 2 + \sqrt{2}$

What's wrong in this method of solving a difference equation?

Solving recurrence $T(n) = T(\lceil n/2 \rceil) + T(\lfloor n/2 \rfloor) + \Theta(n)$

The $n$th derivative of $f(e^x)$

Calculating growth rate of a population of Minecraft chickens

New posts in recurrence-relations

Obtaining binomial coefficients without "counting subsets" argument

Recurrence formula for division of a sphere by n great circles

Making something a control parameter or a variable when analysing a dynamical system

Fixed point iterations for real functions - depending on $f'(x)$?

Limit of the sequence by recurrence of mean of the last two values.

Let $\{a_n\}$ be defined as follows: $a_1 = 2$, $a_{n+1}=\frac{1}{3-a_n}$, if $n \geq 1$. Does $\{a_n\}$ converge?

Prove that the sequence $a_{n+1} =\frac{1}{2}\left(a_{n}+\frac{c}{a_{n}}\right)$ is convergent and find its limit

What is the limit of x(1)=0, x(2)=1, x(n) = (x(n-1)+x(n-2))/2 [duplicate]

Difficult Recurrence

Stirling number of the first kind: Proof of Recursion formula

Monotone and Bounded Sequences: Proof

How to solve second degree recurrence relation?

Find a recurrence relation for the number of $n$-digit binary sequences with no pair of consecutive $1$s

Recurrence for $q$-analog for the Stirling numbers?

Solve the recurrence

We define a sequence of rational numbers {$a_n$} by putting $a_1=3$ and $a_{n+1}=4-\frac{2}{a_n}$ for all natural numbers. Put $\alpha = 2 + \sqrt{2}$

What's wrong in this method of solving a difference equation?

Solving recurrence $T(n) = T(\lceil n/2 \rceil) + T(\lfloor n/2 \rfloor) + \Theta(n)$

The $n$th derivative of $f(e^x)$

Calculating growth rate of a population of Minecraft chickens