0
$\begingroup$

i just started university so im pretty new to all this new math. My problem is to solve this recursive sequence: $a_{n+1} = a_{n}^3$ with: $a_{0} = \frac{1}{2}$ and: $n \in N$

I've to analyse convergence and if its convergent i've to get the limit of this sequence.

I dont know how to start and this to the power of three confuses me.

thanks in advance!

  • 0
    Hi John, welcome to math.stackexchange! I suggest for your problem to write out the first 4 or 5 terms of the sequence and see if you notice a pattern. Maybe you can guess if it converges or not from that.2012-04-11
  • 1
    We have $0.2012-04-11

3 Answers 3