Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Possible Duplicate:
Find a closed form for this sequence: $a_{n+1} = a_n + a_n^{-1}$

If a sequence is defined as $ a_{n+1}=a_{n}+\frac{1}{a_{n}} $

where $a_1 = 1$

Find the general value of $a_n$ as $f(n)$


share|cite|improve this question

marked as duplicate by Did, Marvis, Hans Lundmark, Noah Snyder, Thomas Oct 17 '12 at 14:09

This question was marked as an exact duplicate of an existing question.

What is $a_0$ ? – Teddy Oct 17 '12 at 7:14
So you're looking for a closed (non-recursive) form for your $a_n$. To get there, you're really going to need an initial value ($a_0$ or $a_1$), as Teddy points out. – Cameron Buie Oct 17 '12 at 7:15
Hey! I included the required initial value. – Sai Krishna Deep Oct 17 '12 at 7:27
and also this – user17762 Oct 17 '12 at 7:42

I don't believe it exists, see:

share|cite|improve this answer
But no answer seems to justify the generalization of that sequence or how it came. – Sai Krishna Deep Oct 17 '12 at 14:10

Not the answer you're looking for? Browse other questions tagged or ask your own question.