1
$\begingroup$

Let $a,b,c \ge 0$ with a series such that

$a_1 = 0$

$a_i \le a + b(c + a_{i-1})a_{i-1}$

I am looking for an upper bound on $a_i$ (tight as possible) in terms of $a$,$b$,$c$ and $i$.

  • 0
    @Ilya, yes, that would be the extreme case, I believe, so without loss of generality, we can assume an equality sign there.2012-05-31

0 Answers 0