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 $i$.
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 $i$.