Let $A,B,C > 0 $ $a_1 = A$ $a_2 = B$ For integer $ n > 2 : $ $$a_n = \frac{a_{n-1}(a_{n-1} + C)}{a_{n-2}}.$$ $$ T = \lim_{k \to \infty} \frac{a_k}{ a_{k - 1}}.$$ Notice the limit seems to depend on 3 variables, but actually only depends on 2 ; $A/C,B/C$. You can check that if you multiply...