hi,

I am having trouble trying to find a general rule for the sequence defined as $\displaystyle a_1 =10$, $\displaystyle a_{k+1} = \frac{(a_k)^2}{a_k+1}$

I have the first n terms $\displaystyle a_1 = 10, a_2 = 4/3, a_3 = 9/4, a_4 = 16/5 .. $ but cant see a pattern..

Thanks,