# Showing a(n) = 3/2 a(n-1) - x (a(n-1))^2 with a(n) \in (0,1/2x) is monotonic

by SirHawrk   Last Updated November 08, 2018 23:20 PM

I am pretty certain, that a(n+1) \lt a(n) is true, and i also already proved, that a(n) \in is true. I tried using the assumption, that 0 \lt a(n) \lt 1/2x but that turned out terribly wrong. And now i don´t know how to proceed.

Tags :