let-consider-the-sequence-u-n-u-0-0-1-and-n-N-u-n-1-u-n-u-n-2-1-give-a-simple-equivalent-of-u-n-2-find-the-nature-of-u-n-

Question Number 32033 by abdo imad last updated on 18/Mar/18

l e t c o n s i d e r t h e s e q u e n c e (u_{n}) / u_{0} \in [0, 1] a n d

\forall n \in N u_{n + 1} = u_{n} - u_{n}^{2}

1) g i v e a s i m p l e e q u i v a l e n t o f u_{n}

2) f i n d t h e n a t u r e o f Σ u_{n} .