−1≤a_0 ≤b_0 ≤c_0 ≤1 ∀n∈N a_(n+1) =∫_(−1) ^1 min(x,b_n ,c_n )dx b_(n+1) =∫_(−1) ^1 mil(x,a_n ,c_n )dx c_(n+1) =∫_(−1) ^1 max(x,b_n ,a_n )dx mil(a,b,c) est le terme median de (a,b,c) nature de (a_n ),(b_n ),(c


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Question Number 160807 by ArielVyny last updated on 07/Dec/21

$- 1 ⩽ a_{0} ⩽ b_{0} ⩽ c_{0} ⩽ 1$ $\forall n \in N$ $a_{n + 1} = \int_{- 1}^{1} m i n (x, b_{n}, c_{n}) d x$ $b_{n + 1} = \int_{- 1}^{1} m i l (x, a_{n}, c_{n}) d x$ $c_{n + 1} = \int_{- 1}^{1} m a x (x, b_{n}, a_{n}) d x$ $m i l (a, b, c) e s t l e t e r m e m e d i a n d e (a, b, c)$ $n a t u r e d e (a_{n}), (b_{n}), (c_{n})$
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