soit (u_n )_(n∈N^∗ ) une suite a termes positifs telle que: ∀n∈N^∗ ,Σ_(k=1) ^n u_k ^3 =(Σ_(k=1) ^n u_k )^2 montrer que ∀n∈N^∗ , u


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Question Number 21282 by youssoufab last updated on 18/Sep/17

$s o i t {(u_{n})}_{n \in N^{}} u n e s u i t e a t e r m e s p o s i t i f s t e l l e q u e :$ $\forall n \in N^{}, \underset{k = 1}{\sum^{n}} u_{k}^{3} = {(\underset{k = 1}{\sum^{n}} u_{k})}^{2}$ $m o n t r e r q u e \forall n \in N^{*}, u_{n} = n$
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