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Se considera segmentul \( AB \) de lungime \( AB \in \mathbb{N} \), \( n \in \mathbb{N}, n\geq 2 \) si punctele \( M_1,M_2,...,M_n \), respectiv mijloacele segmentelor \( [AB],[AM_1],...,[AM_{n-1}] \). Determinati \( n \) stiind ca \( AB+AM_1+...+AM_n=35840. \)
Narcis Turcu, Braila