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Determinati nr nat n pt care 2 x n+1 divide pe 18

Răspuns :

[tex]2\cdot(n+1) | 18\Rightarrow 2\cdot(n+1)\in D_{18} =\{1,2,3,6,9,18\}.\\2\cdot(n+1)=1~! \\ 2\cdot(n+1)=2\Rightarrow \boxed{n=0} \\ 2\cdot(n+1)=3~! \\ 2\cdot(n+1)=6\Rightarrow \boxed{n=2} \\ 2\cdot(n+1)=9~!~ \\ 2\cdot(n+1)=18\Rightarrow \boxed{n=8}\\ Obs.:~!~inseamna~nu~convine.[/tex]