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Determinati numarul natural n,pentru care 2x n+1 divide pe 18.

Răspuns :

n+1=18/2
n+1=9
n=8
succes
2n+1|18⇒2n+1∈D₁₈
D₁₈={1;2;3;6;9;18;}
Daca 2n+1=1⇒2n=0⇒n=0
Daca 2n+1=2⇒2n=1⇒imposibil in numere naturale
Daca 2n+1=3⇒2n=2⇒n=1
Daca 2n+1=6⇒2n=5⇒imposibil in numere naturale
Daca 2n+1=9⇒2n=8⇒n=4
Daca 2n+1=18⇒2n=17⇒imposibil in numere naturale


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