Question

determinati n € N pentru care numărul
$\frac{3}{2n + 1}$
este natural
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Answer 1

Răspuns:

Explicație pas cu pas:

3/(2n + 1)

n € N

2n + 1 € D3

2n + 1 € { 1 , 3 } | - 1

2n € { 0 , 2 } | : 2

n € { 0 , 1 }

Answer 2

 

$\displaystyle\bf\\ \frac{3}{2n+1}\in N~~si~~n\in N\\\\2n-1 \in D_3\\\\D_3=\{1;~3\}\\\\2n+1=1\\2n=1-1\\2n=0\\\boxed{\bf~n=0}\\\\2n+1=3\\2n=3-1\\2n=2\\\\n=\frac{2}{2}\\\\\boxed{\bf~n=1}\\\\\boxed{\boxed{\bf~n\in\{0;~1\}}}$