Question Number 50372 by prof Abdo imad last updated on 16/Dec/18
![prove that 2^(n+1) divide[(1+(√3))^(2n+1) ] for all n integr natural.](https://www.tinkutara.com/question/Q50372.png)
$${prove}\:{that}\:\mathrm{2}^{{n}+\mathrm{1}} \:{divide}\left[\left(\mathrm{1}+\sqrt{\mathrm{3}}\right)^{\mathrm{2}{n}+\mathrm{1}} \right]\:{for}\:{all}\:{n} \\ $$$${integr}\:{natural}. \\ $$