Question

Demonstrati că fractia - 13 la puterea n+1 + 13 la puterea n supra 7 la puterea n + 7 la puterea n+1 - se simplifica prin 14 pt orice n apartine N*

Answer 1

$\frac{ 13^{n+1} + 13^{n} }{ 7^{n} + 7^{n+1} } = \frac{ 13^{n}(13+1)}{ 7^{n} (1+7)} =\frac{ 13^{n}14}{ 7^{n} 8} = se simplifica doar prin 2$