Question

Calculați:
$( - 5) \times ( - 1) {}^{2n + 5} + ( - 6) \times ( - 1) {}^{2n + 6} \\ n \: apartine \: n \: mare \: adica \: multimea \: n \: mare$
Va rog dau coroana
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Answer 1

$(-5)\cdot (-1)^{2n+5}+(-6)\cdot (-1)^{2n+6}=\\ \\ =(-5)\cdot (-1)^{2n}\cdot (-1)^{5}+(-6)\cdot (-1)^{2n}\cdot (-1)^{6} = \\ \\ = (-5)\cdot 1\cdot (-1)+(-6)\cdot 1\cdot 1 = \\ \\ = 5-6 = \\ \\ = \boxed{-1}$