[tex] > resolucao \\ \\ \geqslant progressao \: geometrica \\ \\ q = \frac{a2}{a1} \\ \\ q = \frac{ \frac{ - 1}{3} }{ \frac{ - 1}{9} } \\ \\ q = - \frac{1}{3} \times - \frac{9}{1} \\ \\ q = \frac{ - 9}{ - 3} \\ \\ q = 3 \\ \\ = = = = = = = = = = = = = = = = = \\ \\ \\ \geqslant \: o \: quinto \: termo \: da \: pg \\ \\ \\ an = a1 \times q {}^{n - 1} \\ an = - \frac{1}{9} \times 3 {}^{5 - 1} \\ an = - \frac{1}{9} \times 3 {}^{4} \\ an = - \frac{1}{9} \times 81 \\ an = - \frac{81}{9} \\ an = - 9 \\ \\ \\ > < > < > < > < > < > < > < > > > [/tex]
