[tex] > resolucao \\ \\ \geqslant progressao \: geometrica \\ \\ \\ q = \frac{a2}{a1} \\ \\ q = \frac{ \frac{3}{4} }{ \frac{3}{8} } \\ \\ q = \frac{3}{4} \times \frac{8}{3} \\ \\ q = \frac{24}{12} \\ \\ q = 2 \\ \\ \\ = = = = = = = = \\ \\ \\ an = a1 \times q {}^{n - 1} \\ \\ 384 = \frac{3}{8} \times 2 {}^{n - 1} \\ \\ \frac{384}{ \frac{3}{8} } = 2 {}^{n - 1} \\ \\ 384 \times \frac{8}{3} = 2 {}^{n - 1} \\ \\ \frac{3072}{3} = 2 {}^{n - 1} \\ \\ 1024 = 2 {}^{n - 1} \\ \\ 2 {}^{10} = 2 {}^{n - 1} \\ \\ n - 1 = 10 \\ \\ n = 10 + 1 \\ \\ n = 11 \\ \\ \\ = = = = = = = = [/tex]
