Question

Determine a razão da P.G. em que a2 = 3/8 e a6 = 486.

Answer 1

$> \: resolucao \\ \\ \geqslant \: progressao \: \: geometrica \\ \\ a6 = a2 \times q {}^{4} \\ 486 = \frac{3}{8} \times q {}^{4} \\ \frac{486}{ \frac{3}{8} } = q {}^{4} \\ 486 \times \frac{8}{3} = q {}^{4} \\ \frac{3888}{3} = q {}^{4} \\ 1296 = q {}^{4} \\ 6 {}^{4} = q {}^{4} \\ q = 6 \\ \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \geqslant$