Question

Calcule a razão de uma pg sabendo que a14=16.384 e o al=2

Answer 1

$> \: resolucao \\ \\ \geqslant \: progressao \: \: geometrica \\ \\ an = 16384 \\ a1 = 2 \\ n = 14 \\ \\ = = = = = = = = = = = = =$

$> \: a \: razao \: da \: pg \\ \\ an = a1 \times q {}^{n - 1} \\ 16384 = 2 \times q {}^{14 - 1} \\ 16384 = 2 \times q {}^{13} \\ \frac{16384}{2} = q {}^{13} \\ 8192 = q {}^{13} \\ 2 {}^{13} = q {}^{13} \\ q = 2 \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant$