Question

Calcule a soma dos 10 primeiros termos da PG (8,16) preciso da conta completa com a fórmula

Answer 1

$> \: resolucao \\ \\ \geqslant \: progressao \: \: geometrica \\ \\ q = \frac{a2}{a1} = \frac{16}{8} = 2 \\ \\ = = = = = = = = = = = = = = = = \\ \\ \\ > \: soma \: dos \: termos \: da \: pg \\ \\ \\ sn = \frac{a1(q {}^{n} - 1)}{q - 1} \\ \\ sn = \frac{8(2 {}^{10} - 1)}{2 - 1} \\ \\ sn = \frac{8(1024 - 1)}{1} \\ \\ sn = \frac{8 \times 1023}{1} \\ \\ sn = 8184 \\ \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \geqslant$