Question

NUMA P.G CRESCENTE , O QUINTO TERMO VALE 48 E O OITAVO VALE 384 ENTAO O DECIMO VALE :
A) 3072 B)1024 C) 2048 D) 1536

Answer 1

$a_5=a_1*q^4\\ a^8=a_1*q^7\\\\ a_1*q^4 = 48\\ a_1*q^7=384\\\\ q^-^3 = \frac{1}{8}\\\\ q^3=8\\\\ \boxed{q=2}$

$a_5=a_1*q^4\\\\ 48=a_1*2^4\\\\ a_1=\frac{48}{16}\\\\ \boxed{a_1=4}$

$a_1_0=a_1*q^9\\\\\ a_1_0=4*2^9\\\\ a_1_0=2^2*2^9\\\\ a_1_0=2^1^1\\\\ \boxed{a_1_0=2048}$

C)