Question

calcule a razão da Pg onde:

Answer 1

Basta utilizar a equação do termo geral da PG:

$a_n=a_m.q^{n-m}\\\\a)\\a_7=a_1.q^{7-1}\\\\q^6=\frac{4374}{6}\\\\q^6=729\\\\q=\sqrt[6]{729}\\\\q=3\\\\\\b)\\a_6=a_1.q^{6-1}\\\\q^5=\frac{-320}{10}\\\\q^5=-32\\\\q=\sqrt[5]{-32}\\\\q=-2$