Question

Calcule a razão de uma P.G na qual $a_{1} = \frac{1}{2} eo a_{4} = \frac{4}{27} ?$

Answer 1

$a_4 = a_1*q^3\\\\ \frac{4}{27} = \frac{1}{2}*q^3\\\\ q^3 = \frac{\frac{4}{27}}{\frac{1}{2}}\\\\\ q^3 = \frac{8}{27}\\\\ q = \sqrt[3]{\frac{8}{27}} \\\\\ \boxed{q=\frac{2}{3}}$