Question

найти 5 член геометрической прогресии 3/4 2/3

Answer 1

$a_{1} = \frac{3}{4} ,$   $a_{2} = \frac{2}{3}$
$a_{2} = a_{1} * q$
$\frac{2}{3} = \frac{3}{4} * q$
$q = \frac{2}{3} : \frac{3}{4} = \frac{2}{3} * \frac{4}{3} = \frac{8}{9}$
$a_{5} = a_{1} * q^{4} = \frac{3}{4} * (\frac{8}{9})^{4} = \frac{3}{4} * \frac{4096}{6561} = \frac{1024}{2187}$