Question

qual e o sexto termo da pg512,256?

 

Answer 1

Dados

$a_1=512$

$q= \frac{a_2}{a_1}~\to~ \frac{256}{512} ~\to~q= \frac{1}{2}$

$a_6=?$

$n=6$

Fórmula do termo geral

$a_n=a_1.q^{n-1}\\a_6=512.( \frac{1}{2} )^{6-1}\\ \\a_6= \frac{512}{32} \\ \\\boxed{a_6=16}$