Question

encontre o 8 termo da P.G (600,200,...)

Answer 1

Calculando a razão q:

q=200/600
q=1/3

Usando a Lei do Termo Geral:

$a_{n}=a_{1}. q^{n-1}$ 

$a_{8}=600. ( \frac{1}{3} )^{8-1} \\ \\ a_{8}=600. ( \frac{1}{3} )^{7} \\ \\ a_{8}= \frac{600}{3^{7}} \\ \\ a_{8}= \frac{600}{2187} \\ \\ \boxed{\boxed{a_{8}= \frac{200}{729} }}$