Question

O 6° termo da PG (8,24,72..)

Answer 1

Vamos começar calculando a razao da PG:

$razao = \frac{a_{n+1}}{a_n}\\\\razao=\frac{a_2}{a_1}\\\\razao=\frac{24}{8}\\\\razao=3$

Agora utilizando a equação do termo geral:

$a_n=a_m.q^{n-m}\\\\a_6=a_1.q^{6-1}\\\\a_6=8\;.\;3^5\\\\a_6=8\;.\;243\\\\a_6=1944$