Question

o5 termo da P.G.(2,8,..)

Answer 1

Olá,

sendo

$\begin{cases}a_1=2\\ q= \dfrac{a_2}{a_1}= \dfrac{8}{2}=4\\ n=5~termos\\ a_5=? \end{cases}$

podemos aplicar a fórmula do termo geral da P.G..

$a_n=a_1\cdot q^{n-1}\\ a_5=2\cdot4^{5-1}\\ a_5=2\cdot4^4\\ a_5=2\cdot256\\\\ \Large\boxed{a_5=512}$