Question

sendo a1=54 e q= 1/3, calcule a4

Answer 1

Vamos aplicar o termo geral de P.G:

$\mathtt{A_n = A_1~.~q^{n-1}} \\ \\ \mathtt{A_4 = 54~.~\frac{1}{3}^{4-1}} \\ \\ \mathtt{A_4 = 54~.~\frac{1}{3}^{3}} \\ \\ \mathtt{A_4 = 54~.~\frac{1}{27}} \\ \\ \mathtt{A_4 = \frac{54}{27}} \\ \\ \mathtt{A_4 = 2} \\ \\ \\ \boxed{\boxed{\mathtt{Resposta: A_4 = 2}}}$