Question

Interpole quatro meios geométricos entre 1,2 e 3750.

Answer 1

Olá tudo bom!

Explicação passo-a-passo:

Onde:

$\begin{gathered}Dados \to \left\{\begin{array}{ccc}a_1 = 2\\\\a_n = a_6 = 486\\\\n = 6\\\\q=?\end{array}\right\}\end{gathered}$

Dados→

a 1 =2

a n =a

6 =486

n=6

q=?

Onde:

$\begin{gathered}Raz\~ao (q)\to \left\{\begin{array}{ccc}a_n = a_1*q^{n-1}\\\\a_6 = a_1*q^{6-1}\\\\486 = 2*q^5\\\\q^5 = \frac{486}{2}\\\\q^5 = 243\\\\q = \sqrt[5]{243}\\\\q=\sqrt[5]{3^5}\\\\\boxed{\boxed{q=3}}\end{array}\right\end{gathered}$

Logo:

$\begin{gathered}Resolu\c{c}\~ao \to \left\{\begin{array}{ccc}P.G(2,?,?,?,?,486)\\\\\boxed{\boxed{P.G(2,6,18,54,162,486)}}\end{array}\right\end{gathered}$

Espero ter ajudado.