✅ Resolvendo Progressão Geométrica (P.G.):
Para calcular P.G. devemos utilizar a seguinte fórmula:
[tex]\large\displaystyle\text{$\begin{gathered}A_{n} = A_{1}.q^{n - 1} \end{gathered}$}[/tex]
Onde:
[tex]\large\displaystyle\text{$\begin{gathered}A_{n} = Termo\:procurado \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}A_{1} = Primeiro\:termo \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}q = raz\tilde{a}o \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}n = Ordem\:termo\:procurado \end{gathered}$}[/tex]
Se:
[tex]\large\displaystyle\text{$\begin{gathered}A_{1} = 4\\q = 2\\n = 6 \end{gathered}$}[/tex]
Então:
[tex]\large\displaystyle\text{$\begin{gathered}A_{6} = 4.2^{6 - 1} = 4.2^{5} = 4.32 = 128 \end{gathered}$}[/tex]
✅ Portanto:
[tex]\large\displaystyle\text{$\begin{gathered}A_{6} = 128 \end{gathered}$}[/tex]
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