Question

determine o décimo termo da P.G 1/2/3/4

Answer 1

$P.G(\frac{1}{2};\frac{3}{4};...) \to \boxed{\boxed{Raz\~ao(q) = \frac{\frac{3}{4}}{\frac{1}{2}} = \frac{3}{4}*\frac{2}{1} =\frac{6}{4} = \frac{3}{2}}}$

$Resolu\c{c}\~ao \to \left\{\begin{array}{ccc}a_n = a_1*q^{n-1}\\\\a_{10} = \frac{1}{2}*(\frac{3}{2})^{10-1}\\\\a_{10} = \frac{1}{2}*(\frac{3}{2})^9\\\\ou\\\\a_{10} = \frac{1}{2}*(\frac{19683}{512})\\\\a_{10} = \frac{19683}{1024}\end{array}\right$

Espero ter ajudado. =^.^=