Question

Determine a soma da P.G (3, 1, 1/3,..).

Answer 1

$(3\,\,;1\,\,;\,\, \frac{1}{3} ) \\ \\ q = \frac{1}{3} \\ \\ S= \dfrac{a_1}{1-q} \\ \\ \\ S= \dfrac{3}{1- \frac{1}{3} } \\ \\ \\ S= \dfrac{3}{ \frac{2}{3} } \\ \\ \\ \boxed{S= \dfrac{9}{2} }$