Question

Calcular a soma dos termos da P.G. ( 1,1/4 , 1/16, ... , ... , ... , ... ) 

Answer 1

$\boxed{\text{S}_i = \frac{a_1}{1 - q}} \\\\ \bullet a_1 = 1 \\ \bullet \text{q} = \frac{1}{4}, \text{pois} \ \frac{1}{4} : 1 \ \text{ou} \ \frac{1}{16} : \frac{1}{4} = \frac{1}{4} \\\\ \text{S}_i = \frac{1}{1 - \frac{1}{4}} = \frac{1}{\frac{4}{4} - \frac{1}{4}} = \frac{1}{\frac{3}{4}} = 1 \cdot \frac{4}{3} = \boxed{\frac{4}{3}}$