Question

calcule a soma da P.G infinito

(1/3,1/9,1/27,...)​

Answer 1

$> resolucao \\ \\ \\ > q = \frac{a2}{a1} \\ >q = \frac{1}{9} \div \frac{1}{3} \\ > q = \frac{1}{9} \times \frac{3}{1} \\ > q = \frac{3}{9} \\ > q = \frac{1}{3} \\ \\ \\ s = \frac{a1}{1 - q} \\ s = \frac{1}{3} \div 1 - \frac{1}{3} \\ s = \frac{1}{3} \div \frac{2}{3} \\ s = \frac{1}{3} \times \frac{3}{2} \\ s = \frac{3}{6} \\ s = \frac{1}{2} \\ \\ \\ \\ > > >$