Question

Qual a soma da PG infinita (2, 2/3, 2/9).​

Answer 1

$> resolucao \\ \\ \geqslant progressao \: geometrica \\ \\ q = \frac{a2}{a1} \\ q = \frac{ \frac{2}{3} }{2} \\ q = \frac{2}{3} \times \frac{1}{2} \\ q = \frac{2}{6} \\ q = \frac{1}{3} \\ \\ \\ > \: soma \: dos \: infinitos \: termos \: da \: pg \\ \\ \\ s = \frac{a1}{1 - q} \\ s = \frac{2}{1 - \frac{1}{3} } \\ s = \frac{2}{ \frac{2}{3} } \\ s = 2 \times \frac{3}{2} \\ s = \frac{6}{2} \\ s = 3 \\ \\ > < > < > < > < > < > < > >$