Question

Calcule a soma da PG infinita (1, 1/10, 1/100)

Answer 1

$S_\infty=\frac{a_1}{1-q}$

$q=\frac{1}{10}\div1=\frac{1}{10}$

$a_1=1$

$S_\infty=\frac{1}{1-\frac{1}{10}}=\frac{1}{\frac{9}{10}}=\frac{10}{9}$