Question

Qual a soma da PG?

ALGUÉM ME AJUDA

Answer 1

Resposta:

$s = \frac{a1}{1 - q}$

$q = \frac{ \frac{4}{25} }{ \frac{2}{5} } = \frac{4}{25} \times \frac{5}{2} = \frac{20}{50} = \frac{2}{5}$

$s = \frac{ \frac{2}{5} }{1 - \frac{2}{5} } \\ s = \frac{ \frac{2}{5} }{ \frac{5}{5} - \frac{2}{5} } \\ s = \frac{ \frac{2}{5} }{ \frac{3}{5} } \\ s = \frac{2}{5} \times \frac{5}{3} \\ s = \frac{10 \div 5}{15 \div 5} \\ s = \frac{2}{3}$