Question

Calcule a soma geral da PG infinita (-2,-¼,-⅛,...).
coloquem o cálculo!!!​

Answer 1

$\large\boxed{\begin{array}{l}\underline{\sf Soma\,dos\,termos\,da\,PG\,infinita}\\\Huge\boxed{\boxed{\boxed{\rm S_n=\dfrac{a_1}{1-q}}}}\\\\\rm\bigg(-2,-\dfrac{1}{4},-\dfrac{1}{8}\dotsc\bigg)\,n\tilde ao\,\acute e\,PG\\\rm pois~\dfrac{-\dfrac{1}{4}}{-2}=\dfrac{1}{4}\cdot\dfrac{1}{2}=\dfrac{1}{8}\\\\\rm mas\,\dfrac{-\dfrac{1}{8}}{-\dfrac{1}{4}}=\dfrac{1}{8}\cdot 4=\dfrac{1}{2}\\\\\rm a\,raz\tilde ao\,n\tilde ao\,\acute e\,constante.\end{array}}$