Question

determine a soma dos elementos de sequncia infinita (4;2;1;0,50;0,25)

Answer 1

Soma dos termos de uma PG infinita

$\boxed{\boxed{\boxed{\mathsf{s_{\infty}=\dfrac{a_{1}}{1-q}}}}}$

$\mathsf{a_{1}=4}\\\mathsf{q=\dfrac{2\div2}{4\div2}=\dfrac{1}{2}}$

$\mathsf{s_{\infty}=\dfrac{4}{1-\dfrac{1}{2}}}\\\mathsf{s_{\infty}=\dfrac{4}{\dfrac{1}{2}}=4\times2=8}$