Question

soma dos termos de uma P.G infinita e calcule o limite da soma dos termos da p.g(1,1/2,1/4,1/8...)​

Answer 1

Soma dos termos de uma PG infinita

$\huge\boxed{\boxed{\boxed{\boxed{\mathsf{S_{n}=\dfrac{a_{1}}{1-q}}}}}}$

$\mathsf{(1,\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}...) }$

$\mathsf{q=\dfrac{1}{2}\div1=\dfrac{1}{2}}$

$\mathsf{S_{n}=\dfrac{1}{1-\frac{1}{2}}}\\\mathsf{S_{n}=\dfrac{1}{\frac{1}{2}}}\\\large\boxed{\boxed{\boxed{\boxed{\mathsf{S_{n}=2}}}}}$