Calcule a soma da PG infinita (1, 1/10, 1/100)
Soluções para a tarefa
Respondido por
0
Boa tarde !
Solução!
PG infinita!
Dados!
![a1=1\\\\\\
q= \dfrac{a2}{a1}\\\\\\\
q= \dfrac{1}{ \dfrac{10}{1} }\\\\\\\\
q= \dfrac{1}{10}](https://tex.z-dn.net/?f=a1%3D1%5C%5C%5C%5C%5C%5C%0A%0Aq%3D+%5Cdfrac%7Ba2%7D%7Ba1%7D%5C%5C%5C%5C%5C%5C%5C%0Aq%3D+%5Cdfrac%7B1%7D%7B+%5Cdfrac%7B10%7D%7B1%7D+%7D%5C%5C%5C%5C%5C%5C%5C%5C%0Aq%3D+%5Cdfrac%7B1%7D%7B10%7D++%0A+ "a1=1\\\\\\
q= \dfrac{a2}{a1}\\\\\\\
q= \dfrac{1}{ \dfrac{10}{1} }\\\\\\\\
q= \dfrac{1}{10}")
![S_{\infty}= \dfrac{1}{1- \dfrac{1}{10} }\\\\\\
S_{\infty}= \dfrac{1}{10- \dfrac{1}{10} }\\\\\\
S_{\infty}= \dfrac{1}{ \dfrac{9}{10} }\\\\\\
S_{\infty}= 1 \times \dfrac{10}{9}\\\\\\\
S_{\infty}= \dfrac{10}{9}\\\\\\
Ou\\\\\\\
S_{\infty}= 0,9](https://tex.z-dn.net/?f=S_%7B%5Cinfty%7D%3D+%5Cdfrac%7B1%7D%7B1-+%5Cdfrac%7B1%7D%7B10%7D+%7D%5C%5C%5C%5C%5C%5C%0AS_%7B%5Cinfty%7D%3D+%5Cdfrac%7B1%7D%7B10-+%5Cdfrac%7B1%7D%7B10%7D+%7D%5C%5C%5C%5C%5C%5C%0AS_%7B%5Cinfty%7D%3D+%5Cdfrac%7B1%7D%7B+%5Cdfrac%7B9%7D%7B10%7D+%7D%5C%5C%5C%5C%5C%5C%0AS_%7B%5Cinfty%7D%3D+1+%5Ctimes+%5Cdfrac%7B10%7D%7B9%7D%5C%5C%5C%5C%5C%5C%5C%0AS_%7B%5Cinfty%7D%3D++%5Cdfrac%7B10%7D%7B9%7D%5C%5C%5C%5C%5C%5C%0AOu%5C%5C%5C%5C%5C%5C%5C+%0AS_%7B%5Cinfty%7D%3D++0%2C9 "S_{\infty}= \dfrac{1}{1- \dfrac{1}{10} }\\\\\\
S_{\infty}= \dfrac{1}{10- \dfrac{1}{10} }\\\\\\
S_{\infty}= \dfrac{1}{ \dfrac{9}{10} }\\\\\\
S_{\infty}= 1 \times \dfrac{10}{9}\\\\\\\
S_{\infty}= \dfrac{10}{9}\\\\\\
Ou\\\\\\\
S_{\infty}= 0,9")
Boa tarde!
Bons estudos!
Solução!
PG infinita!
Dados!
Boa tarde!
Bons estudos!
Perguntas interessantes
Matemática,
11 meses atrás
Matemática,
11 meses atrás
Inglês,
11 meses atrás
História,
1 ano atrás
História,
1 ano atrás
Administração,
1 ano atrás