evanfuller58 evanfuller58
  • 08-08-2021
  • Mathematics
contestada

Find the sum of the infinite geometric series.
2- 2/3+ 2/9 -2/27+...

Respuesta :

surjithayer10otahza surjithayer10otahza
  • 08-08-2021

Answer:

3/2

Step-by-step explanation:

[tex]2-\frac{2}{3} +\frac{2}{9} -\frac{2}{27} +...\\r=\frac{-\frac{2}{3} }{2} =-\frac{1}{3} ,|r|<1\\s_{\infty}=\frac{a}{1-r} \\=\frac{2}{1+\frac{1}{3} } \\=\frac{2}{\frac{4}{3} }\\ =\frac{3}{2}[/tex]

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