Respuesta :

The formula for an infinite geometric sequence is the following:

[tex]S_{∞}= \frac{a_{1}}{1-r} [/tex]

Just substitute the values of [tex]a_{1}[/tex] and r into the formula.

[tex]S_{∞}=\frac{10}{1-0.5} [/tex]
[tex]S_{∞}=\frac{10}{0.5} [/tex]
[tex]S_{∞}= 20[/tex]

Therefore, the answer is 20.

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