Respuesta :

kudzordzifrancis

Answer:

[tex]1023[/tex]

Step-by-step explanation:

The formula is

[tex]S_n = \frac{a(1 - {r}^{n}) }{1 - r} [/tex]

The given series is:

[tex]1 + 2 + 4 + 8 + ... + a_{10}[/tex]

where the first term is a=1 and the common ratio is

[tex]r = \frac{2}{1} = 2[/tex]

We plug in all these values to get:

[tex]S_{10} = \frac{1(1 - {2}^{10}) }{1 - 2} [/tex]

[tex]S_{10} = \frac{1 - 1024}{ - 1} = 1023[/tex]

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