Respuesta :

ANSWER

-3,092,446

EXPLANATION

We want to find the sum of the first 10 terms of the geometric sequence given:

[tex]19,-95,475[/tex]

The common ratio of the sequence is -5 and the first term is 19.

The formula for the sum of the first n terms of a geometric sequence is:

[tex]S=\frac{a_1(1-r^n)}{1-r}[/tex]

Therefore, for the given sequence:

[tex]\begin{gathered} S=\frac{19(1-(-5)^{10})}{1-(-5)} \\ S=\frac{19(1-9765625)}{1+5}=\frac{19(-9765624)}{6} \\ S=-3092446 \end{gathered}[/tex]

That is the answer.

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