3 years ago

Find the sum of the geometric sequence –3, 15, –75, 375, … when there are 8 terms and select the correct answer below.

1 answer:

8 0

Hello,

Answer B

$(-3)*(-5)^0\\
+(-3)*(-5)^1\\
+(-3)*(-5)^2\\
+(-3)*(-5)^3\\
+...\\
+(-3)*(-5)=\\\\

=(-3)*(1+(-5)+(-5)^2+(-5)^3+...+(-5)^7)\\
=-(3)* \dfrac{1-(-5)^8}{1-(-5)} \\
=-3* \dfrac{1-5^8}{6} \\\\
\boxed{=195312}\\

$

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