The first three terms of a geometric sequence are shown. x plus 3 comma negative 2 x squared minus 6 x comma 4 x cubed plus 12 x squared comma dot dot dot What is the eighth term of the sequence?

Each term is obtained by multiplying the previous term by −2x: for example, (−2x)(x + 3) = −2x² − 6x. The eighth term is the first term multiplied by the common ratio raised to the seventh power: (x + 3)(−2x)⁷ = −128x⁷(x + 3) = −128x⁸ − 384x⁷. So the eighth term is negative 128x to the eighth power minus 384x to the seventh power, choice B.

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