What is the eighth term in the sequence x+3, - 2x^2 - 6x, 4x^3 +12x^2

Step-by-step explanation:

The terms of the sequence are:

We can rewrite the terms in factored form to get;

We can see that the subsequent terms are obtained by multiplying the previous term by . This is called the common ratio.

Therefore the first term of this geometric sequence is and the common ratio is .

The nth term of a geometric sequence is given by: .

Let us substitute the first term, the common ratio, and to obtain:

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step-by-step explanation: