The first four terms of a sequence are \text{3, -6, 12, -24}. write an explicit formula for this sequence, where n is any term number and a\left(n\right) is the nth term.

You can see that each term is twice the previous one, with inverted sign.

You double a number by multiplying it by two, and you change its sign by multiplying it by -1.

So, you multiply each term by 2 and by -1, which results in a multiplication by -2.

Since we start with 3, the terms are

and so on. So, the general term is

the answer for this question is 38

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what do you mean by "representation"? graph? table? etc.