Write the explicit formula that represents the geometric sequence -2, 8, -32, 128

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Write the explicit formula that represents the geometric sequence -2, 8, -32, 128

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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first identify the first term: this is -2 now identify your ratio (just a little more work): divide term by previous term
That is take any term and its very previous term and divide that term by its previous term
for example any of these will give your the common ratio: 8/-2 -32/8 128/-32 that is if this is indeed a geometric sequence which the instructions have identified it as one so all of those will be spit out the same number which is....

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Other answers:

-4
Now just put everything in \[a_n=\text{ first term} \cdot \text{ (common ratio)} ^{n-1}\]
a=-2(-4)^n-1?
yes the whole n-1 should be a part of the superscript though like this: a_n=-2(-4)^(n-1) or if I type in pretty latex: \[a_n=-2(-4)^{n-1}\]
thanks

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