Sequence \(S\) consists of 24 nonzero integers. If each term in \(S\) after the second is the product of the previous

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Sequence \(S\) consists of 24 nonzero integers. If each term in \(S\) after the second is the product of the previous two terms, how many terms in \(S\) are negative?

(1) The third term in \(S\) is positive
(2) The fourth term in \(S\) is negative

[spoiler]OA=B[/spoiler]

Source: Princeton Review
Source: — Data Sufficiency |