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Seq s consists of 24 nonzero integres. If each term in S, [#permalink]
07 Sep 2004, 13:49
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Seq s consists of 24 nonzero integres. If each term in S, after the second is the product of the previous 2 terms, how many terms in S are negative?
1 The third i s positve
2 The fourth term is negative
The third term can be positive if the first two terms are either both positive or both negative. If both positive, you'll not have a negative term in the 24 terms. If both negative, you'll have negative terms.
Thus, the first statement is insufficient.
You can have a negative fourth term in of the following two situations:
(i) - + - -
(ii) - - + -
Apparently, then, there are two possible scenarios. In reality, both the scenarios will give you 16 negative terms in the first 24, and you can prove that by expanding the sequence.