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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.
I'm getting B.
Stat 1: All integers could be positive or first two negative. Number of negatives will vary. Insuff.
Stat 2: Only 2 sequences are possible: -, -, +, -, -, + or -, +, -, -, +, - In each case number of -ve integers will be 16. Suff.
I agree on B. either way (3 positive or 3 negative) result is 16 negatives. GKMat, how did you come up with the 16 negative total?
If you see the bold-faced above, the pattern contains 6 integers and 4 negatives in each case. Since there are a total of 24 integers, there will be 4 such patterns of 6 integers in which 4 negatives are repeated each time. Therefore, total number of negatives will be 4*4=16.