What is the arithmetic mean of P and Q?

Consider the following for the next two (02) items that follow:<br><br>Collect all the sequences of five consecutive integers such that their product is equal to one of these integers. Let X be the collection of all possible such sequences. Let P be the smallest integer and Q be the largest integer occurring in these sequences.

  1. A. 0
  2. B. 1
  3. C. 2
  4. D. Cannot be determined due to insufficient data

Correct Answer: A. 0

Explanation

The sequences are \{-4, -3, -2, -1, 0\} up to \{0, 1, 2, 3, 4\}. The smallest integer P across all sequences is -4, and the largest Q is 4. Their arithmetic mean is \frac{-4 + 4}{2} = 0.

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