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The mean of the first n natural numbers is 15.5. Find n.

Competition practiceData & Probability
  • A30
  • B31
  • C15
  • D29

Step-by-Step Solution

The first n natural numbers have sum n(n + 1)/2, so their mean is (n + 1)/2. Setting (n + 1)/2 = 15.5 gives n + 1 = 31 and n = 30.
Answer: A) 30

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