What is the middle term of the sequence Z, Z, Y, Y, Y, X, X, X, X, W, W, W, W, W, ..., A?

What is the middle term of the sequence Z, Z, Y, Y, Y, X, X, X, X, W, W, W, W, W, ..., A?
  1. H
  2. I
  3. J
  4. M

Solution

Z appears 2 times, Y 3 times, X 4 times, W 5 times, and so on, the count increasing by one for each preceding letter down to A. Computing the cumulative counts and identifying the middle term of the full sequence, the middle term is the letter I.

Asked in: CSAT 2023

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