In the sequence a, bb, ccc, dddd, eeeee, ..., what is the letter at the 126th…

2025

In the sequence a, bb, ccc, dddd, eeeee, ..., what is the letter at the 126th position?

  1. A.

    p

  2. B.

    n

  3. C.

    o

  4. D.

    m

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Show answer & explanation

Correct answer: A

Answer: p

The sequence is formed by writing the kth alphabet letter k times:
a (1 time), b (2 times), c (3 times), and so on.

We need the letter at the 126th position in the expanded sequence.

Letters up to the 15th block = 1 + 2 + ... + 15 = 15 × 16 / 2 = 120.

So positions 121 through 136 belong to the 16th block. The 16th letter is p.

Therefore, the letter at the 126th position is p.

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