Alphabet Series — Next Letter with Growing Steps Complete the sequence: H, I, K, N, ?

Difficulty: Easy

Correct Answer: R

Explanation:


Introduction / Context:
Alphabet series with single letters often advance by step sizes that increase by 1 each time. Detecting the incremental jump (+1, +2, +3, …) determines the next letter quickly.



Given Data / Assumptions:

  • Sequence: H, I, K, N, ?
  • Indexing: A=1, ..., Z=26.
  • Assume increasing step sizes.


Concept / Approach:
Compute the jumps between successive letters and extrapolate the next jump by adding 1 to the previous step size.



Step-by-Step Solution:
H(8) → I(9): +1I(9) → K(11): +2K(11) → N(14): +3Next step should be +4.N(14) + 4 = 18 → R.


Verification / Alternative check:
The pattern of step sizes (1, 2, 3, 4) is strictly increasing by 1, confirming R uniquely.



Why Other Options Are Wrong:

  • O (15), Q (17), S (19): These represent +1, +3, or +5 from N, not the required +4.


Common Pitfalls:
Assuming constant differences or skipping the check on step-size growth. Always list numeric indices to avoid miscounting letter gaps.



Final Answer:
R

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