Math Problem Statement

What letter completes the pattern?

What letter completes the pattern?

Solution

To solve the puzzle and determine the missing letter, let’s analyze the patterns present in the grid of letters.

Grid:

K   N   H
P   T   L
I   N   ?

Observations:

  1. Vertical Relationships:

    • Column 1: K → P → I: The letters progress down alphabetically in steps of -5 (K is the 11th letter, P is the 16th, and I is the 9th).
    • Column 2: N → T → N: No direct alphabetical progression; this column seems to repeat "N" in the third position.
    • Column 3: H → L → ?: The letters go alphabetically in steps of +4 (H is the 8th letter, L is the 12th, so the next letter should be P, which is the 16th).
  2. Horizontal Relationships:

    • Each row does not display a clear arithmetic pattern. Vertical relationships dominate the progression.

Conclusion:

The missing letter in the grid is P.

Would you like a detailed breakdown or have further questions?


Relative Questions:

  1. Can you identify similar patterns in rows rather than columns?
  2. What other sequences might be hidden in this grid?
  3. How can you confirm the missing letter using alternative methods?
  4. Could there be multiple valid answers based on different assumptions?
  5. How would adding numbers to letters help analyze the patterns?

Tip: Alphabetical positions (A=1, B=2, ...) are a powerful tool for solving such puzzles.

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Math Problem Analysis

Mathematical Concepts

Patterns and Sequences
Algebra

Formulas

Alphabetical positional difference

Theorems

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Suitable Grade Level

Grades 6-8