What letter completes the pattern: K N H, P T …

Advanced Placement (AP) Questions

What letter completes the pattern: K N H, P T L, I N ?

Short Answer

The analysis involves examining letters in three columns, starting with K, P, and I in the first column, then identifying a repeated ‘N’ in the second column. The third column shows a progression where H and L increase by 4 letters, leading to the conclusion that the unknown letter is P, completing the pattern as K N H, P T L, and I N P.

Step-by-Step Solution

Step 1: Analyze the First Column

Begin by examining the first column of letters: K, P, and I. Each letter corresponds to its position in the alphabet: K is the 11th letter, P is the 16th, and I is the 9th. Although the letters do not present a clear sequential pattern, understanding their placements helps identify any existing relationships. Focus on their individual values to see if a connection can be established.

Step 2: Examine the Second Column

Next, look at the second column, which consists of the letters N, T, and N again. The repetition of ‘N’ indicates that the first and third letters are consistent. Therefore, there is no need for further calculations in this column. Recognizing this pattern of repetition is essential in piecing together the overall structure of the letter sequence.

Step 3: Determine the Third Column’s Progression

Finally, focus on the third column with letters H, L, and an unknown letter. The sequence increases by 4 positions in the alphabet: H (8th), L (12th), leading us to calculate that adding 4 to L yields 16, which corresponds to the letter P. Thus, the completed letter pattern is K N H, P T L, and I N P, confirming that ‘P’ is the letter that fits the pattern.

Related Concepts

Alphabet Position

The numerical order of a letter in the english alphabet, where a is 1, b is 2, and so on, allowing for identification of a letter’s value based on its position.

Letter Repetition

A pattern where one or more letters appear multiple times in a sequence, which can indicate consistency or symmetry within a given set of data.

Sequential Progression

A pattern of change in numerical or alphabetical order, where each element in a series is derived by adding a constant value to the previous element, helping to identify relationships among items in a sequence.

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