Series Pattern Analysis

The question presents a series of four-letter terms: NOTK, LQQN, ?, HUKT, FWHW. To find the missing term, we need to identify the pattern in the alphabetical positions of the letters.

Let's represent each letter by its position in the alphabet (A=1, B=2, ..., Z=26).

• Term 1: NOTK (14, 15, 20, 11)
• Term 2: LQQN (12, 17, 17, 14)
• Term 3: ?
• Term 4: HUKT (8, 21, 11, 20)
• Term 5: FWHW (6, 23, 8, 23)

Analyze the difference between the positions of corresponding letters in consecutive terms:

• 1st Letter: $14 \rightarrow 12$ (Difference is $-2$); $12 \rightarrow ?$ (Assume $10$); $10 \rightarrow 8$ (Difference is $-2$); $8 \rightarrow 6$ (Difference is $-2$). The pattern is subtracting 2.
• 2nd Letter: $15 \rightarrow 17$ (Difference is $+2$); $17 \rightarrow ?$ (Assume $19$); $19 \rightarrow 21$ (Difference is $+2$); $21 \rightarrow 23$ (Difference is $+2$). The pattern is adding 2.
• 3rd Letter: $20 \rightarrow 17$ (Difference is $-3$); $17 \rightarrow ?$ (Assume $14$); $14 \rightarrow 11$ (Difference is $-3$); $11 \rightarrow 8$ (Difference is $-3$). The pattern is subtracting 3.
• 4th Letter: $11 \rightarrow 14$ (Difference is $+3$); $14 \rightarrow ?$ (Assume $17$); $17 \rightarrow 20$ (Difference is $+3$); $20 \rightarrow 23$ (Difference is $+3$). The pattern is adding 3.

Applying the Pattern to Find the Missing Term

Using the identified patterns (-2, +2, -3, +3) applied to the previous term (LQQN):

• 1st Letter: Position of L is 12. $12 - 2 = 10$. The 10th letter is J.
• 2nd Letter: Position of Q is 17. $17 + 2 = 19$. The 19th letter is S.
• 3rd Letter: Position of Q is 17. $17 - 3 = 14$. The 14th letter is N.
• 4th Letter: Position of N is 14. $14 + 3 = 17$. The 17th letter is Q.

Combining these letters gives the missing term: JSNQ.