Step 1: Understanding the Question: We need to identify the pattern in the given series of alphabets and find the next letter that follows the pattern.
Step 2: Key Formula or Approach: The best approach is to find the numerical position of each letter in the alphabet and then determine the mathematical relationship (difference, sum, etc.) between consecutive terms.
Step 3: Detailed Explanation: Let's write down the letters and their corresponding positions in the English alphabet (A=1, B=2, ... Z=26).
- X is the 24th letter.
- U is the 21st letter.
- S is the 19th letter.
- P is the 16th letter.
- N is the 14th letter.
- K is the 11th letter.
Now let's find the difference between the positions of consecutive letters: \[ 24 \xrightarrow{-3} 21 \xrightarrow{-2} 19 \xrightarrow{-3} 16 \xrightarrow{-2} 14 \xrightarrow{-3} 11 \] The pattern is a repeating sequence of subtractions: -3, -2, -3, -2, -3, ... The last operation was -3 (from N to K). Therefore, the next operation should be -2. \[ 11 - 2 = 9 \] The 9th letter of the alphabet is I.
Step 4: Final Answer: The next letter in the series is I.