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Find the missing term in the series: X-3, U-6, R-9, O-12, ?
K-15
L-15
K-16
L-16
L-15
Split the term into two parts: treat letters as a decreasing alphabet sequence (-3 positions) and numbers as an increasing arithmetic sequence (+3).
Split the term into two parts: treat letters as a decreasing alphabet sequence (-3 positions) and numbers as an increasing arithmetic sequence (+3).
Analyze the letter pattern
The alphabetical positions are: X(24), U(21), R(18), O(15). The pattern is -3 for each step. The next position is 15 - 3 = 12, which corresponds to the letter L.
Analyze the number pattern
The numbers are 3, 6, 9, 12. This is a simple arithmetic progression with a common difference of +3. The next number is 12 + 3 = 15.
Combine the results
Combining the letter L and the number 15, we get the term L-15.
A: K-15 is wrong because the letter sequence requires 12 (L), not 11 (K). C: K-16 is wrong because both the letter and the number are incorrect. D: L-16 is wrong because the number sequence requires 15, not 16.
B is correct because the letters follow a minus 3 pattern (X-3=U, U-3=R, R-3=O, O-3=L) and the numbers follow a plus 3 pattern (3, 6, 9, 12, 15).
For alphanumeric series, always solve the letter part and the number part separately to avoid confusion; memorize the A-Z numerical positions (1-26) for faster decoding.