Find the next term in the following series: 6Z-25, 8A-23, 10Y-21, 128-19,
2024
Find the next term in the following series:
6Z-25, 8A-23, 10Y-21, 128-19,
- A.
14X-17
- B.
16G-15
- C.
17F-12
- D.
20H-17
Attempted by 127 students.
Show answer & explanation
Correct answer: A
Key insight: the sequence follows three independent patterns for the first number, the letter, and the final number.
First numbers (before the letter): 6, 8, 10, 12, ...
These increase by 2 each time, so the next first number is 14.
Letters (middle): they alternate between two sequences: odd positions descend from Z (Z, Y, X, ...) and even positions ascend from A (A, B, C, ...).
Given the terms: Z (pos1), A (pos2), Y (pos3), B (pos4), the next (pos5) should be X following the descending-from-Z sequence.
Final numbers (after the dash): −25, −23, −21, −19, ...
These decrease by 2 each time, so the next final number is −17.
Note: the given fourth term appears as "128-19" in the prompt; interpreting this as "12B-19" fits the alternating-letter pattern described above.
Therefore the next term is 14X-17.