The next term of the series BCYX, EFVU, HISR, KLPO, ………. is
BCYX: (2, 3, 25, 24)
EFVU: (5, 6, 22, 21)
HISR: (8, 9, 19, 18)
KLPO: (11, 12, 16, 15)
Let’s look at the sequence of positions for each position in the four-letter group:
1st letter: 2, 5, 8, 11. This is an arithmetic progression with a common difference of +3. The next term is 11 + 3 = 14 (N).
2nd letter: 3, 6, 9, 12. This is an arithmetic progression with a common difference of +3. The next term is 12 + 3 = 15 (O).
3rd letter: 25, 22, 19, 16. This is an arithmetic progression with a common difference of -3. The next term is 16 – 3 = 13 (M).
4th letter: 24, 21, 18, 15. This is an arithmetic progression with a common difference of -3. The next term is 15 – 3 = 12 (L).
Combining the next letters based on the pattern: N O M L.
Thus, the next term in the series is NOML.