Step 1: Understanding the Question:
We need to identify the term that breaks the pattern established by the other terms in the series.
Step 2: Detailed Explanation:
Let's check the progression of letters across the terms: BYO, DZQ, HBU, NEZ.
First Letter Analysis:
B (2) \(\xrightarrow{+2}\) D (4)
D (4) \(\xrightarrow{+4}\) H (8)
H (8) \(\xrightarrow{+6}\) N (14)
Pattern: \(+2, +4, +6\). Consistent.
Second Letter Analysis:
Y (25) \(\xrightarrow{+1}\) Z (26)
Z (26) \(\xrightarrow{+2}\) B (2)
B (2) \(\xrightarrow{+3}\) E (5)
Pattern: \(+1, +2, +3\). Consistent.
Third Letter Analysis:
O (15) \(\xrightarrow{+2}\) Q (17)
Q (17) \(\xrightarrow{+4}\) U (21)
U (21) \(\xrightarrow{?}\) Z (26)
The gap between Q and U is +4. The gap between O and Q is +2. If the pattern followed the first letter's logic (+2, +4, +6), the next addition should be +6.
\(U (21) + 6 = 27\), which is A.
However, the term given is Z (26).
This suggests the last term NEZ is incorrect; it should likely be NEA.
Therefore, NEZ does not belong to the series.
Step 3: Final Answer:
The odd one out is NEZ.