Looking at the series: FBA, IGE, LLI, OQM, ?
Each term consists of three letters. Analyzing the position of each letter in the alphabet:
Term 1: FBA → F(6), B(2), A(1)
Term 2: IGE → I(9), G(7), E(5)
Term 3: LLI → L(12), L(12), I(9)
Term 4: OQM → O(15), Q(17), M(13)
For the first letter of each term:
F(6) → I(9) → L(12) → O(15) → ?
The difference between consecutive terms: +3, +3, +3
Next term: 15 + 3 = 18 → R
For the second letter of each term:
B(2) → G(7) → L(12) → Q(17) → ?
The difference between consecutive terms: +5, +5, +5
Next term: 17 + 5 = 22 → V
For the third letter of each term:
A(1) → E(5) → I(9) → M(13) → ?
The difference between consecutive terms: +4, +4, +4
Next term: 13 + 4 = 17 → Q
The next term in the series is RVQ.
Therefore, the answer is Option 3: RVQ