Discussion
What comes next in the following letter series : BEI, DGK, FIM, HKO ?
Answer: B
The next group is JMQ.
Write each letter's position in the alphabet. Each position rises by 2 from one group to the next:
\[ \begin{aligned} \text{BEI} &= 2,\ 5,\ 9 \\ \text{DGK} &= 4,\ 7,\ 11 \\ \text{FIM} &= 6,\ 9,\ 13 \\ \text{HKO} &= 8,\ 11,\ 15 \\ \text{next} &= 10,\ 13,\ 17 = \text{JMQ} \end{aligned} \]
Within each group the gaps are also fixed, +3 then +4 (B to E to I). JMN and JMP get the third letter wrong (14 and 16 instead of 17), and JPQ breaks the +3 step from J.
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