In each group the letters are equally spaced by six positions in the alphabet. AGM uses positions 1, 7 and 13, BHN uses 2, 8 and 14, CIO uses 3, 9 and 15 and DJP uses 4, 10 and 16. The starting letter increases by one each time, so the next group should start at E and use letters at positions 5, 11 and 17, which are E, K and Q. Hence EKQ is the correct continuation.
Option A:
Option A, EKR, has the correct first two letters but ends with R, which is position 18 instead of 17. That changes the spacing of the last jump to seven rather than six. Because the sequence relies on a constant gap of six between letters in each group, EKR does not follow the pattern.
Option B:
Option B is correct because E, K and Q lie exactly six positions apart from each other, just like the letters in all previous groups. The starting letter E also continues the simple progression from A to D. This combination of consistent internal spacing and systematic movement of the first letter makes EKQ the only valid next term.
Option C:
Option C, ELP, does not keep a constant difference between successive letters, and its positions do not match the earlier arithmetic structure. The gaps inside ELP differ from those inside AGM, BHN, CIO and DJP. Therefore it cannot be considered a proper continuation of the series.
Option D:
Option D, FKR, breaks the pattern by starting at F instead of E and also fails to maintain the fixed six letter spacing. Both the starting position and the internal distances contradict the established rule, so FKR is not correct.
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