EC, GE, KG, MI, ?
The question asks to find the next element in the letter series: EC, GE, KG, MI, ?
Series Pattern Analysis
We need to identify the pattern governing the sequence. Let's analyze the changes in the first and second letters separately.
First Letter Progression
- The first letters are: E, G, K, M.
- The positions in the alphabet are: E (5), G (7), K (11), M (13).
- The difference between consecutive positions:
- G (7) - E (5) = $+2$
- K (11) - G (7) = $+4$
- M (13) - K (11) = $+2$
- The pattern for the first letters is $+2, +4, +2$. The next step should be $+4$.
- Applying the $+4$ shift to M (13): $13 + 4 = 17$. The 17th letter is Q.
Second Letter Progression
- The second letters are: C, E, G, I.
- The positions in the alphabet are: C (3), E (5), G (7), I (9).
- The difference between consecutive positions:
- E (5) - C (3) = $+2$
- G (7) - E (5) = $+2$
- I (9) - G (7) = $+2$
- The pattern for the second letters is consistently $+2$.
- Applying the $+2$ shift to I (9): $9 + 2 = 11$. The 11th letter is K.
Determining the Missing Term
Combining the next first letter (Q) and the next second letter (K), the missing term in the series is QK.
Conclusion
The option that correctly replaces the question mark is QK.
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