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Question

Difficulty: MediumNumber and Alphabet Series

Complete the given alphanumeric series by determining the missing term.

Answer:In the series B2D,E6G,H12J,K20M,…B2D, E6G, H12J, K20M, \dots, the term that logically follows next is 【N30P】.

Answer

The term that logically completes the series is N30P.
The series consists of three independent patterns: the first letter advances by +3+3 alphabetical positions (B→E→H→K→NB \rightarrow E \rightarrow H \rightarrow K \rightarrow N), the middle number follows a difference pattern of +4,+6,+8,+10+4, +6, +8, +10 (20+10=3020 + 10 = 30), and the third letter advances by +3+3 alphabetical positions (D→G→J→M→PD \rightarrow G \rightarrow J \rightarrow M \rightarrow P). Combining these results gives N30P.

Step-by-Step Solution

1
Analyze the pattern of the first letters in each term.
The first letters are B,E,H,KB, E, H, K. Their alphabetical positions are 2,5,8,112, 5, 8, 11, which increase by +3+3 each time (2+3=5,5+3=8,8+3=112+3=5, 5+3=8, 8+3=11). The next position is 11+3=1411 + 3 = 14, corresponding to letter NN.
To establish the positional shift pattern for the first component.
2
Analyze the pattern of the middle numerical values.
The sequence of numbers is 2,6,12,202, 6, 12, 20. The differences between consecutive terms are 6−2=46-2=4, 12−6=612-6=6, and 20−12=820-12=8. The differences increase by +2+2 each time (4,6,84, 6, 8). Therefore, the next difference must be 8+2=108 + 2 = 10. The next number is 20+10=3020 + 10 = 30.
To determine the double-difference rule governing the numerical values.
3
Analyze the pattern of the third letters in each term.
The third letters are D,G,J,MD, G, J, M. Their alphabetical positions are 4,7,10,134, 7, 10, 13, which increase by +3+3 each time (4+3=7,7+3=10,10+3=134+3=7, 7+3=10, 10+3=13). The next position is 13+3=1613 + 3 = 16, corresponding to letter PP.
To establish the positional shift pattern for the final component.
4
Combine the components to form the final term.
Combining the first letter (NN), the number (3030), and the last letter (PP) yields N30PN30P.
Synthesizing the three independent patterns into a single term.

Key Concept

Alphanumeric Series Pattern Analysis
Estimated Time:1m 0s
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Topics

Number and Alphabet Series

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