The next term in the series : B2E, D5H, F12K, H27N, ? is :
2015
The next term in the series : B2E, D5H, F12K, H27N, ? is :
Answer: D. J58Q — ConceptIn an alpha-numeric series, analyze the alphabetic and numeric positions as independent sequences before combining their next values. Check constant…
- A.
J56I
- B.
I62Q
- C.
Q62J
- D.
J58Q
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Correct answer: D
Concept
In an alpha-numeric series, analyze the alphabetic and numeric positions as independent sequences before combining their next values.
Check constant jumps through letter positions and identify a recurrence or a difference pattern for the numbers.
Application
Term | First letter position | Middle number | Final letter position |
|---|---|---|---|
B2E | B = 2 | 2 | E = 5 |
D5H | D = 4 | 5 | H = 8 |
F12K | F = 6 | 12 | K = 11 |
H27N | H = 8 | 27 | N = 14 |
The first letters B, D, F, H occupy positions 2, 4, 6, 8. The constant jump is +2, so the next first letter is J at position 10.
The final letters E, H, K, N occupy positions 5, 8, 11, 14. The constant jump is +3, so the next final letter is Q at position 17.
The middle numbers are 2, 5, 12, 27. Each term is twice the preceding term plus successive integers: 2 × 2 + 1 = 5; 2 × 5 + 2 = 12; 2 × 12 + 3 = 27. Hence the next value is 2 × 27 + 4 = 58.
Cross-check
The number differences are 3, 7, and 15. Each new difference equals twice the preceding difference plus 1, so the next difference is 31 and 27 + 31 = 58.
Result
Combining J, 58, and Q gives J58Q.