Find the next term in the following alphanumeric series:
C12W, D20O, G30I, L42E, ?
Find the next term in the following alphanumeric series:
C12W, D20O, G30I, L42E, ?
Solution
Looking at the series: C12W, D20O, G30I, L42E, ?
Each term consists of three parts: First letter, Number, Last letter
Analyzing the first letters: C, D, G, L, ?
Position in alphabet:
- C = 3rd letter
- D = 4th letter
- G = 7th letter
- L = 12th letter
Differences between positions:
- 4 - 3 = 1
- 7 - 4 = 3
- 12 - 7 = 5
The differences form the pattern: 1, 3, 5 (consecutive odd numbers)
Next difference = 7
Position of next letter = 12 + 7 = 19
19th letter = S
Analyzing the numbers: 12, 20, 30, 42, ?
Differences:
- 20 - 12 = 8
- 30 - 20 = 10
- 42 - 30 = 12
The differences form the pattern: 8, 10, 12 (increasing by 2)
Next difference = 14
Next number = 42 + 14 = 56
Analyzing the last letters: W, O, I, E, ?
Position in alphabet:
- W = 23rd letter
- O = 15th letter
- I = 9th letter
- E = 5th letter
Differences between positions:
- 15 - 23 = -8
- 9 - 15 = -6
- 5 - 9 = -4
The differences form the pattern: -8, -6, -4 (increasing by 2)
Next difference = -2
Position of next letter = 5 + (-2) = 3
3rd letter = C
The next term is S56C.
Therefore, the answer is Option 2: S56C.
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