What alphanumeric character will follow in the given series:
2K, 5L, 10N, 17Q, ?

Options

A. 26U
B. 20S
C. 18K
D. 25M

Answer

To solve the problem of finding the next alphanumeric character in the series: 2K, 5L, 10N, 17Q, we can break it down into two parts: the numerical sequence and the letter sequence.

### Step-by-step Solution:

1. **Identify the numerical pattern:**
- The numbers in the series are: 2, 5, 10, 17.
- To find the difference between consecutive numbers:
- 5 - 2 = 3
- 10 - 5 = 5
- 17 - 10 = 7
- The differences are: 3, 5, 7.
- The differences themselves increase by 2 each time (3 + 2 = 5, 5 + 2 = 7).
- Following this pattern, the next difference should be 9 (7 + 2 = 9).
- Therefore, the next number in the sequence will be: 17 + 9 = 26.

2. **Identify the letter pattern:**
- The letters in the series are: K, L, N, Q.
- To find the position of each letter in the alphabet:
- K is the 11th letter.
- L is the 12th letter.
- N is the 14th letter.
- Q is the 17th letter.
- The differences in their positions are:
- L - K = 1 (12 - 11)
- N - L = 2 (14 - 12)
- Q - N = 3 (17 - 14)
- The differences are: 1, 2, 3.
- Following this pattern, the next difference should be 4 (3 + 1 = 4).
- Therefore, the next letter will be: Q (17) + 4 = U (21).

3. **Combine the results:**
- The next alphanumeric character in the series is 26U.

### Final Answer:
The next character in the series is **26U**.