Which is the next letter in the given alphanumeric series? B, 25, D, 23, G, 19, K, 13, ?

1. Break Down the Problem

We need to identify the pattern in the series: B, 25, D, 23, G, 19, K, 13, ?. The series alternates between letters and numbers.

2. Relevant Concepts

To solve this, we can analyze the two different sequences:

• Letters: B, D, G, K
• Numbers: 25, 23, 19, 13

3. Analysis and Detail

Letter Sequence:

• B (2), D (4), G (7), K (11)
  • The positions of the letters in the alphabet:
    • B = 2
    • D = 4
    • G = 7
    • K = 11
  • The increments between the positions are as follows:
    • D - B = 4 - 2 = 2
    • G - D = 7 - 4 = 3
    • K - G = 11 - 7 = 4
  • The pattern seems to increase by 1 each time: 2, 3, 4. Therefore, the next should be K (11) + 5 = 16, which corresponds to the letter P.

Number Sequence:

• 25, 23, 19, 13
  • The differences are:
    • 23 - 25 = -2
    • 19 - 23 = -4
    • 13 - 19 = -6
  • The pattern of decreasing values seems to follow the sequence of -2, -4, -6. Thus, the next difference should be -8.
  • Therefore, the next number is 13 - 8 = 5.

4. Verify and Summarize

The next term follows the identified patterns:

• From the letter series, the next letter is P.
• From the number series, the next number is 5.

Final Answer

The next term in the series is: P.