Series Pattern Analysis

The given series is D6, H12, L18, ?, T30. We need to find the missing term represented by the question mark.

The series consists of pairs, each containing a letter and a number. Let's analyze the pattern for letters and numbers separately.

Letter Pattern

• Identify the position of each letter in the English alphabet:
  • D is the 4^th letter.
  • H is the 8^th letter.
  • L is the 12^th letter.
  • T is the 20^th letter.
• Observe the sequence of positions: 4, 8, 12, ?, 20.
• This is an arithmetic progression where 4 is added to each term to get the next term ($4, 4+4=8, 8+4=12$).
• Following the pattern, the missing position should be $12 + 4 = 16$.
• The 16^th letter of the alphabet is P.

Number Pattern

• Observe the sequence of numbers: 6, 12, 18, ?, 30.
• This is an arithmetic progression where 6 is added to each term to get the next term ($6, 6+6=12, 12+6=18$).
• Following the pattern, the missing number should be $18 + 6 = 24$.

Combining the Patterns

To find the missing term, combine the identified missing letter (P) and the missing number (24).

Therefore, the missing term is P24.