Letter Series Pattern Analysis

The question asks to find the missing term in the letter series: SDR, XHU, CLX, ?, MTD, RXG. We need to identify the pattern governing the sequence.

Step 1: Analyze the First Letters

The first letters are S, X, C, ?, M, R.

Convert letters to their corresponding positions in the alphabet: S(19), X(24), C(3), ?, M(13), R(18).

Observe the differences:

• X(24) - S(19) = +5
• C(3) - X(24) = +5 (considering wrap-around: 24 + 5 = 29; 29 mod 26 = 3)

Assuming the pattern is +5 for the first letter:

• The letter after C(3) should be 3 + 5 = 8, which is H.
• Check the next term: H(8) + 5 = 13, which is M. This matches.
• Check the final term: M(13) + 5 = 18, which is R. This also matches.

Therefore, the first letter of the missing term is H.

Step 2: Analyze the Second Letters

The second letters are D, H, L, ?, T, X.

Convert letters to positions: D(4), H(8), L(12), ?, T(20), X(24).

Observe the differences:

• H(8) - D(4) = +4
• L(12) - H(8) = +4

Assuming the pattern is +4 for the second letter:

• The letter after L(12) should be 12 + 4 = 16, which is P.
• Check the next term: P(16) + 4 = 20, which is T. This matches.
• Check the final term: T(20) + 4 = 24, which is X. This also matches.

Therefore, the second letter of the missing term is P.

Step 3: Analyze the Third Letters

The third letters are R, U, X, ?, D, G.

Convert letters to positions: R(18), U(21), X(24), ?, D(4), G(7).

Observe the differences:

• U(21) - R(18) = +3
• X(24) - U(21) = +3

Assuming the pattern is +3 for the third letter:

• The letter after X(24) should be 24 + 3 = 27. Considering wrap-around (27 mod 26 = 1), this is A.
• Check the next term: A(1) + 3 = 4, which is D. This matches.
• Check the final term: D(4) + 3 = 7, which is G. This also matches.

Therefore, the third letter of the missing term is A.

Step 4: Combine the Letters

Combining the results from the previous steps, the missing term consists of the letters H, P, and A.

The missing term is HPA.