Select the term that can replace the question mark (?) in the following series. AZ, CX, GT, ?
Pattern Analysis for Letter Series AZ, CX, GT, ?
The question presents a series of letter pairs: AZ, CX, GT, and asks for the next term. To solve this, we need to identify the pattern in the alphabetical positions of the letters.
Analyzing First Letters (A, C, G)
- A is the $1^{st}$ letter of the alphabet.
- C is the $3^{rd}$ letter of the alphabet.
- G is the $7^{th}$ letter of the alphabet.
Let's examine the difference between the positions:
- Position difference between C and A: $3 - 1 = 2$.
- Position difference between G and C: $7 - 3 = 4$.
The differences are increasing by 2 ($2, 4, \dots$). The next difference should be $4 + 2 = 6$. Therefore, the position of the next first letter is $7 + 6 = 13$. The $13^{th}$ letter of the alphabet is M.
Analyzing Second Letters (Z, X, T)
- Z is the $26^{th}$ letter of the alphabet.
- X is the $24^{th}$ letter of the alphabet.
- T is the $20^{th}$ letter of the alphabet.
Let's examine the difference between the positions:
- Position difference between X and Z: $24 - 26 = -2$.
- Position difference between T and X: $20 - 24 = -4$.
The differences are decreasing by 2 ($-2, -4, \dots$). The next difference should be $-4 - 2 = -6$. Therefore, the position of the next second letter is $20 - 6 = 14$. The $14^{th}$ letter of the alphabet is N.
Determining the Missing Term
Combining the next first letter (M) and the next second letter (N), the missing term in the series is MN.
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