This question asks us to identify the next term in the given sequence: 2Z, 4X, 8U, 14Q, ? We need to analyze the pattern in both the numbers and the letters separately.
Analyzing the Number Pattern
Let's look at the numerical part of the sequence: 2, 4, 8, 14.
- The difference between the first and second term is \(4 - 2 = 2\).
- The difference between the second and third term is \(8 - 4 = 4\).
- The difference between the third and fourth term is \(14 - 8 = 6\).
We can observe a pattern in these differences: 2, 4, 6. The difference is increasing by 2 each time. Following this pattern, the next difference should be \(6 + 2 = 8\).
Therefore, the next number in the sequence is \(14 + 8 = 22\).
Analyzing the Letter Pattern
Now, let's examine the alphabetical part of the sequence: Z, X, U, Q.
We can find the position of each letter in the alphabet (A=1, B=2, ..., Z=26):
- Z is the 26th letter.
- X is the 24th letter.
- U is the 21st letter.
- Q is the 17th letter.
Let's look at the differences in their positions:
- The difference between Z and X is \(26 - 24 = 2\). (Moving backward)
- The difference between X and U is \(24 - 21 = 3\). (Moving backward)
- The difference between U and Q is \(21 - 17 = 4\). (Moving backward)
The pattern in the differences is 2, 3, 4. The number of positions moved backward is increasing by 1 each time. Following this pattern, the next step should be moving backward by 5 positions.
The position of the next letter is \(17 - 5 = 12\). The 12th letter of the alphabet is L.
Determining the Next Term
Combining the next number (22) and the next letter (L), the next term in the series is 22L.
This matches option 3.
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