Select the alphanumeric term that can replace the question mark (?) in the following series. Z63C, X31F, V15I, T7L, R3O, ?
Analyzing the Alphanumeric Series
The question requires finding the next term in the given alphanumeric series: Z63C, X31F, V15I, T7L, R3O, ?. We need to identify the pattern for the first letter, the number, and the second letter separately.
First Letter Pattern
The sequence of the first letters is Z, X, V, T, R. Let's examine their positions in the alphabet:
- Z is the 26th letter.
- X is the 24th letter.
- V is the 22nd letter.
- T is the 20th letter.
- R is the 18th letter.
The pattern involves subtracting 2 from the position of the preceding letter (26 - 2 = 24, 24 - 2 = 22, etc.). Following this pattern, the next letter's position will be $18 - 2 = 16$. The 16th letter of the alphabet is P.
Number Sequence Pattern
The sequence of numbers is 63, 31, 15, 7, 3. Let's look at the difference between consecutive terms:
- $63 - 31 = 32$
- $31 - 15 = 16$
- $15 - 7 = 8$
- $7 - 3 = 4$
The differences (32, 16, 8, 4) are halving each time. The next difference should be $4 / 2 = 2$. Therefore, the next number in the sequence is $3 - 2 = 1$.
Second Letter Pattern
The sequence of the second letters is C, F, I, L, O. Let's examine their positions in the alphabet:
- C is the 3rd letter.
- F is the 6th letter.
- I is the 9th letter.
- L is the 12th letter.
- O is the 15th letter.
The pattern involves adding 3 to the position of the preceding letter (3 + 3 = 6, 6 + 3 = 9, etc.). Following this pattern, the next letter's position will be $15 + 3 = 18$. The 18th letter of the alphabet is R.
Final Answer Determination
Combining the results from the patterns identified:
- First Letter: P
- Number: 1
- Second Letter: R
The complete alphanumeric term that replaces the question mark (?) is P1R.
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