According to the series given below, fill in the blank with a suitable letter that would satisfy the series.
Z, A, Y, B, X, C, ________
Identifying the Pattern in the Letter Series
The question presents a sequence of letters: Z, A, Y, B, X, C, ________. We need to determine the rule governing this series to find the missing letter.
Analyzing the Series Structure
Let's examine the sequence carefully. It seems like there might be two independent patterns interleaved within the single series:
- Letters at odd positions: 1st (Z), 3rd (Y), 5th (X)
- Letters at even positions: 2nd (A), 4th (B), 6th (C)
Decoding the Odd Position Pattern
Consider the letters at the odd positions:
- Position 1: Z
- Position 3: Y
- Position 5: X
This sequence (Z, Y, X) consists of letters from the end of the alphabet moving backwards. If we assign numerical positions (Z=26, Y=25, X=24), the sequence is 26, 25, 24. The next term in this descending pattern would be 23.
Decoding the Even Position Pattern
Now, let's look at the letters at the even positions:
- Position 2: A
- Position 4: B
- Position 6: C
This sequence (A, B, C) consists of letters from the beginning of the alphabet moving forwards. If we assign numerical positions (A=1, B=2, C=3), the sequence is 1, 2, 3. The next term in this ascending pattern would be 4.
Determining the Missing Letter
The blank space is at the 7th position, which is an odd position. Therefore, we need to find the next letter in the sequence Z, Y, X.
Following the backward alphabetical pattern:
- The letter before X alphabetically is W.
We can also use the numerical positions with LaTeX notation:
The odd positions follow the sequence: $26, 25, 24, \dots$
The next term in this sequence is $24 - 1 = 23$.
The 23rd letter of the alphabet is W.
Thus, the letter W continues the pattern for the odd positions.
Conclusion
The series alternates between a descending sequence starting from Z (Z, Y, X, W, ...) and an ascending sequence starting from A (A, B, C, D, ...). Since the blank is at the 7th position (an odd position), it must follow the descending sequence. The letter following X in reverse alphabetical order is W.
The completed series is Z, A, Y, B, X, C, W.
Similar Questions
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Important Questions from Alphabet Series
Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
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