Solving the Letter Series: B, D, G, K, ?
This question requires us to identify the pattern in the given sequence of letters and find the next letter that logically follows.
Analyzing the Alphabetical Positions
First, let's determine the position of each letter in the English alphabet:
| Letter | Position |
|---|---|
| B | 2 |
| D | 4 |
| G | 7 |
| K | 11 |
Identifying the Pattern in Differences
Now, let's look at the difference between the positions of consecutive letters:
- The difference between D (4) and B (2) is \(4 - 2 = 2\).
- The difference between G (7) and D (4) is \(7 - 4 = 3\).
- The difference between K (11) and G (7) is \(11 - 7 = 4\).
The differences between the positions are 2, 3, and 4. We can observe a clear pattern here: the difference increases by 1 for each subsequent pair of letters.
Calculating the Next Position
Following this pattern, the next difference should be \(4 + 1 = 5\).
To find the position of the next letter in the series, we add this difference to the position of the last letter (K):
Position of K = 11
Next position = Position of K + Next difference
Next position = \(11 + 5 = 16\)
Determining the Missing Letter
The 16th letter in the English alphabet is P.
Therefore, the completed series is B, D, G, K, P.
Conclusion
The letter that completes the series B, D, G, K, ? is P, based on the increasing difference pattern (+\(2, +3, +4, +5\)) between the alphabetical positions of the letters.
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