Which of the following letters will replace the question mark (?) and complete the following letter series? F, D, J, B, N, Z, ?
The core task is to identify the missing letter in the sequence: F, D, J, B, N, Z, ?. This requires finding the underlying pattern or rule that governs the series.
First, let's represent each letter by its corresponding position in the English alphabet (A=1, B=2, ..., Z=26):
The series in numerical form is: $6, 4, 10, 2, 14, 26, ?$
By examining the numerical sequence, we can observe that it seems to be composed of two separate, interwoven sequences:
Sequence 1 (Letters at odd positions): F, J, N, ?
Sequence 2 (Letters at even positions): D, B, Z, ...
We need to find the letter for the 7th position, which belongs to Sequence 1.
Let's focus on the first sequence: F, J, N, ?
The positions are: $6, 10, 14, ?$
Now, let's find the difference between consecutive terms in this sequence:
The pattern for Sequence 1 is consistently adding $4$ to the position number of the previous letter.
To find the next letter (the 7th term overall), we apply this pattern to the last known term of Sequence 1 (N):
Position = Position of N + $4$
Position = $14 + 4 = 18$
The letter corresponding to the position $18$ in the alphabet is R.
Let's examine the second sequence: D, B, Z
The positions are: $4, 2, 26$
Calculate the difference between consecutive terms:
The pattern for Sequence 2 is subtracting $2$ from the position number (using wrap-around).
The question mark is at the 7th position, which is part of the first sequence (F, J, N, ?). Following the pattern of adding $4$, the missing letter is R.
| Term | Letter | Position (Alphabet) | Sequence Type | Operation | Resulting Letter | Resulting Position |
| 1 | F | $6$ | 1 | F | $6$ | |
| 2 | D | $4$ | 2 | D | $4$ | |
| 3 | J | $10$ | 1 | +4 (from F) | J | $10$ |
| 4 | B | $2$ | 2 | -2 (wrap) (from D) | B | $2$ |
| 5 | N | $14$ | 1 | +4 (from J) | N | $14$ |
| 6 | Z | $26$ | 2 | -2 (wrap) (from B) | Z | $26$ |
| 7 | ? | 1 | +4 (from N) | R | $18$ |
Therefore, the letter that correctly replaces the question mark (?) in the series is R.
A series is given with some letters missing. Choose the correct alternative from the given ones that will complete the series:
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Q _ P _ M _ A _ T _ Q A _ T M
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fill in the six blanks ( _ ) using one of the following given four choices such that the series follows a specific order.