Find the missing letter to complete the following alphabetical sequence:

B, D, G, K, P, ?, C

The correct option is V.

To find the missing letter in the given sequence, let us analyze the numerical position of each letter in the standard 26-letter English alphabet:

B = 2
D = 4
G = 7
K = 11
P = 16
? = missing letter
C = 3 (or 29 in cyclic alphabetical order)

Next, let us observe the differences between consecutive terms in the sequence:

From B (2) to D (4):

$4-2=2$

(The position increases by 2)

From D (4) to G (7):

$7-4=3$

(The position increases by 3)

From G (7) to K (11):

$11-7=4$

(The position increases by 4)

From K (11) to P (16):

$16-11=5$

(The position increases by 5)

Notice that the value added to each position increases by 1 at each step (+2, +3, +4, +5, ...). Following this pattern, the next addition to find the missing letter must be +6.

Adding 6 to the alphabetical position of P (16):

$16+6=22$

The 22nd letter of the alphabet is V.

We can verify the consistency of the pattern by adding +7 to V (22) to find the subsequent letter:

$22+7=29$

Since there are 26 letters in the alphabet, position 29 wraps around to the beginning:

$29-26=3$

The 3rd letter of the alphabet is indeed C, which confirms that the sequence pattern holds throughout.

Therefore, the missing letter is V.