Directions: Identify the missing letter in the sequence and choose the appropriate option.

F, H, K, O, T, ?, G

The correct option is Z.

To find the missing letter in the given sequence, let us first convert each letter into its corresponding numerical position in the English alphabet (where A = 1, B = 2, ..., Z = 26):

F = 6
H = 8
K = 11
O = 15
T = 20
? = Missing letter
G = 7 (or 33 when wrapping around the 26-letter alphabet cycle)

Now, let us examine the difference between the numerical positions of consecutive letters:

From F (6) to H (8):
$8-6=2$

From H (8) to K (11):
$11-8=3$

From K (11) to O (15):
$15-11=4$

From O (15) to T (20):
$20-15=5$

The pattern consists of adding consecutive integers (+2, +3, +4, +5, ...). Following this logic, the next difference must be +6.

Adding 6 to the numerical position of T (20):
$20+6=26$

The 26th letter of the alphabet is Z.

We can verify the pattern by checking the final term G:
$26+7=33$
Subtracting the 26 letters of the full alphabet:
$33-26=7$
The 7th letter of the alphabet is indeed G, confirming that Z is the correct missing letter.