Explanation:

Let’s break this sequence down:

- O, B, L, C, I, D, F, E, ?

- It doesn’t look like a simple alphabetical skip or reverse.

- Let’s try pairing: O/B, L/C, I/D, F/E

- Now look at the pairs:

- O + B: 15th and 2nd letter, gap of 13

- L + C: 12th and 3rd, gap of 9

- I + D: 9th and 4th, gap of 5

- F + E: 6th and 5th, gap of 1

- The difference between the letter numbers: 13, then 9, then 5, then 1 (subtracting 4 each time)

- Next would be: 5 - 4 = 1, which means two letters with 1 difference: E and D have that, so the next should be a gap of -3, but that would move backward.

- Let's check another logic: Are these the first letters of numbers?

- O (One), B (Two?), L (Three), doesn't fit.

Let's compare with the options:

1. K

2. C

3. H

4. N

- At this point, none of the patterns obviously lands us at C as the next letter.

- Let’s try reverse pairing:

- O/L/I/F (from O down in steps of 3)

- B/C/D/E (alphabetical order)

- So the alternate-letter series: O, L, I, F (decreases by 3 each time: O(15-3)=L(12-3)=I(9-3)=F)

- Next: F(6-3)= C(3)

- That matches Option 2!

- The alternating letters go: B, C, D, E (sequence up by one each time).

- So the answer is: Option 2: C

- The logic: one series is going down by 3 (O, L, I, F...), the other up by 1 (B, C, D, E...)

Option breakdown:

- 1. K – doesn’t fit the sequence

- 2. C – fits perfectly

- 3. H – would break both patterns

- 4. N – doesn’t fit progressions