A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
3F, 6G, 11 I, 18 L, ….

Options

A. 21 O
B. 25 N
C. 27 P
D. 27 Q

Explanation

To solve the problem, we need to identify the pattern in the given series: 3F, 6G, 11I, 18L, …

### Step-by-Step Solution:

1. **Identify the Numbers:**
The numbers in the series are: 3, 6, 11, 18.

2. **Find the Differences:**
Let's find the differences between consecutive numbers:
- From 3 to 6: \(6 - 3 = 3\)
- From 6 to 11: \(11 - 6 = 5\)
- From 11 to 18: \(18 - 11 = 7\)

So, the differences are: 3, 5, 7.

3. **Identify the Pattern in Differences:**
The differences (3, 5, 7) are increasing by 2 each time. This indicates that the next difference will be \(7 + 2 = 9\).

4. **Calculate the Next Number:**
To find the next number in the series, we add the next difference to the last number:
- Next number = \(18 + 9 = 27\).

5. **Identify the Letters:**
The letters in the series are: F, G, I, L.
- F is the 6th letter, G is the 7th letter, I is the 9th letter, L is the 12th letter.

6. **Find the Differences in Letters:**
Let's find the positions of the letters:
- From F (6) to G (7): \(7 - 6 = 1\)
- From G (7) to I (9): \(9 - 7 = 2\)
- From I (9) to L (12): \(12 - 9 = 3\)

The differences in letter positions are: 1, 2, 3.

7. **Identify the Pattern in Letter Differences:**
The differences (1, 2, 3) are increasing by 1 each time. Therefore, the next difference will be \(3 + 1 = 4\).

8. **Calculate the Next Letter Position:**
To find the next letter, we add the next difference to the last letter's position:
- Next letter position = \(12 + 4 = 16\), which corresponds to the letter P.

9. **Combine the Results:**
The next term in the series is \(27P\).

### Final Answer:
The next term in the series is **27P**.