What comes next in the given series?
6L, 9M, 14O, 21R?

Options

A. 32Q
B. 20K
C. 30V
D. 25C

Answer

To find the next term in the series 6L, 9M, 14O, 21R, we can break down the problem into two parts: the numerical part and the alphabetical part.

### Step 1: Analyze the numerical part
The numerical sequence is: 6, 9, 14, 21.

- The difference between the first two terms (6 and 9) is:
\( 9 - 6 = 3 \)

- The difference between the second and third terms (9 and 14) is:
\( 14 - 9 = 5 \)

- The difference between the third and fourth terms (14 and 21) is:
\( 21 - 14 = 7 \)

Now, we can see that the differences are increasing by 2 each time:
- 3 (first difference)
- 5 (second difference)
- 7 (third difference)

Following this pattern, the next difference should be:
- \( 7 + 2 = 9 \)

Now, we add this difference to the last term:
- \( 21 + 9 = 30 \)

### Step 2: Analyze the alphabetical part
The alphabetical sequence is: L, M, O, R.

- The position of L in the alphabet is 12.
- The position of M in the alphabet is 13.
- The position of O in the alphabet is 15.
- The position of R in the alphabet is 18.

Now, let's find the differences in the positions:
- From L (12) to M (13): +1
- From M (13) to O (15): +2
- From O (15) to R (18): +3

The pattern in the differences is increasing by 1 each time:
- 1 (first difference)
- 2 (second difference)
- 3 (third difference)

Following this pattern, the next difference should be:
- \( 3 + 1 = 4 \)

Now, we add this difference to the position of R:
- \( 18 + 4 = 22 \)

The 22nd letter in the alphabet is V.

### Conclusion
Combining both parts, the next term in the series is:
**30V**

### Final Answer
The next term in the series is **30V**.