Find the next term in the following letter series :
LXF, MTJ, NPN, OLR, .....

Question

Find the next term in the following letter series : 
LXF, MTJ, NPN, OLR, .....

Accepted Answer

To determine the next term in the letter series LXF, MTJ, NPN, OLR, we need to analyze the pattern in the sequence.

1. **Analyzing the Pattern:**

- **First Letters:**
     - L (12), M (13), N (14), O (15)
     - The pattern is an increment of 1 in the alphabetical order.

- **Second Letters:**
     - X (24), T (20), P (16), L (12)
     - The pattern is a decrement of 4 in the alphabetical order.

- **Third Letters:**
     - F (6), J (10), N (14), R (18)
     - The pattern is an increment of 4 in the alphabetical order.

2. **Predicting the Next Term:**

- **First Letter:**
     - Following the pattern, the next letter after O (15) is P (16).

- **Second Letter:**
     - Following the pattern, the next letter after L (12) is H (8), since we subtract 4.

- **Third Letter:**
     - Following the pattern, the next letter after R (18) is V (22), since we add 4.

Therefore, the next term in the series is PHV.

3. **Explanation of Options:**

- **Option 1: PHV**
     - This option correctly follows the identified pattern: P (16), H (8), V (22).

- **Option 2: PIU**
     - The second letter I (9) does not follow the decrement pattern from L (12) by 4, which should be H (8).
     - The third letter U (21) does not follow the increment pattern from R (18) by 4, which should be V (22).

- **Option 3: PJW**
     - The second letter J (10) does not follow the decrement pattern from L (12) by 4, which should be H (8).
     - The third letter W (23) does not follow the increment pattern from R (18) by 4, which should be V (22).

- **Option 4: PKX**
     - The second letter K (11) does not follow the decrement pattern from L (12) by 4, which should be H (8).
     - The third letter X (24) does not follow the increment pattern from R (18) by 4, which should be V (22).

In conclusion, Option 1 (PHV) is the correct answer as it accurately follows the established pattern in the letter series.