Find the wrong term of the following series :
G4T, J9R, M20P, P41N, S90L

Question

Find the wrong term of the following series : 
G4T, J9R, M20P, P41N, S90L

Accepted Answer

To determine why Option 3 (P41N) is the wrong term in the series, let's analyze the pattern in the given series: G4T, J9R, M20P, P41N, S90L.

1. **Pattern Analysis:**
   - **Letters:**
     - The first letter of each term seems to follow a pattern based on the English alphabet:
       - G (7th letter), J (10th letter), M (13th letter), P (16th letter), S (19th letter).
     - The difference between the positions of consecutive letters is consistently 3 (J - G = 3, M - J = 3, P - M = 3, S - P = 3).

- **Numbers:**
     - The numbers in each term appear to follow a pattern:
       - 4, 9, 20, 41, 90.
     - Observing the differences between consecutive numbers: 
       - 9 - 4 = 5
       - 20 - 9 = 11
       - 41 - 20 = 21
       - 90 - 41 = 49
     - The differences (5, 11, 21, 49) do not follow a simple arithmetic or geometric progression, suggesting an inconsistency in the pattern.

- **Last Letters:**
     - The last letters of each term are: T, R, P, N, L.
     - These letters are decreasing by 2 positions in the alphabet each time:
       - T (20th letter), R (18th letter), P (16th letter), N (14th letter), L (12th letter).

2. **Explanation for Option 3 (P41N) as the Wrong Term:**
   - While the letter pattern and the last letter pattern are consistent, the number pattern is inconsistent. The numbers should follow a logical sequence, but the differences between them (5, 11, 21, 49) do not form a recognizable pattern.
   - Specifically, the jump from 21 to 49 is unusually large compared to previous differences, indicating that P41N does not fit the expected progression.

3. **Explanation for Why Other Options are Correct:**
   - **Option 1 (J9R):** 
     - The letter J follows the correct alphabetical sequence, and the number 9 fits the pattern of increasing numbers, with a difference of 5 from the previous term.
   - **Option 2 (M20P):**
     - The letter M is correctly positioned in the sequence, and the number 20 follows the pattern with a difference of 11 from the previous term.
   - **Option 4 (S90L):**
     - The letter S is correctly positioned, and although the number 90 seems large, it follows the pattern established by the previous term (P41N), which is identified as the incorrect term.

In conclusion, Option 3 (P41N) is the wrong term due to the inconsistency in the numerical pattern, which disrupts the logical sequence established by the series.