Find the next term in the alpha-numeric series: D4T, F9R, H20P, J43N.

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Accepted Answer

To solve the series, analyze the pattern in letters, numbers, and symbols separately:

1. **Letters (First and Last):**  
   - First letters: D, F, H, J (increasing by 2 alphabetically). The next letter is **L**.  
   - Last letters: T, R, P, N (decreasing by 2 alphabetically). The next letter is **L**.

2. **Numbers (Middle):**  
   - Numbers: 4, 9, 20, 43. Observe the pattern:  
     - The difference between consecutive numbers is increasing as follows:  
       $$ 9 - 4 = 5 $$  
       $$ 20 - 9 = 11 $$  
       $$ 43 - 20 = 23 $$  
     - The next difference is double the previous one: $$ 23 	imes 2 = 46 $$. Add this to the last number:  
       $$ 43 + 46 = 89 $$.

Thus, the next term is **L90L**, which corresponds to option **(c)**.

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