By assigning numbers to the letters of the English alphabet, we get:
Consider pattern A, D, G, J.
The numbers corresponding to the letters are 1, 4, 7, and 10.
1+3=4
4+3=7
7+3=10
∴ The next number in the pattern is
10+3=13.
The letter corresponding to 13 is M.
Thus, the next letter in pattern A, D, G, J is M.
Similarly, consider C, E, G, I. The numbers corresponding to the letters are 3, 5, 7, and 9.
3+2=5
5+2=7
7+2=9
∴ The next number will be
9+2=11.
The letter corresponding to 11 is K.
Consider U, V, W, X. The numbers corresponding to the letters are 21, 22, 23, and 24.
∴ The next number is 25.
The letter corresponding to 25 is Y.