The sequence presented is based on the letters A, C, F, and J, which correspond to the numbers 1, 3, 6, and 10 respectively. The pattern involves triangular numbers, where the difference between consecutive numbers increases by one: the difference from 1 to 3 is 2, from 3 to 6 is 3, and from 6 to 10 is 4. Following this pattern, the next difference is 5, leading to the next number being 15. The letter corresponding to the number 15 in the alphabet is O, making O the next letter in the sequence.