The series follows the pattern of multiplying the previous term by 2 and then adding 1. Applying this method, we calculate 4 times 2 plus 1 is 9, 9 times 2 plus 2 is 20, 20 times 2 plus 3 is 43, and 43 times 2 plus 4 is 90. Continuing this pattern, the next term is 90 times 2 plus 5, which equals 185.