The pattern involves multiplying the previous term by a sequentially increasing integer and then adding an odd number. Multiplying 2 by 1 and adding 3 gives 5, then multiplying 5 by 3 and adding 2 gives 17, and multiplying 17 by 4 and adding 3 gives 71. Continuing the sequence, multiply 71 by 5 and add 4 to get 359. The missing term is 359.