Find the next number in the given series : 5,9,16,29,54,103, ?

The rule being applied is:

Each term = (previous term × 2) − increasing numbers 1, 2, 3, 4, 5, 6 …

Check:

5 × 2 − 1 = 9
9 × 2 − 2 = 16
16 × 2 − 3 = 29
29 × 2 − 4 = 54
54 × 2 − 5 = 103
103 × 2 − 6 = 200

So the next number is:

200 → Option [A] 200