What is the next term of the series 3, 5, 9, 17, 33, ?

Explanation

1. 01

   Differences: 2, 4, 8, 16. They double, so the next difference is 32.

2. 02

   Next term $= 33 + 32 = 65$.

3. 03

   The same rule in one line: each term is $2 \times (\text{previous}) - 1$, and $33 \times 2 - 1 = 65$.